1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers.

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1-1 Numbers and PatternsNumbers and Patterns 1-2 ExponentsExponents 1-3 Order of OperationsOrder of Operations 1-4 Properties of NumbersProperties of Numbers 1-5 Evaluating Algebraic ExpressionsEvaluating Algebraic Expressions 1-6 Writing Algebraic ExpressionsWriting Algebraic Expressions 1-7 Equations and Their SolutionsEquations and Their Solutions 1-8 Solving Equations by SubtractingSolving Equations by Subtracting 1-9 Solving Equations by AddingSolving Equations by Adding 1-10 Solving Equations by DividingSolving Equations by Dividing 1-11 Solving Equations by MultiplyingSolving Equations by MultiplyingPreview Lesson Quizzes

Identify a possible pattern. Use your pattern to write next three numbers. Lesson Quiz: Part I 1. –8, –6, –4,,,, … Add 2; –2, 0, 2 2. –3, 6, –12, 24,,,, … Multiply by –2; –48, 96, – , 1, 3, 6, 10,,,, … Add 1 more than the number previously added; 15, 21, Numbers and Patterns

Identify a possible pattern. Use your pattern to draw the next three figures Make a table that shows the number of dots in the figure. Tell how many dots are in the seventh figure of a possible pattern. Use drawings to justify your answer. Lesson Quiz: Part II Numbers and Patterns

Lesson Quiz Find each value Write each number using an exponent and the given base , base , base 2 7. Find the volume of a cube if each side is 12 inches long , ,728 in Exponents

Lesson Quiz: Part I Simplify each expression ÷  7 – 5 3. (28 – 8) ÷ – 10 2 ÷ 5 5. (9 – 5) 3  (7 + 1) 2 ÷ , Order of Operations

Lesson Quiz: Part II 6. Denzel paid a basic fee of $35 per month plus $2 for each phone call beyond his basic plan. Simplify the expression (2) to find how much Denzel paid for a month with 8 calls beyond the basic plan. $ Order of Operations

Lesson Quiz Tell which property is represented  1 = ( ) + 5 = 12 + (14 + 5) 3. 2  16 = 16  2 Simplify each expression. Justify each step  12  (15 + 2) Use the Distributive Property to find each product  (12 + 5) 7. (20 – 7)  9 Identity Property Associative Property Commutative Property 1, Properties of Numbers

Lesson Quiz 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 Evaluating Algebraic Expressions

Lesson Quiz Write each phrase as an algebraic expression less than a number 2. the quotient of a number and times the sum of x and less than the product of a number and 5 x – 18 8(x + 15) 5n – 7 5. The county fair charges an admission of $6 and then charges $2 for each ride. Write an algebraic expression to represent the total cost after r rides at the fair r x Writing Algebraic Expressions

Determine whether the given value of each variable is a solution = 13x for x = 5 2. w + 38 = 210 for w = y = 88 for y = = w  6 for w = 98 Lesson Quiz no yes no 5. The local pizza shop charged Kylee $172 for 21 medium pizzas. The price of a medium pizza is $8. Determine if Kylee paid the correct amount of money. (Hint: $8 pizzas = total cost.) 1-7 Equations and Their Solutions

Solve each equation. 1. x + 15 = = x x + 22 = = x + 14 Lesson Quiz x = 57 x = 45 x = inches 5. Kaitlin is 2 inches taller than Reba. Reba is 54 inches tall. How tall is Kaitlin? 1-8 Solving Equations by Subtracting

1. x – 9 = = x – 3 3. x – 7 = = x – x – 9 = 11 Lesson Quiz 6. Susan is taller than James. The difference in their height is 4 inches. James is 62 inches tall. How tall is Susan? x = 30 x = 17 x = 18 x = 30 x = inches 1-9 Solving Equations by Adding

Solve each equation y = y = = 9y = 13x Lesson Quiz 5. The area of a board game is 468 square inches. Its width is 18 inches. What is the length? y = 30 y = 41 y = 7 x = 6 26 inches 1-10 Solving Equations by Dividing

1. = = 3. = = 7 Lesson Quiz 5. The area of Sherry’s flower garden is one- fourth the area of her vegetable garden. The area of the flower garden is 17 square feet. Let x represent the area of her vegetable garden. Find the area of her vegetable garden. x = 70 x = 32 x = 99 x = square feet x 4 x 9 Solve each equation. Check your answers. x 10 x Solving Equations by Multiplying