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Lesson Quizzes Preview 1-1 1-2 1-3 1-4 1-5 1-6 1-7 1-8 1-9 1-10 1-11 Numbers and Patterns Exponents Order of Operations Properties of Numbers Evaluating Algebraic Expressions Writing Algebraic Expressions Equations and Their Solutions Solving Equations by Subtracting Solving Equations by Adding Solving Equations by Dividing Solving Equations by Multiplying 1-1 Numbers and Patterns Lesson Quiz: Part I Identify a possible pattern. Use your pattern to write next three numbers. 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 Lesson Quiz: Part II 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. 14 1-2 Exponents Lesson Quiz Find each value. 1. 73 3. 34 343 2. 63 4. 85 81 216 32,768 Write each number using an exponent and the given base. 5. 125, base 5 6. 16, base 2 53 24 7. Find the volume of a cube if each side is 12 inches long. 1,728 in3 1-3 Order of Operations Lesson Quiz: Part I Simplify each expression. 1. 27 + 56 ÷ 7 2. 9 7–5 35 58 3. (28 – 8) ÷ 4 5 4. 136 – 102 ÷ 5 116 5. (9 – 5)3 1,024 (7 + 1)2 ÷ 4 1-3 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 35 + 8(2) to find how much Denzel paid for a month with 8 calls beyond the basic plan. $51 1-4 Properties of Numbers Lesson Quiz Tell which property is represented. 1. 17 1 = 17 Identity Property Associative Property 3. 2 16 = 16 2 Commutative Property 2. (12 + 14) + 5 = 12 + (14 + 5) Simplify each expression. Justify each step. 4. 4 12 25 1,200 5. 48 + (15 + 2) 65 Use the Distributive Property to find each product. 6. 6 (12 + 5) 7. (20 – 7) 9 102 117 1-5 Evaluating Algebraic Expressions Lesson Quiz Evaluate n + 7 for each value of n. 1. n = 25 32 2. n = 31 38 Evaluate each algebraic expression for the given value of the variables 3. 6y – 5 for y = 7 37 4. 4x2 + 3x for x = 6 162 5. 56 + 3y for x = 4 and y = 3 23 x 6. The expression 7d gives the number of days in d weeks. Evaluate 7d for d = 12. How many days are in 12 weeks? 84 1-6 Writing Algebraic Expressions Lesson Quiz Write each phrase as an algebraic expression. 1. 18 less than a number x – 18 x 2. the quotient of a number and 21 21 3. 8 times the sum of x and 15 8(x + 15) 4. 7 less than the product of a number and 5 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 1-7 Equations and Their Solutions Lesson Quiz Determine whether the given value of each variable is a solution. 1. 85 = 13x for x = 5 no 2. w + 38 = 210 for w = 172 yes 3. 8y = 88 for y = 11 yes 4. 16 = w 6 for w = 98 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.) no 1-8 Solving Equations by Subtracting Lesson Quiz Solve each equation. 1. x + 15 = 72 x = 57 2. 81 = x + 24 x = 57 3. x + 22 = 67 x = 45 4. 93 = x + 14 x = 79 5. Kaitlin is 2 inches taller than Reba. Reba is 54 inches tall. How tall is Kaitlin? 56 inches 1-9 Solving Equations by Adding Lesson Quiz 1. x – 9 = 21 x = 30 2. 14 = x – 3 x = 17 3. x – 7 = 11 x = 18 4. 16 = x – 14 x = 30 5. x – 9 = 11 x = 20 6. Susan is taller than James. The difference in their height is 4 inches. James is 62 inches tall. How tall is Susan? 66 inches 1-10 Solving Equations by Dividing Lesson Quiz Solve each equation. 1. 10y = 300 y = 30 2. 2y = 82 y = 41 3. 63 = 9y y=7 4. 78 = 13x x=6 5. The area of a board game is 468 square inches. Its width is 18 inches. What is the length? 26 inches 1-11 Solving Equations by Multiplying Lesson Quiz Solve each equation. Check your answers. 1. x = 7 x = 70 10 2. 8 = x x = 32 4 3. x = 11 x = 99 9 4. x = 7 x = 105 15 5. The area of Sherry’s flower garden is onefourth 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. 68 square feet