Integrated Math
Chapter 4 Review
Applications of Algebra
1. What is 30% of 150?
[A] 40
[B] 90
[C] 120
[D] 45
[C] 30%
[D] 143%
[C] 165
[D] 45
2. 63 is what percent of 90?
[A] 70%
[B] 63%
3. 135 is 30% of what number?
[A] 105
[B] 450
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4. Louis drives for 5 2 hours at an average rate of 65 miles per hour. How many miles does he drive?
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2
[A] 357 mi
[B] 325 mi
[C] 455 mi
[D] 330 mi
5. Peanuts cost $2.50 per pound and walnuts cost $5.00 per pound. If you mix 4 pounds of peanuts with 4
pounds of walnuts, what is the cost of one pound of the mixture?
[A] $7.50
[B] $30.00
[C] $3.75
[D] $15.00
6. Peanuts cost $2 per pound and cashews cost $4 per pound. A 50 pound mixture costs $164. How many
pounds of each kind of nut are in the mixture?
[A] 12 pounds of peanuts and 24 pounds of cashews
[B] 18 pounds of peanuts and 32 pounds of cashews
[C] 32 pounds of peanuts and 18 pounds of cashews
[D] 38 pounds of peanuts and 12 pounds of cashews
7. The sum of three consecutive integers is 114. What are the integers?
8. The sum of two consecutive odd integers is 36. What are the integers?
9. There are 40 oak trees in the park. If 10% of the trees in the park are oak trees, how many trees are in the
park?
10. Jason wants to buy a mountain bike that costs $350. He has already saved $105. What percent of the total
cost has he saved?
11. A town has a population of 4,800. If 25% of the population is senior citizens, how many people are senior
citizens?
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12. Bette drives at 60 miles per hour for 22 hours and at 75 miles per hour for 12 hours. What is her average
rate of speed?
13. Kim has $4.75 in nickels and dimes. If she has twice as many dimes as nickels, how many of each coin does
she have?
14. Find the interest earned on a deposit of $800 at 5.5% annual interest rate for 3 years. (Hint: Use the
formula I = prt)
15. Chen has $2.10 in nickels, dimes, and quarters. He has three times as many quarters as dimes and four
times as many nickels as dimes. How many of each coin does Chen have?
16. Miwa borrows $1,250 for 1 year. At the end of the year, she pays $112.50 in interest. Find the rate of
interest she was charged. (Hint: Use the formula I=prt)
Find the missing term in each proportion.
17.
𝑥
21
=
5
35
18.
12
15
=
𝑥
20
Solve using a proportion.
19. A bicyclist completes a 120-mile race in 4 hours 30 minutes. What is the average speed, in miles per hour,
of the bicyclist?
20. If 8 feet of fencing costs $12.40, how much does 36 feet of fencing cost?