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Course Variables and Algebraic Expressions Do Now Evaluate. 1. 5(7) – (18 – 11) (40 – 35) (12 – 4) HWK; p 7 and p 10

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Course Variables and Algebraic Expressions EQ: How do I evaluate and simplify algebraic expressions? M7A1b Evaluate algebriac expressions, using commuative, associative, and distributive properties

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Course Variables and Algebraic Expressions Vocabulary Variable – a letter that represents a number Constant – a number algebraic expression – consist of one or more variables Evaluate – substitute a number for a variable

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Course Variables and Algebraic Expressions Evaluate k + 9 for each value of k. Additional Example 1: Evaluating Algebraic Expressions A. k = 5 k Substitute 5 for k. Add. B. k = 2 k Substitute 2 for k. 11 Add.

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Course Variables and Algebraic Expressions Check It Out: Example 1 Evaluate a + 6 for each value of a. A. a = 3 9 Add. B. a = 5 11 Add.

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Course Variables and Algebraic Expressions Multiplication and division of variables can be written in several ways, as shown in the table. When evaluating expressions, use the order of operations.

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Course Variables and Algebraic Expressions Evaluate the expression for the given value of the variable. Additional Example 2: Evaluating Algebraic Expressions Involving Order of Operations A. 4x – 3 for x = 2 4(2) – 3 8 – 3 5 Substitute 2 for x. Multiply. Subtract.

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Course Variables and Algebraic Expressions Additional Example 2: Evaluating Algebraic Expressions Involving Order of Operations B. s ÷ 5 + s, for s = C. 5x 2 + 3x, for x = 2 26

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Course Variables and Algebraic Expressions Check It Out: Example 2A Evaluate the expression for the given value of the variable. A. 3x – 2 for x = 3 7

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Course Variables and Algebraic Expressions Check It Out: Example 2 B. r ÷ 3 + r, for r = C. 4y 2 + 2y, for y = 3 42

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Course Variables and Algebraic Expressions Evaluate Additional Example 3: Evaluating Algebraic Expressions with Two Variables 6a6a + 4b, for a = 3 and b = 2. 10

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Course Variables and Algebraic Expressions Check It Out: Example 3 Evaluate 8w8w + 2x, for w = 4 and x = 2. 6

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Course Variables and Algebraic Expressions Determine whether the given value of the variable is a solution of t + 9 = 17. Additional Example 1A: Determining Whether a Number is a Solution of an Equation = 17 ? 35 = 17 ? 26 is not a solution of t + 9 = 17. Substitute 26 for t. t + 9 = 17 Course Equations and Their Solutions

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Course Variables and Algebraic Expressions Additional Example 1B: Determining Whether a Number is a Solution of an Equation Determine whether the given value of the variable is a solution of t + 9 = = 17 ? 17 = 17 ? 8 is a solution of t + 9 = 17. Substitute 8 for t. t + 9 = 17 Course Equations and Their Solutions

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Course Variables and Algebraic Expressions Check It Out: Example 1 Insert Lesson Title Here Determine whether each number is a solution of x – 5 = 12. A – 5 = 12 ? 17 = 12 ? 22 is not a solution of x – 5 = 12. Substitute 22 for x. B. 8 8 – 5 = 12 ? 3 = 12 ? 8 is not a solution of x – 5 = 12. Substitute 8 for x. x – 5 = 12 Course Equations and Their Solutions

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Course Variables and Algebraic Expressions TOTD Evaluate n + 7 for each value of n. 1. n = n =31 Evaluate each algebraic expression for the given value of the variables 3. 6y – 5 for y = x 2 + 3x for x = y for x = 4 and y = 3 6. The expression 7d gives the number of days in d weeks. Evaluate 7d for d = 12. How many days are in 12 weeks? x 23 84

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Course Variables and Algebraic Expressions TOTD Determine whether the given value of the variable is a solution of 5 + x = x = x = 52 Determine whether the given value of the variable is a solution of 57 – y = y = y = Kwan has 14 marbles. This is 7 more than Drue has. Does Drue have 21 or 7 marbles? no yes Insert Lesson Title Here no yes 7 Course Equations and Their Solutions

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