Equations

Practice Questions

High School Math › Equations

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1

Tom is painting a fence feet long. He starts at the West end of the fence and paints at a rate of feet per hour. After hours, Huck joins Tom and begins painting from the East end of the fence at a rate of feet per hour. After hours of the two boys painting at the same time, Tom leaves Huck to finish the job by himself.

If Huck completes painting the entire fence after Tom leaves, how many more hours will Huck work than Tom?

2

An art show wants to focus on sculpture but will also accept paintings and drawings. The show has room for pieces and will display them in a ratio of scupltures to painting to drawings. How many sculptures will be displayed?

3

Tom is painting a fence feet long. He starts at the West end of the fence and paints at a rate of feet per hour. After hours, Huck joins Tom and begins painting from the East end of the fence at a rate of feet per hour. After hours of the two boys painting at the same time, Tom leaves Huck to finish the job by himself.

If Huck completes painting the entire fence after Tom leaves, how many more hours will Huck work than Tom?

4

Solve the equation for .

5

Solve the system of equations.

6

Solve the equation for .

7

Solve the system of equations.

8

An art show wants to focus on sculpture but will also accept paintings and drawings. The show has room for pieces and will display them in a ratio of scupltures to painting to drawings. How many sculptures will be displayed?

9

Solve:

10

Solve:

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