Grade 7 Review Packet for Unit 5 Exam

Transcription

1 PS/MS 71 Grade 7 Review Packet Name: Date: Grade 7 Review Packet for Unit 5 Exam Part I - Multiple Choice. Calculators permitted. 1. A cookie jar starts off with 32 cookies in it and each day 2 cookies are eaten. After a certain number of days, there are 14 cookies left in the jar. Which of the following equations represents the day, d, when there are 14 cookies in the jar? a. 32 2d = 14 b d = 14 c. d d = d = Use the equation from question #1 to find out how many days it takes for there to be 14 cookies left in the cookie jar. SHOW YOUR WORK. 3. Rebecca spends time making holiday cards out of construction paper. The table shown below shows the relationship between the numbers of cards she makes and the time spent making the cards. Time to make cards (x) Number of cards made (y) Is the number of cards made proportional to the hours spent making cards? A. Yes, because the constant of proportionality is 3 2 B. Yes, because the ratio of x to y is always 3:2 C. No, because zero is not represented in the table. D. No, because there is no constant of proportionality 1

2 4. Orlando scored 10 points at the first soccer game. In the 2nd game he scored 30% more points than in the first game. Which expression can be used to represent the total amount of points scored in the 2 nd game? a b. (0.3)10 c. 0.7(10) d. 10(1.3) 5. Using the scenario from question #4, write an expression that can be used to represent the total amount of points scored in BOTH games. 6. Taylor made $84 babysitting his friends children. He needs at least $249 for a new pair of sneakers. Which inequality can be used to determine how much more money m Taylor needs? a. 84 m 249 b. m 84 < 249 c m > 249 d. m 84 > Write an equation to represent each scenario. You MUST use the variables provided: a) Nathan earned x dollars taking out the garbage. He also earned $15 vacuuming the house. Nathan earned a total of y dollars. b) Patricia bought x items at the beach. Each item costs $4. Patricia spent a total of y dollars. c) Xavier bought x video games at Game Stop. Each game was worth y dollars. He spent a total of $60 at Game Stop. d) Demetrius earned $10 cleaning his room. He also earned y dollars for cleaning his father s car. Demetrius earned a total of x dollars for doing both. 2

3 9. Name two numbers on the number line that sum to zero. (hint: there are several correct answers) 10. What is the difference between 5 8 and 1 3 in decimal form? a) 2.9 b) c) d) Which option shows the best solution for: 8x a) b) c) d) 12. You bought lunch for your mom on Mother s Day. The bill before tax was $ You would like to leave a tip for the waitress of 18% on the pre-tax amount. How much will the bill be including tip (before tax)? 3

4 13. Using the answer from question #12, how much will the TOTAL bill be, after tip & tax if the sales tax rate is 9% (sales tax is calculated on the pre-tax amount)? 14. The distance on a map from your front door to school is 12 inches. If the scale of the map reads 2 inches = 18¾ feet, what is the ACTUAL distance to your school? 15. The following sale is happening at the Apple Store: Total Purchases Discount Less than $500 15% $500 - $750 20% Over $750 25% You decide to buy new headset for $50 and the iphone 8 for $725. What is your total after the discount? 16. Electra was baking a cake. The recipe calls for 3 cup of flour for each 1 cup of sugar If Electra uses 4 cups of flour, how much sugar will she need? 4

5 gallons 17. Elizabeth created 10 gallons of glittery slime in 22 hours. Which of the graphs shown below models the same constant of proportionality? a) A b) B c) C d) D e) E hours 18. Which expression is equivalent to: 3(2.8 + x) 5y a) 8.4x 5y b) -5y x c) x 5y d) x 5y 19. Which equation will always be true? a) x y = x + y b) (-x) + y = y x c) (-y) - x = x + y d) x y= y x 20. Vincent s electric bicycle uses 0.6 gallons of gasoline to travel 1 mile. How far can he travel on 15 gallons of gasoline? 5

6 Short Response Questions: 21. Levi goes to a school where there are 200 students. 30% of the students live in Country Club; 3 of the students live in Throggs Neck; 25 students live in Westchester 8 Square and the remainder live in Pelham Bay. How many students live in Pelham Bay? Short Response Questions: (continued) 22. A recipe calls for c cups of flour. The equation 3 c + 10 = 22 can be used to find the 4 total number of cups of flour needed for the recipe. How many cups, c, will be needed for the recipe? 23. Mr. Music charges his piano students $25 per lesson plus a one-time $50 recital fee. How many lessons can students take if they can spend no more than $175 to pay for their lessons? a) Write an inequality to represent this question. b) Solve the inequality to determine the number of lessons a student can take. 6