Direct Variation: Identify & Write Equations Quiz for 8th Grade

1. A car travels at a constant speed. If it travels 60 miles in 1 hour, how far will it travel in 3 hours? Write the equation for this direct variation.

• 120 miles

• 90 miles

• 180 miles

• 240 miles

2. The cost of apples varies directly with the weight. If 2 pounds of apples cost $4, how much will 5 pounds cost? Identify the direct variation and write the equation.

• $12

• $6

• $8

• $10

3. A recipe requires 3 cups of flour for 12 cookies. How many cups of flour are needed for 30 cookies? Write the equation for this direct variation problem.

• 7.5 cups

• 2.5 cups

• 5 cups

• 10 cups

4. The number of hours worked is directly proportional to the amount of money earned. If a person earns $120 for 10 hours of work, how much will they earn for 25 hours? Identify the direct variation and write the equation.

• $300

• $180

• $240

• $150

5. A gardener plants 4 seeds and grows 12 flowers. If he plants 10 seeds, how many flowers can he expect to grow? Write the equation for this direct variation.

• 40

• 24

• 15

• 30

6. The distance a cyclist travels is directly proportional to the time spent cycling. If a cyclist travels 15 miles in 1 hour, how far will they travel in 4 hours? Identify the direct variation and write the equation.

• 45 miles

• 60 miles

• 75 miles

• 30 miles

7. The amount of paint needed to cover a wall varies directly with the area of the wall. If 1 gallon covers 350 square feet, how much paint is needed for a wall that is 700 square feet? Write the equation for this direct variation.

• 2 gallons

• 3 gallons

• 1 gallon

• 4 gallons

8. A factory produces 200 toys in 5 hours. How many toys will it produce in 15 hours? Identify the direct variation and write the equation.

• 400 toys

• 800 toys

• 1000 toys

• 600 toys

9. The number of pages printed is directly proportional to the time spent printing. If 100 pages are printed in 2 minutes, how many pages can be printed in 5 minutes? Write the equation for this direct variation.

• 200 pages

• 150 pages

• 300 pages

• 250 pages

10. A photographer charges $50 for 2 hours of work. How much will he charge for 5 hours? Identify the direct variation and write the equation.

• $100

• $200

• $125

• $150