Algebra Quadratic Applications Practice Test

Review the following concepts if needed:

• Quadratic Applications Help
• Revenue Help
• Work Problems with Quadratic Equations Help
• The Height of a Falling Object Help
• Word Problems Involving Geometric Shapes Help
• Quadratic Equations in Distance Problems Help

Algebra Quadratic Applications Practice Test

1 . Two hoses working together can fill a pool in four hours. One hose working alone can fill the pool in 6 hours less than the other hose. How long would it take the slower hose, working alone, to fill the pool?

(a) 10 hours

(b) 12 hours

(c) 14 hours

(d) 16 hours

2 . Two walkers left an intersection at the same time. One walked northward at an average speed of 3 mph. The other walked westward at an average speed of 4 mph. After how long will they be one mile apart?

(a) About 23 minutes

(b) About 38 minutes

(c) 20 minutes

(d) 12 minutes

3 . The area of a circle is 48 cm ² . The radius (rounded to one decimal place) is

(a) 15.3 cm

(b) 3.9 cm

(c) 6.9 cm

(d) 7.6 cm

4 . The sum of two positive integers is 35 and their product is 304. What is the smaller number?

(a) 16

(b) 18

(c) 19

(d) 17

5 . An object is dropped from a height of 116 feet. It will hit the ground after about

(a) 10.8 seconds

(b) 7.25 seconds

(c) 2.7 seconds

(d) 9 cannot be determined

6 . The volume of a rectangular box is 192 cubic inches and the height is four inches. The box’s width is three-fourths the box’s length. What is the length of the box?

(a) 8 inches

(b) 6 inches

(c) 4.5 inches

(d) 9 inches

7 . A salesman drove 200 miles to visit a client then returned home. He averaged 10 mph faster on his trip to the client than on his way home. The total trip took 7 hours 20 minutes. How long did he spend driving on his way home?

(a) 3 hours 20 minutes

(b) 4 hours

(c) 5 hours

(d) cannot be determined

8 . A cotton candy vendor sells an average of 100 cones per day when the price of each cone is $1.50. The vendor believes that for each 10-cent drop in the price, she will sell 10 more cones. What should the price of the cones be if she wants a revenue of $156?

(a) $1.30

(b) Leave at $1.50

(c) $1.70

(d) $1.40

9 . The diagonal of a rectangle is 29 inches. The length is one inch longer than the width. What is the width of the rectangle?

(a) 18 inches

(b) 19 inches

(c) 20 inches

(d) 21 inches

10 . An object is tossed up (from the ground) at the rate of 24 feet per second. After how long will the object be eight feet high?

(a) 0.75 seconds

(b) 0.5 seconds

(c) 1 second

(d) 0.5 seconds and 1 second

11 . A small motorboat traveled downstream for 10 miles then turned around and traveled back upstream for 10 miles. The total trip took 3.5 hours. If the stream’s rate is 3 mph, how fast would the motorboat have traveled in still water?

(a) 4 mph

(b) 10 mph

(c) 7 mph

(d) 6 mph

Solutions