Name________________________________________________________________
Algebra Assessment : Rates, Ratios, Proportions, Percents - PRACTICE
1. Find the unit rate if 180 flyers are distributed in 12 minutes.
15 flyers / min.
2.
The local school sponsored a mini-marathon and supplied 75 gallons of water per hour for the
runners. What is the amount of water in quarts per minute?
5 qts. / min.
3. The ratio of boys to girls who are members of the local soccer league is 5:3. If there are 225
boys in the league, how many players are there altogether?
360 players
4.
Solve the proportion :
x = -4
5. In a sample of 50 randomly selected students at a school 38 eat breakfast every morning. Based
on this information, how many students would you expect to eat breakfast in a group of 650?
494 students
6.
A student built a scale model of Storybook Land. On the model, the entrance gate is 20 inches
tall and 4.5 inches wide. If the actual gate is 22 feet tall, what is its width?
4.95 ft.
7.
On a sunny day, a 1.5-foot tomato plant casts a shadow that is 2.25 feet long. The shadow of a
nearby pepper plant is 1.8 feet long. What is the height of the pepper plant?
1.2 ft.
8.
Find the value of MN if AB = 21 cm. BC = 16.8 cm, and LM = 28 cm. and ABCD is similar to
LMNO.
MN = 22.4 cm
9.
Every dimension of a triangle is doubled (multiplied by a scale factor of 2) to form a similar
triangle. The original triangle had a perimeter of 18 inches and an area of 12 inches2. What are
the perimeter and area of the enlarged triangle?
P = 36 in.
A= 48 in2
10. A car salesperson earns a 2.75% commission on sales. If the salesperson earned $3,300, what
was the value of the cars that were sold?
$120,000
11. Find the simple interest earned after 5 years on $1200 invested at 2% annual interest rate.
$120
12. The lunch check is $16.98. Add a 15% tip and 7% sales tax (both computed using $16.98) to find
the total cost of lunch.
$20.72
13. What is 63% of 82? Set-up and solve an equation to find this answer.
x = (.63)(82)
x = 51.66
14. 113 is what percent of 227? Set-up and solve a proportion to find this answer.
15. Tom paid $23.75 at a restaurant. This amount includes an additional 25% that was added on for
the tax and tip combined. What was the bill for his meal before tax and tip were added?
$19
23.75 = 1.25x
16. The original price of the bike was $150, but the store decided to give 10% off for the summer.
What is the price you will pay? (Don’t forget to add the 7% tax!)
$144.45
17. A store uses a mark-up rate of 75% to calculate the retail price of everything it sells. What
would they charge for a DVD player that has a wholesale price of $78?
$136.50
18. Write 0.005% as a decimal and as a simplified fraction.
0.00005
19. The population of Smallville increased 5% in the last year. If the population was 15,000 a year
ago, what is it now?
15,750 people
20. A number decreased 45% is 88. Find the number.
160
88 = 0.55x