ACE 3-11 - 3-20 7th Grade Review Problems

8 mph

3-11 1. A remote control helicopter travels 2/3 of a mile in 1/12 of an hour. What is the speed of the helicopter in miles per hour?

- 5/6

3-11 2. What is the value of x in the equation? (-2/3 + 3/2) + x = 0

-10

3-12 1. Jeff is adding two numbers using a number line. He starts at 7 on the number line and stops counting at -3 on the number line. What number did Jeff add to 7?

13 degrees F

3-12 2. A cold front passed through between 11:00 A.M. and 6:00 P.M. one day. The temperature dropped by an average of 2.5°F per hour during this time period. The temperature at 6:00 P.M. was -4.5°F. What was the temperature, in degrees Fahrenheit, at 11:00 A.M. that morning before the temperature started to drop?

$5

3-13 1. Stephanie had no money, so she borrowed some money from her brother. Then, she earned $12 babysitting, spent $14 on a gift, and earned $9 walking the neighbor's dog. She now has $12. How much money did Stephanie borrow from her brother?

Sheila

3-13 2. Jeremy walks 1/4 of a mile in 1/10 of an hour. His sister Sheila walks 1/3 of a mile in 1/12 of an hour. Who has the faster walking rate in miles per hour? SHOW YOUR WORK!

$30,041.55

3-14 1. Bill began his job with a salary of $25,500 per year. He received a 10% raise at the start of the second year. At the start of the third year, he got an additional 5% raise on his new salary; and at the start of the fourth year, a 2% raise on the third year's salary. What is Bill's salary in the fourth year?

- 1/2

3-14 2. Evaluate (NO CALCULATOR): -3/5 - 5/6 + 1/3 + 3/5

B, C, E

3-15 Select all expressions equivalent to 8x + 5y - 3(6x - y) A. 2y - 10x B. -2(5x - 4y) C. 8x - 18x + 8y D. 8x + 5y - 18x - 3y E. 8x + 5y - 18x + 3y

80% decrease or -80% of change

3-16 1. On Wednesday, 30 students went to after-school tutoring. On Thursday, 6 students went. What is the percent decrease in the numbers of students who went to tutoring?

$150

3-16 2. Haily earned $90 for working 12 hours. How much would she earn for working 20 hours?

about 78% increase

3-17 1. Chuck usually drinks 36 ounces of water per day. He read that he should drink 64 ounces of water per day. If he starts drinking 64 ounces, what is the percent increase? Round to the nearest percent.

40 days

3-17 2. Rodney rented a bicycle while he was on vacation. He paid a flat rental fee of $75, plus $9.50 each day. The total cost was $455. Write an equation and solve to find the number of days he rented the bicycle.

11

3-18 1. What is a number that when you multiply it by 11 and subtract 30 from the product you get 91? WRITE AND EQUATION AND SOLVE.

- $23

3-18 2. Chuck's cell phone company will add -$5.75 to his next bill for each of the 4 months that he was overcharged. How much will be added to his next bill?

1.5 or 1 1/2 cups of almonds

3-19 1. Megan uses 2/3 cup of almonds to make 4 cups of trail mix. Using this same proportion, how many cups of almonds would Megan need to make 9 cups of trail mix?

- 11,520 meters

3-19 2. The low point of the Tonga Trench, in the Pacific Ocean, is -10,630 meters. The low point of the Mariana Trench, also in the Pacific Ocean, is 890 meters lower. What is the depth of the Mariana Trench?

$25

3-20 1. Two years of local Internet service costs $685, including the installation fee of $85. What is the monthly fee?

29%

3-20 2. Matt earned $28,500 last year. He paid $8,265 for rent. What percent of his earnings did Matt pay for rent?