Chapter 8 & 9 Practice Test 1. Hyrum rides his bike in order to deliver newspapers around his neighborhood every morning. He works at a constant rate shown in the table below. Time Worked (minutes) Number of Newspapers Delivered 3 2 6 4 On Monday, Hyrum worked for 47 minutes but could not finish his route because his bicycle got a flat tire. On Tuesday, Hyrum worked for 38 minutes and had to stop early because the bag carrying his newspapers broke. How many total newspapers did Hyrum deliver on Monday and Tuesday combined? 2. Ava bought 4 boxes of cereal at the grocery store. Each box of cereal costs c dollars. Write an equation that represents the total amount of money, t, Ava spent on cereal. 3. Ryan and Carson are each charged a constant rate for every text they send on their cell phones, shown in the table below: Number of Texts (t) Amount Charged (a) 1 $0.30 2 $0.60 3 $0.90 At the end of the month, Ryan learned that he had sent 150 texts and paid $45 for his bill because a = 0.30 150. Carson learned that he had sent 125 texts and paid $4.16 because a = 125 30. Who paid the correct amount? How do you know? 4. Isaiah had 30 baseball cards in his collection. He receives x number of baseball cards for his birthday. Write an equation that represents the total number of baseball cards, y, Isaiah now has in his collection.
5. Ms. Her has 30 students in her class: 16 boys and 14 girls. She writes the name of each student on a slip of paper and puts each slip into a bag. Before Ms. Her draws a name out of the bag, a student in the class makes the following claim: "Ms. Her will probably draw a boy's name from the bag because the ratio of boy names to girl names is 7:2." The student made an incorrect claim. Which statement correctly describes the mistakes that were made? A. Ms. Her will most likely draw a boy's name and not a girl's name, but the ratio of boy names to girl names should be 7:8. B. Ms. Her will most likely draw a girl's name and not a boy's name, and the ratio of girl names to boy names is 6:4. C. Ms. Her will most likely draw a girl's name and not a boy's name, and the ratio of girl names to boy names is 4:5. D. Ms. Her will most likely draw a boy s name and not a girl s name, but the ratio of boy names to girl names is 8:7 6. 15% of is 40. 7. Nadia is baking cupcakes for her birthday party. The table below shows the total number of sprinkles Nadia uses for the number of cupcakes she bakes. Let c represent the number of cupcakes baked. Let s represent the total amount of sprinkles used. Number of Cupcakes Baked c Determine whether each statement is true. Total Amount of Sprinkles Used s 5 50 10 100 15 150 (T/F) The equation s = 10c represents the relationship between the number of cupcakes baked and the total amount of sprinkles Nadia uses. (T/F)The total amount of sprinkles Nadia uses is 10 times the number of cupcakes baked. (T/F) If Nadia bakes 24 cupcakes, she will have used 460 total sprinkles.
8. Elliot has started a bug collection of only butterflies and crickets. The ratio of total bugs Elliot has collected to butterflies collected is 9:2. Select two statements that are true about Elliot's bug collection. A. The ratio of butterflies collected to crickets collected is 2:9 B. There are more crickets in Elliot s collection than butterflies. C. The ratio of crickets collected to total bugs collected is 7:9. D. There are more butterflies in Elliot s collection than crickets 9. Lily is creating a budget, and she has made a table listing her account balances at some stores. Store Account Balance A $45.91 B $14.14 C $18.08 D $38.08 E $40.45 F $25.97 Lily also owes her parents $34.87. Lily claims that the amount she owes to her parents is lower than any of the account balances at the various stores. Which three account balances prove that Lily s claim is false? 10. Write the greatest common factor of 20 and 35. 11. Which of the following number sentences shows the correct method to find 5% of 48? Select two that apply. A. 0.05 x 48 B. 0.05 x 0.48 C. 5 x 48 D. 5/100 x 48 12. Which of the following pairs of numbers is matched with its correct least common multiple? Select two that apply. A. The least common multiple of 3 and 9 is 9. B. The least common multiple of 2 and 9 is 36 C. The least common multiple of 1 and 8 is 7 D. The least common multiple of 4 and 5 is 20
13. Which of the following values for Y and S make the statement Y = S true? Select three that apply. A. 12-2 = 10 B. -3 + -1 = 4 C. 6 + -3 = 5 D. 2 + -1 = -3 E. 5 - -2 = 3 14. Based on this table of amount of debt, who is in more debt than Julian? Select two that apply. Name Debt Janessa $57.06 Julian $41.03 Grant $34.76 Jazmin $39.37 Patrick $41.85 15. Mason is saving money for a new mountain bike. The amount (t) Mason needs to save is more than $48.05. Which inequality models the amount Mason needs to save? A. t>$48.05 B. $48.05=t C. t<$48.05 D. $48.05>t 16. Solve for f. f + 81.76 = 861.24 17. Graph x>-5.5 on a number line. 18. Write the equation described in this sentence: The product of 11 and j is equal to 56.5. 19. Graph r>7.0 on a number line
20. Victoria went shopping for new clothes with her mom. At the first store, Victoria bought three new shirts. At the next store, Victoria bought s number of shirts. Write an equation that represents the total number of shirts, t, Victoria bought. 21. TJ has observed that the number of tadpoles in the pond in his backyard is increasing at a steady rate each day. Let d represent the number of days TJ observes his pond. Let t represent the total number of tadpoles TJ observes each day. Fill in the table for all missing values of d and t. Number of days d 1 Number of tadpoles t 2 8 16 5 20 6 24 22. Mr. Wong wants his 6 th grade math class to memorize their multiplication facts. He decides to increase the number of facts they are expected to memorize each week and creates the following table. Week Number of Multiplication Facts Memorized (w) (m) 1 12 2 24 3 36 4 48 Using w = number of weeks and m = number of multiplication facts, write an equation that corresponds to the table above.
23. Luis is helping his mom fold the laundry. He folds towels at a constant speed. He made the following table showing how many towels he could fold in a certain number of seconds. Number of Towels Folded t Total Number of Seconds Spent Folding Towels s 2 120 4 240 6 360 Write the number of seconds it will take him to fold 18 towels. 24. Using substitution, in which of the following equations does y = 3? Select two that apply. A. 7y=21 B. 2y+2=9 C. 3y+1=10 D. 8y-1=21 25. What value of y makes this true? 36-y<10 A. 7 B. 10 C. 30 D. 15 26. What value of x makes this true? 31>25+x 27. J=39-2k. If k=3, what is J? 28. The sum of q plus r equals 34. If q = 26, write an equation that can be used to find the value of r? 29. It takes Virginia 4 minutes to ride her skateboard 2 blocks. Using this unit rate, how many minutes will it take Virginia to ride her skateboard 1 block? 30. Solve the expression using distributive property: 2(7x+2)