1. 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

2. 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, –192 3. 0, 1, 3, 6, 10,,,, … Add 1 more than the number previously added; 15, 21, 28. 1-1 Numbers and Patterns

3. Identify a possible pattern. Use your pattern to draw the next three figures. 4. 5. 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 14 1-1 Numbers and Patterns

4. Lesson Quiz Find each value. 1. 7 3 3. 3 4 Write each number using an exponent and the given base. 5. 125, base 5 6. 16, base 2 7. Find the volume of a cube if each side is 12 inches long. 216 343 81 2. 6 3 4. 8 5 32,768 5353 2424 1,728 in 3 1-2 Exponents

5. Lesson Quiz: Part I Simplify each expression. 1. 27 + 56 ÷ 7 2. 9  7 – 5 3. (28 – 8) ÷ 4 4. 136 – 10 2 ÷ 5 5. (9 – 5) 3  (7 + 1) 2 ÷ 4 58 35 5 116 1,024 1-3 Order of Operations

6. 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 35 + 8(2) to find how much Denzel paid for a month with 8 calls beyond the basic plan. $51 1-3 Order of Operations

7. Lesson Quiz Tell which property is represented. 1. 17  1 = 17 2. (12 + 14) + 5 = 12 + (14 + 5) 3. 2  16 = 16  2 Simplify each expression. Justify each step. 4. 4  12  25 5. 48 + (15 + 2) Use the Distributive Property to find each product. 6. 6  (12 + 5) 7. (20 – 7)  9 Identity Property Associative Property Commutative Property 1,200 65 102 117 1-4 Properties of Numbers

8. Lesson Quiz Evaluate n + 7 for each value of n. 1. n = 25 2. n = 31 Evaluate each algebraic expression for the given value of the variables 3. 6y – 5 for y = 7 4. 4x 2 + 3x for x = 6 5. + 3y 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? 3832 37 162 56 x 23 84 1-5 Evaluating Algebraic Expressions

9. Lesson Quiz Write each phrase as an algebraic expression. 1. 18 less than a number 2. the quotient of a number and 21 3. 8 times the sum of x and 15 4. 7 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. 6 + 2r x 21 1-6 Writing Algebraic Expressions

10. Determine whether the given value of each variable is a solution. 1. 85 = 13x for x = 5 2. w + 38 = 210 for w = 172 3. 8y = 88 for y = 11 4. 16 = 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

11. Solve each equation. 1. x + 15 = 72 2. 81 = x + 24 3. x + 22 = 67 4. 93 = x + 14 Lesson Quiz x = 57 x = 45 x = 79 56 inches 5. Kaitlin is 2 inches taller than Reba. Reba is 54 inches tall. How tall is Kaitlin? 1-8 Solving Equations by Subtracting

12. 1. x – 9 = 21 2. 14 = x – 3 3. x – 7 = 11 4. 16 = x – 14 5. 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 = 20 66 inches 1-9 Solving Equations by Adding

13. Solve each equation. 1. 10y = 300 2. 2y = 82 3. 63 = 9y 4. 78 = 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

14. 1. = 7 2. 8 = 3. = 11 4. = 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 = 105 68 square feet x 4 x 9 Solve each equation. Check your answers. x 10 x 15 1-11 Solving Equations by Multiplying