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Math 902 Transition to Algebra and Problem Solving Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is thirteen units larger than x. (sum) Problem #1 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is thirteen units larger than x. (sum) Problem #1 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is five units less than x. (difference) Problem #2 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is five units less than x. (difference) Problem #2 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is four times larger than x. (product) Problem #3 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is four times larger than x. (product) Problem #3 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is one-third of x. (fractional part) Problem #4 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is one-third of x. (fractional part) Problem #4 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is one less than twice the value of x. Problem #5 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is one less than twice the value of x. Problem #5 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is eight more than half the value of x. Problem #6 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is eight more than half the value of x. Problem #6 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is six more than one-fifth the value of x. Problem #7 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is six more than one-fifth the value of x. Problem #7 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is one-sixth of three more than the value of x. Problem #8 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is one-sixth of three more than the value of x. Problem #8 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is three times the difference of the value of x and five. Problem #9 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Problem #9 Words Pictures Illustrate a rectangle that is three times the difference of the value of x and five.

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustrate a rectangle that is one-quarter of the sum of three times the value of x and two. Problem #10 Words Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Problem #10 Words Pictures Illustrate a rectangle that is one-quarter of the sum of three times the value of x and two.

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Math 902 Transition to Algebra and Problem Solving Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. EXAMPLE #1 Order of Operations Pictures Single Operation 1 Op 1 SUM

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. EXAMPLE #2 Order of Operations Pictures 2 Operations Op 1 DIVISION Op 2 SUBTRACTION 1 2

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. EXAMPLE #3 Order of Operations Pictures 3 Operations Op 1 DIVISION Op 2 SUM Op 3 TIMES

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. EXAMPLE #4 Order of Operations Pictures 4 Operations Op 1 TIMES Op 2 DIFFERENCE Op 3 DIVISION Op 4 SUM

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. EXAMPLE #5 Order of Operations Pictures 5 Operations Op 1 DIVIDE Op 2 SUM Op 3 TIMES Op 4 SUM Op 5 DIVIDE

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #1 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #1 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #2 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #2 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #3 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #3 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #4 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #4 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #5 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #5 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #6 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #6 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #7 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #7 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #8 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #8 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #9 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #9 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #10 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. Problem #10 Order of Operations Pictures

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Math 902 Transition to Algebra and Problem Solving Symbols Pictures “FREE RESPONSE with your mind! THINK it out without the Order of Operations.”

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #1 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #1 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #2 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #2 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #3 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #3 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #4 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #4 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #5 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #5 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #6 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #6 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #7 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #7 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #8 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #8 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #9 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #9 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #10 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #10 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #11 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #11 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #12 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #12 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #13 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #13 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #14 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #14 Symbols Pictures

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Math 902 THIS IS A TOUGH ONE! Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #15 Symbols Pictures

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Math 902 THIS IS A TOUGH ONE! Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #15 Symbols Pictures

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Math 902 Transition to Algebra and Problem Solving At the end of this section, let me know if these tasks are more difficult than the two earlier sets of tasks. you think Pictures Symbols

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #1 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #1 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #2 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #2 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #3 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #3 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #4 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #4 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #5 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #5 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #6 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #6 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #7 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #7 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #8 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #8 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #9 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #9 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #10 Pictures Symbols What is the Algebraic Expression?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #10 Pictures Symbols What is the Algebraic Expression?

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Math 902 You’ve been here before Transition to Algebra and Problem Solving Pictures Solution We’re going to solve equations made from the expressions in the last two sections for the unknown values of x. Let’s demonstrate your logic and math.

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #1 Pictures Solution The expression has a value of 52; so what is the value of x? 52

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 45 Problem #1 Pictures Solution The expression has a value of 52; so what is the value of x? 52

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #2 Pictures Solution The expression has a value of 50; so what is the value of x?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #2 Pictures Symbols The expression has a value of 50; so what is the value of x? x = 38

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #3 Pictures Symbols The expression has a value of 45; so what is the value of x? 45

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #3 Pictures Symbols The expression has a value of 45; so what is the value of x? 45 x = 53

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #4 Pictures Solution The expression has a value of 55; so what is the value of x? 55

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 64 Problem #4 Pictures Solution The expression has a value of 55; so what is the value of x? 55

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #5 Pictures Solution The expression has a value of 75; so what is the value of x? 75

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 15 Problem #5 Pictures Solution The expression has a value of 75; so what is the value of x? 75

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #6 Pictures Solution The expression has a value of 12; so what is the value of x? 12

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 36 Problem #6 Pictures Solution The expression has a value of 12; so what is the value of x? 12

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #7 Pictures Solution The expression has a value of 15; so what is the value of x? 15

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 40 Problem #7 Pictures Solution The expression has a value of 15; so what is the value of x? 15

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #8 Pictures Solution The expression has a value of 90; so what is the value of x? 90

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 54 Problem #8 Pictures Solution The expression has a value of 90; so what is the value of x? 90

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #9 Pictures Solution The expression has a value of 52; so what is the value of x? 52

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 16 Problem #9 Pictures Solution The expression has a value of 52; so what is the value of x? 52

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #10 Pictures Solution The expression has a value of 73; so what is the value of x? 73

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 20 Problem #10 Pictures Solution The expression has a value of 73; so what is the value of x? 73

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #11 Pictures Symbols The expression has a value of 14; so what is the value of x? 14

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #11 Pictures Symbols The expression has a value of 14; so what is the value of x? x = 22 14

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #12 Pictures Symbols The expression has a value of 35; so what is the value of x? 35

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #12 Pictures Symbols The expression has a value of 35; so what is the value of x? 35 x = 11

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #13 Pictures Solution The expression has a value of 25; so what is the value of x? 25

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 28 Problem #13 Pictures Solution The expression has a value of 25; so what is the value of x? 25

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #14 Pictures Solution The expression has a value of 13; so what is the value of x? 13

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 24 Problem #14 Pictures Solution The expression has a value of 13; so what is the value of x? 13

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #15 Pictures Solution The expression has a value of 30; so what is the value of x? 30

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 6 Problem #15 Pictures Solution The expression has a value of 30; so what is the value of x? 30

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #16 Pictures Solution The expression has a value of 5; so what is the value of x? 5

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 21 Problem #16 Pictures Solution The expression has a value of 5; so what is the value of x? 5

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #17 Pictures Symbols 20 The expression has a value of 20; so what is the value of x?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #17 Pictures Symbols x = The expression has a value of 20; so what is the value of x?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #18 Pictures Symbols The expression has a value of 22; so what is the value of x? 22

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #18 Pictures Symbols The expression has a value of 22; so what is the value of x? 22 x = 3

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #19 Pictures Symbols The expression has a value of 26; so what is the value of x? 26

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #19 Pictures Symbols The expression has a value of 26; so what is the value of x? 26 x = 7

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #20 Pictures Symbols The expression has a value of 10; so what is the value of x? 10

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #20 Pictures Symbols The expression has a value of 10; so what is the value of x? 10 x = 52

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #21 Pictures Symbols The expression has a value of 9; so what is the value of x? 9

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #9 Pictures Symbols Problem #21 Pictures Symbols The expression has a value of 9; so what is the value of x? 9 x = 7

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: Problem #22 Pictures Symbols 4 The expression has a value of 8; so what is the value of x?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the quantity requested. Illustration: x = 27 Problem #22 Pictures Symbols 4 The expression has a value of 8; so what is the value of x?

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #23 Pictures Solution The expression has a value of 80; so what is the value of x? 80

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 55 Problem #23 Pictures Solution The expression has a value of 80; so what is the value of x? 80

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #24 Pictures Solution The expression has a value of 15; so what is the value of x? 15

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Math 902 Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 6 Problem #24 Pictures Solution The expression has a value of 15; so what is the value of x? 15

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Math 902 THIS IS A TOUGH ONE! Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. Problem #25 Pictures Solution The expression has a value of 0.75; so what is the value of x? 0.75

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Math 902 THIS IS A TOUGH ONE! Transition to Algebra and Problem Solving Using the rectangle below representing an unknown value, x, illustrate the expression at the right. x = 15 Problem #25 Pictures Solution The expression has a value of 0.75; so what is the value of x? 0.75

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Math 902 Recalling the Order of Operations Transition to Algebra and Problem Solving Symbols Solution

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving As demonstrated in our examples in class, to solve an equation involving: ADDITION, we do the opposite and SUBTRACT, SUBTRACTION, we do the opposite and ADD, MULTIPLICATION, We do the opposite and DIVIDE, DIVISION, we do the opposite and MULTIPLY. Examples #1 Symbols Solution

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra If an equation involves more than one operation, before you solve for x: Suppose a value was assigned for x, number the order in which the expression is evaluated and solve in “reverse” order. Examples #2 Symbols Solution

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving If an equation involves more than one operation, before you solve for x: Suppose a value was assigned for x, number the order in which the expression is evaluated and solve in “reverse” order. Examples #3 Symbols Solution

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Problem #1 Symbols Solution x = Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Solve for x:

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Problem #1 Symbols Solution x = Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Solve for x: 19

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Solve for x: Problem #2 Symbols Solution x =

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Solve for x: Problem #2 Symbols Solution x = 68

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Solve for x: Problem #3 Symbols Solution x =

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Solve for x: Problem #3 Symbols Solution x = 13

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Solve for x: Problem #4 Symbols Solution x =

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Solve for x: Problem #4 Symbols Solution x = 45

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Problem #5 Symbols Solution x = Solve for x: (First number the order in which the expression is computed and work backwards.)

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Problem #5 Symbols Solution x = Solve for x: (First number the order in which the expression is computed and work backwards.)

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Problem #6 Symbols Solution x = Solve for x: (First number the order in which the expression is computed and work backwards.)

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Problem #6 Symbols Solution x = Solve for x: (First number the order in which the expression is computed and work backwards.)

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Problem #7 Symbols Solution x = Solve for x: (First number the order in which the expression is computed and work backwards.)

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Problem #7 Symbols Solution x = 23 Solve for x: (First number the order in which the expression is computed and work backwards.) 2 1

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Problem #8 Symbols Solution x = Solve for x: (First number the order in which the expression is computed and work backwards.)

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Problem #8 Symbols Solution x = 5 Solve for x: (First number the order in which the expression is computed and work backwards.)

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Problem #9 Symbols Solution x = Solve for x: (First number the order in which the expression is computed and work backwards.)

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Problem #9 Symbols Solution x = 7 Solve for x: (First number the order in which the expression is computed and work backwards.) 2 1 3

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Problem #10 Symbols Solution x = Solve for x: (First number the order in which the expression is computed and work backwards.)

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Math 902 To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving Problem #10 Symbols Solution x = 20 Solve for x: (First number the order in which the expression is computed and work backwards.)

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Math 902 THIS IS WHAT IT IS ALL ABOUT! Transition to Algebra and Problem Solving Words Solution Applications (some from your text)

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TV Watching. On average, people age 12 or older spent 1704 hours watching TV in This is 202 more than in Determine the number of hours people in this age group spent watching TV in Math 902 Transition to Algebra and Problem Solving Problem #1 Words Solution FROM YOUR TEXT on page 65 problem # 9 PROBLEM FROM TEXTBOOK

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Longest Rivers. The longest river in the world is the Amazon in South America at about 4225 miles. The longest river in the United States is the Missouri-Mississippi at about 3860 miles. How much longer is the Amazon? Math 902 Transition to Algebra and Problem Solving Problem #2 Words Solution FROM YOUR TEXT on page 65 problem # 12 PROBLEM FROM TEXTBOOK

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Motorcycle Sales. Motorcycle sales totaled 521,000 in the United States in Sales in 2006 exceeded this total by 669,000. How many motorcycles were sold in 2006? Math 902 Transition to Algebra and Problem Solving Problem #3 Words Solution FROM YOUR TEXT on page 67 problem # 27 PROBLEM FROM TEXTBOOK

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Yard-Sale Profit. Ruth made $312 at her yard sale and divided the money equally among her four grandchildren. How much did each child receive? Math 902 Transition to Algebra and Problem Solving Problem #4 Words Solution FROM YOUR TEXT on page 67 problem # 29 PROBLEM FROM TEXTBOOK

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Refrigerator Purchase. Gourmet Deli has a chain of 24 restaurants. It buys commercial refrigerator for each store at a cost of $1019 each. Determine the total cost of the purchase. Math 902 Transition to Algebra and Problem Solving Problem #5 Words Solution FROM YOUR TEXT on page 67 problem # 33 PROBLEM FROM TEXTBOOK

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Elena buys 5 video games at $64 each and pays them with $10 bills. How many $10 bills does it take? Math 902 Transition to Algebra and Problem Solving Problem #6 Words Solution FROM YOUR TEXT on page 69 problem # 49 PROBLEM FROM TEXTBOOK

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The balance in Dylan’s bank account is $749. He uses his debit card for purchases of $34 and $65. Then me makes a deposit of $123 from his paycheck. What is his new balance? Math 902 Transition to Algebra and Problem Solving Problem #7 Words Solution FROM YOUR TEXT on page 69 problem # 52 PROBLEM FROM TEXTBOOK

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A mining company estimates that a crew must tunnel 2000 feet into a mountain to reach a deposit of copper ore. Each day, the crew tunnels about 500 feet. Each night, about 200 feet of lose rocks rolls back into the tunnel. How many days will it take the mining company to reach the copper deposit? Math 902 Transition to Algebra and Problem Solving Problem #8 Words Solution FROM YOUR TEXT on page 84 problem # 67 PROBLEM FROM TEXTBOOK

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Laura has a charge of $477 on her credit card, but she then returns a sweater that costs $129. How much does she now owe on her credit card? Math 902 Transition to Algebra and Problem Solving Problem #9 Words Solution FROM YOUR TEXT on page 103 problem # 72 PROBLEM FROM TEXTBOOK

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Surface Temperature on Mercury. Surface temperatures on Mercury vary from 840°F on the equator when the planet is closest to the sun to -290°F at night. Find the difference between these temperatures. Math 902 Transition to Algebra and Problem Solving Problem #10 Words Solution FROM YOUR TEXT on page 104 problem # 104 PROBLEM FROM TEXTBOOK

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Peter had $4.00 while Mary had $7.oo. How much did they have altogether? Math 902 Transition to Algebra and Problem Solving Problem #1 Words Solution

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Peter had $4.00 while Mary had $7.oo. How much did they have altogether? Math 902 Transition to Algebra and Problem Solving Problem #1 Words Solution

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Jim took $23.00 with him to go shopping. His sister, Loretta took $13.00 more than he did. How much did Loretta take shopping? Math 902 Transition to Algebra and Problem Solving Problem #2 Words Solution

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Jim took $23.00 with him to go shopping. His sister, Loretta took $13.00 more than he did. How much did Loretta take shopping? Math 902 Transition to Algebra and Problem Solving Problem #2 Words Solution

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Barbara fills a container with 9 cartons of maple syrup. Each carton contains 2 quarts of maple syrup. What is the capacity of the container (in quarts)? Math 902 Transition to Algebra and Problem Solving Problem #3 Words Solution

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Bonnie spent a total of $140 on her car. Jim spent 5 times the amount that Bonnie spent. What was the total spent by Bonnie and Jim? Math 902 Transition to Algebra and Problem Solving Problem #4 Words Solution

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Bonnie spent a total of $140 on her car. Jim spent 5 times the amount that Bonnie spent. What was the total spent by Bonnie and Jim? Math 902 Transition to Algebra and Problem Solving Problem #4 Words Solution

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Jerry weighed himself. His weight was 175 lbs. He was 5 times heavier than his brother, Sam. What was the difference in their weight? Math 902 Transition to Algebra and Problem Solving Problem #5 Words Solution

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Jerry weighed himself. His weight was 175 lbs. He was 5 times heavier than his brother, Sam. What was the difference in their weight? Math 902 Transition to Algebra and Problem Solving Problem #5 Words Solution

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Mary had a box of mangos. After giving 3 mangos each to 7 children, she had 20 left. How many mangos were there in the box at first? Math 902 Transition to Algebra and Problem Solving Problem #6 Words Solution

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Mary had a box of mangos. After giving 3 mangos each to 7 children, she had 20 left. How many mangos were there in the box at first? Math 902 Transition to Algebra and Problem Solving Problem #6 Words Solution

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Dylan bought 4 boxes of cookies. There were 12 chocolate and 8 sugar cookies in each box. He put together a platter of 40 chocolate and 25 sugar cookies for church. How many of each kind of cookies did he have left? Math 902 Transition to Algebra and Problem Solving Problem #7 Words Solution

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Dylan bought 4 boxes of cookies. There were 12 chocolate and 8 sugar cookies in each box. He put together a platter of 40 chocolate and 25 sugar cookies for church. How many of each kind of cookies did he have left? Math 902 Transition to Algebra and Problem Solving Problem #7 Words Solution

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Mary had 1240 picture cards. She kept 80 cards for herself and gave the rest to a group of children. Each child received 8 cards. How many children were in the group? Math 902 Transition to Algebra and Problem Solving Problem #8 Words Solution

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Mary had 1240 picture cards. She kept 80 cards for herself and gave the rest to a group of children. Each child received 8 cards. How many children were in the group? Math 902 Transition to Algebra and Problem Solving Problem #8 Words Solution

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Each pen cost 85 cents while a package of 3 pencils costs 65 cents. Kyle purchased 8 pens and 12 pencils. How much did Kyle spend on his purchase? Math 902 Transition to Algebra and Problem Solving Problem #9 Words Solution

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Each pen cost 85 cents while a package of 3 pencils costs 65 cents. Kyle purchased 8 pens and 12 pencils. How much did Kyle spend on his purchase? Math 902 Transition to Algebra and Problem Solving Problem #9 Words Solution

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For the past 4 months, Grace’s salary was $1895 per month. She saved $3032 during the 4 months and spent the rest. How much did she spend? Math 902 Transition to Algebra and Problem Solving Problem #10 Words Solution

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For the past 4 months, Grace’s salary was $1895 per month. She saved $3032 during the 4 months and spent the rest. How much did she spend? Math 902 Transition to Algebra and Problem Solving Problem #10 Words Solution

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Bob had a total of $825 to spend on Christmas shopping. He spent 2/3 of it on his wife’s present. How much did he spend on his wife’s present? Math 902 Transition to Algebra and Problem Solving Problem #11 Words Solution

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Simi withdrew $1224 from his savings. He spent half of it on fixing his car. One-third of what he had remaining was used for school. How much did he have left? Math 902 Transition to Algebra and Problem Solving Problem #12 Words Solution

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Simi withdrew $1224 from his savings. He spent half of it on fixing his car. One-third of what he had remaining was used for school. How much did he have left? Math 902 Transition to Algebra and Problem Solving Problem #12 Words Solution

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Sally took three-eight of a cake to her office to share with her office mates, and her sister ate one-fifth of the remaining portion. What fraction of the cake was left? Math 902 Transition to Algebra and Problem Solving Problem #13 Words Solution

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Sally took three-eight of a cake to her office to share with her office mates, and her sister ate one-fifth of the remaining portion. What fraction of the cake was left? Math 902 Transition to Algebra and Problem Solving Problem #13 Words Solution

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Judy bought some eggs. She used 2/5 of the eggs to bake cakes. She had 18 eggs left. How many eggs did she did she buy? Math 902 Transition to Algebra and Problem Solving Problem #14 Words Solution

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Judy bought some eggs. She used 2/5 of the eggs to bake cakes. She had 18 eggs left. How many eggs did she did she buy? Math 902 Transition to Algebra and Problem Solving Problem #14 Words Solution

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Fred could not divide the amount of money in his pocket equally among his 4 kids. His wife gave him an additional $3 after which each of his 4 kids received $8. How much money did Fred have at the beginning? Math 902 Transition to Algebra and Problem Solving Problem #15 Words Solution

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Fred could not divide the amount of money in his pocket equally among his 4 kids. His wife gave him an additional $3 after which each of his 4 kids received $8. How much money did Fred have at the beginning? Math 902 Transition to Algebra and Problem Solving Problem #15 Words Solution

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Cindy received 2/5 of her grandfather’s estate which totaled $220,000. How much did she receive? Math 902 Transition to Algebra and Problem Solving Problem #16 Words Solution

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Cindy received 2/5 of her grandfather’s estate which totaled $220,000. How much did she receive? Math 902 Transition to Algebra and Problem Solving Problem #16 Words Solution

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Marian’s portion of lottery ticket winnings was $1,575,000 which was 3/8 of the total. How much was the total winnings? Math 902 Transition to Algebra and Problem Solving Problem #17 Words Solution

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Marian’s portion of lottery ticket winnings was $1,575,000 which was 3/8 of the total. How much was the total winnings? Math 902 Transition to Algebra and Problem Solving Problem #17 Words Solution

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Jimmy shops at the farmer’s market each weekend and buys twice as many bananas compared to the total amount of all the other fruits he purchases. he purchased 7 apples, 4 pears, and 3 oranges. How many bananas did he buy? Math 902 Transition to Algebra and Problem Solving Problem #18 Words Solution

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Jimmy shops at the farmer’s market each weekend and buys twice as many bananas compared to the total amount of all the other fruits he purchases. he purchased 7 apples, 4 pears, and 3 oranges. How many bananas did he buy? Math 902 Transition to Algebra and Problem Solving Problem #18 Words Solution

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Tristan divided a certain amount of money into 3 equal shares. He gave the first share to Betty, the second share to Veronica, and then divide the remainder into 3 equal shares and gave one share to Archie. He kept the rest totaling $24. How much money did Tristan have at the beginning? Math 902 Transition to Algebra and Problem Solving Problem #19 Words Solution

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Tristan divided a certain amount of money into 3 equal shares. He gave the first share to Betty, the second share to Veronica, and then divide the remainder into 3 equal shares and gave one share to Archie. He kept the rest totaling $24. How much money did Tristan have at the beginning? Math 902 Transition to Algebra and Problem Solving Problem #19 Words Solution

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Tom spent three-quarters of his money on a dictionary. He spent one-half of the remainder on a calculator. The dictionary cost $30 more than the calculator. How much does the dictionary cost? Math 902 Transition to Algebra and Problem Solving Problem #20 Words Solution

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Tom spent three-quarters of his money on a dictionary. He spent one-half of the remainder on a calculator. The dictionary cost $30 more than the calculator. How much does the dictionary cost? Math 902 Transition to Algebra and Problem Solving Problem #20 Words Solution

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