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Ratios Exponents Geometry/ Probability 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 Properties Solve QUESTION 1 - 10 A graph of a line has coordinates (0,0) and (5,25). Write an equation of the line using the constant of proportionality. ANSWER 1 – 10 y=5x QUESTION 1 - 20 A bucket is a third full. It contains 4 quarts of water. There are 4 cups in a quart. How many cups of water would it take to completely fill the bucket? ANSWER 1 – 20 48 cups QUESTION 1 - 30 • A skirt costs $140 and is on sale for 20% off. What is the sale’s price of the skirt? ANSWER 1 – 30 $112 QUESTION 1 - 40 At Lids, an originally priced $25 hat is on sale for 30% off. At Kohl’s, the same hat originally costs $30 and is on sale for 35% off. Which store will the hat be the better deal? How much less would you pay? ANSWER 1 – 40 Lids would have the better deal by $2. QUESTION 1 - 50 Given the graph below, write an equation for the line using the constant of proportionality. ANSWER 1 – 50 y=3x QUESTION 2 - 10 • The expression: 7-3 can be written in which of the following: a.) 1 343 b.) -343 c.) 1 73 ANSWER 2 – 10 a and c QUESTION 2 - 20 • The expression: (33)(3-5) is simplified to: _____ ANSWER 2 – 20 1 9 QUESTION 2 - 30 • If Julie lives 3.2 ∙ 106 meters away from her friend and she takes a break every 8 ∙ 102 meters. How many breaks does Julie end up taking? Write your answer in scientific notation. ANSWER 2 – 30 4 ∙ 103 breaks QUESTION 2 - 40 • Simplify: 6.4∙109 1∙10−6 ANSWER 2 – 40 6.4 ∙ 1015 QUESTION 2 - 50 • 5−6 Simplify: −4 5 ANSWER 2 – 50 1 25 QUESTION 3 - 10 • Find the area of the square and four semi-circles below. Leave your answer in terms of pi. 9 cm ANSWER 3 – 10 81 𝜋 4 + 81 or 20.25𝜋 + 81 QUESTION 3 - 20 • The height of the door to Connor’s house is 6.75 feet. The height of the door in a drawing he drew is 2.5 inches. If the width of the door in the drawing is 3.375 feet. What is the width of the door in Connor’s drawing? ANSWER 3 – 20 1.25 inches QUESTION 3 - 30 Given three angles on a line. If one measures 3x, the second measures 3x-15, and the third measures 4x+45. What is the angle measure of the largest angle? ANSWER 3 – 30 105 degrees QUESTION 3 - 40 What is the volume of the following three-dimensional figure? ANSWER 3 – 40 672 square meters QUESTION 3 - 50 A set contains the numbers: 3, 4, 7, 8. Two different numbers are selected randomly from the set (without replacement). What is the probability that the sum is odd? ANSWER 3 – 50 2 3 QUESTION 4 - 10 • Simplify: -3(2x-7) ANSWER 4 – 10 -6x+21 QUESTION 4 - 20 Simplify: 7 𝑥 − 3 − 2(2𝑥 + 7) ANSWER 4 – 20 3x-35 QUESTION 4 - 30 What is m in the following expression in order for the simplified expression to be 3 𝑥 4 − 3? 3 (𝑥 4 + m) ANSWER 4 – 30 -4 QUESTION 4 - 40 5 6 Simplify: (12x-42) ANSWER 4 – 40 10x-35 QUESTION 4 - 50 • Michael simplifies an expression and gets 6x+18 as his answer. Which of the following could be the expression he had initially? a.) 3(2x+18) b.) -2(-3x+9) c.) 6(x+18) d.) −1 (−12𝑥 2 −36) ANSWER 4 – 50 a and d QUESTION 5 - 10 Solve: −3𝑧 − 14 = 31 ANSWER 5 – 10 z=-15 QUESTION 5 - 20 2 3 • Solve: 𝑥 − 42 = −54 ANSWER 5 – 20 x=-18 QUESTION 5 - 30 • Solve and make a number line to show the solution: -2x-3<9 ANSWER 5 – 30 x>-6 QUESTION 5 - 40 Write and solve an equation. Heather has $15 and earns $2.25 each week. How many weeks will it take her to have $35.25? ANSWER 5 – 40 It will take Heather 9 weeks to have $35.25. QUESTION 5 - 50 Write and solve an inequality. Make a number line. Three less than twice a number is at least nine. ANSWER 5 – 50 x>6