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Name Date Class Prime Time Unit Test Review 1. Find the prime factorization of each number. Show your work. a. 60 b. 125 2. What number has the prime factorization 23 X4 X 53? Show how you found the number. 3. Valerie is packing sacks of trail mix for a hike. Every sack has exactly the same stuff in it. Valerie has 54 cups of granola bars and 45 cups of M&Ms. There are no leftover cups! a. What is the greatest number of treat sacks Valerie can make? Show your work. b. How many of each kind of treat is in one sack? Show your reasoning. Unit Test Review (continued) 4. “Ben” and “Ron” are the local names for two lighthouses that guard a particularly dangerous part of the coast. Ben blinks every 15 seconds, and Ron blinks every 6 seconds. They blink together at midnight. How many seconds will pass before they blink together again? 5. The owners of an amusement park want to add more rides and an arcade in an open field. Below is a sketch of their plan. The owners do not know all of the measurements of the field. 15 yds 20 yds Write two expressions for the area of the whole field. (sum of two products expanded form and the other product of two terms factored form) Unit Test Review(continued) 6. a. What is the greatest common factor of 18 and 27? Use any method, but show your work. b. What is the least common multiple of 18 and 27? Use any method, but show your work. c. Find another common multiple of 18 and 27. Use any method, but show your work. 7. Find the value of the expression 45 – 72 ÷ 7 + 8(4). 8. Is each expression equivalent to 6 × 53? Justify your reasoning. a. 6 x 50 + 6 x 3 b. 12 x 53 – 6 x 53 c. 6(50 + 3) d. 6 x 50 + 3 Unit Test Review (continued) 9. Find the value of the expression 30 – 32 ÷ 3 + 8(2). A. 24 B. 37 10. Find the prime factorization of 160. A. 2 x 2 x 2 x 4 x 5 B. 2 x 2 x 2 x 10 C. 24 x 5 D. 25 x 5 C. 43 D. 23 Name Date Class Comparing Bits and Pieces Unit 2 Review 1. Write each of the following ratios as a fraction, decimal, and percent. Ratio a. 30 days out of 100 days b. 20 correct out of 25 problems c. 3 out of 4 games won d. 21 out of 40 mountain bikes Fraction Decimal Percent 2. The ratio of males to total students in a mathematics class is 12 to 30. a. What fraction of the class is male? What percent is male? b. What fraction of the class is female? What percent is female? 3. For parts (a)-(c), circle the fraction, decimal, or percent that is not equivalent to the others. Explain why it is not equivalent. a. 0.60 b. 1 0.6 6% 25% 0.25 1.8 108% 25 c. 9 5 1 3Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Name Date Class Comparing Bits and Pieces Unit 2 Review (continued) 4. This drawing shows part of a centimeter ruler. The drawing has been enlarged. The small marks indicate millimeters. The large marks indicate centimeters. a. What fraction of a centimeter is each millimeter? b. Draw a mark on the ruler at 3.2 cm. c. How many millimeters is 3.2 cm? d. According to the ruler, how long is the paper clip? 2 3Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Name Date Class Comparing Bits and Pieces Unit 2 review (continued) 5. Arrange these decimals from least to greatest. 6.00 0.56 0.060 0.6 0.056 6. Arrange these decimals from least to greatest. –6.00 –0.56 –0.060 –0.6 –0.056 7. Decide whether each pair of fractions is equivalent or not equivalent. Explain your reasoning. a. 3 10 4 12 b. 5 10 4 8 c. 10 8 1 1 4 3 3Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Name Date Class Comparing Bits and Pieces Unit 2 review (continued) 8. Blake was listening to his favorite radio station. He noticed that during one hour, 15 songs were played and 3 of them were by a group from Michigan. a. What is the ratio of songs by the group from Michigan to the number of songs played? b. Write this as a unit rate. c. Suppose the station continues to play this ratio of songs. How many times will Blake hear songs by this same group in the next three hours? 9. a. How many thirds are in 3 2 ? 3 b. How many fifths are in 1.8? 10. Write each fraction as a decimal. a. 2 7 b. 100 7 c. 8 21 30 11. Write each decimal as a fraction. a. –0.8 c. –2.505 b. 0.04 4 3Copyright © Name Date Class Comparing Bits and Pieces Unit 2 Review (day 2) 1. Does this represent a rate? Why or why not? 1 3Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Name Date Class Comparing Bits and Pieces 2. How many fourths are in 3 3/4? 3. How many fifths are in 4.2? 4. Use the number line to order the fractions least to greatest. -2/5, 1 1/5, -3/5, 2/5, 5/5, -0.80 5. Choose all the fraction pairs that are equivalent. a. 2/5 and 5/25 b. -6/5 and -1 2/10 c. -1/5 and -2/10 d. 7/3 and 1 4/3 6. Lexi drives her Lexus 60 miles per hour. How far will she go in one hour and 45 minutes? Rate (MPH) Time 60 1 0.5 0.25 1.25 Review Quiz (Fractions, Surface Area, and Volume) Solve all the problems and show all your work. No calculators allowed. Name: ______________________ Date: ______________________ Period: _____________________ 1. If Mr. Gillingham has 20 1/4 feet of rope and each student needs 1 ¾ feet of rope for a project in Survival Skills. How many students will Mr. Gillingham have rope for? 2. 2/3 X 1 3/4 = 3. 5/6 ÷ 1/5 = 4. Arrange the numbers from least to greatest: -3, 0.5, -6, 0, 3, 2.5 5. At Maywood there are 1,200 students, if 70% are wearing Seahawks gear, what is the total number of students wearing Seahawks gear? 6. Mr. Ciraulo is performing circus acts. He tosses a fire stick into the air every 5 seconds and juggles his rocks every 2 seconds. How many seconds will pass before he has to toss both items in the air at the same time? 7. Find the volume of the rectangular prism. 8. Find the surface area of the rectangular prism. 9. Define absolute value 10. a. b. c. d. e. Choose all the expressions that are equivalent to 10 X 25 5(2+5) 5X2+5X5 10(20+5) 5+5X25 20X25-10-25 11. Write three facts about opposite numbers. 12. Mrs. Buck grades one test in 4 minutes. How long will it take her to grade 120 tests? 13. Mr. Coyne grades 90 tests in 450 minutes. What is his unit rate per test? 14. Mrs. Grow is packing snacks for her class she has 25 apples and 35 strawberries. She wants an equal amount of each fruit for every bag she packs. What is the greatest number of bags she can pack?