7Preap Week 35 CCA REVIEW

Class:

7th Grade PreaP Week 35 CCA REVIEW 1. Mini read a book at a constant rate. The graph of her progress is shown. Which statement is true?

a The slope of the line is different from the unit rate . of page per minute. b The slope of the line is different from the unit rate . of page per minute. c The slope of the line is the same as the unit rate of . page per minute.

2. Jen jogged at a constant pace. After hours, she had jogged 10 miles. If you were to graph the line of this proportional relationship between distance jogged and time, which of the following pairs of coordinates represent points on the line? a (1, 4) and (2, 10) .

b . and (1, 5) c (1, 4) and (2, 8) .

3. The graph represents the cost to rent a front loader for different numbers of hours. What is the hourly rental rate, in dollars per hour? amount Marcy charges C per bracelet b? a C 0.5b 23 .

b C 1.5b 20 .

c C 3b 20 4. Determine the slope and y-intercept of the line. .

d C 20b 0.5 .

8. The amount of money raised by a team for a trip varies directly with the number of people who have donated. The 5. The graph shows the depth of water in a fountain over amount of money donated by 4 people was $80. How much several days. What is the slope and what does it represent? money would the team raise if 50 people contributed to the trip?

a 3; The amount of water in the fountain decreases 9. Which table does NOT show a proportional relationship? . 3 cm each day. a . b 1; The amount of water in the fountain decreases . 1 cm each day. b . c 1; The amount of water in the fountain increases 1 . cm each day.

10. Which relationship is an example of a proportional function?

6. The slope of a line is . One point on the line is a a rental company charges $80 per day and a one- . ( 2, 9). What is another point on the line? time fee of $24

( 4, 10) b (1, 6) b . . a taxi ride costs $2 for the first mile and $4 for

(2, 9) d (4, 8) each additional mile . c Beverly earns $150 a week for 10 weeks .

11. An online sports ticket-selling company charges a 7. It costs Marcy $0.50 to produce each bracelet she makes. service charge of $4 to buy tickets. Each ticket costs $55 for When selling them she charges $20 plus three times the a basketball game. Write an equation that represents the cost production cost per bracelet. Which equation shows the of buying tickets through the company.

12. What is the slope of the equation of a line that crosses the y-axis at the origin, and for every vertical increase of three units, it increases horizontally by four units?

Lucas wants to take out a loan for $12,000.00 for a car.

13. Parallel lines have the same slope. What is the slope of a line parallel to 4y 16x 8?

14. It costs Serine $30 to start a lemonade stand plus $0.50 per cup of lemonade. She sells cups of the lemonade for $1.25 per cup. How many cups of lemonade will Serine need to sell in order to break even? 19. Lucas found another car dealership that offered a $12,000.00 loan with an interest rate of 2.75% per year for 60 months. The monthly payment is $214.29. How much 15. Which situation is represented by the inequality would Lucas pay using this interest rate? 25x 500 50x 250? a Corey earns $25 for each insurance policy he sells . plus $500 each week. Maria earns $50 for each policy she sells plus $250 each week. How many policies will each employee need to sell so that Maria earns the same or more than Corey? b Corey earns $25 for each insurance policy he sells . plus $500 each week. Maria earns $50 for each policy she sells plus $250 each week. How many policies will each employee need to sell so that Maria earns the same or less than Corey? 20. Isaiah is comparing how loan length affects the cost of credit on a $9,000 loan. From the table, he sees that as the loan length increases, the monthly 16. The sum of one-half of a number and 6 is one-third of payment decreases. At the end of one year, how much more the number. What is the number? would Isaiah repay on the 24-month loan than he would repay on the 36-month loan?

17. Mary is thinking of three consecutive even integers, x, y, and z. Three times the value of z exceeds half the value of x by 37. What is the value of z?

3:10 P.M. b 3:30 P.M. .

5:10 P.M. d 5:30 P.M. .

18. Mr. Smith has two leaks in his ceiling. He put buckets under the leaks to catch the water. The table shows the amount of water in each bucket. If the water continues to leak at the same rate, at what time will the buckets have the same amount of water?

Answer Key

1. c 11. y 55x 4 2. c 12. 0.75 3. 40 13. 4

14. 40 4. m ; y-intercept 1 15. b 5. a 16. 36 6. a 17. 14 7. b 18. c 8. $1,000 19. $12,857.40 9. b 20. $1,499.40 10. c