Setting Up Equations

Practice Questions

Algebra II › Setting Up Equations

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1

Set up the equation: Nine more than three times the cube of a number is four.

2

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?

3

A circular tower stands surrounded by a circular moat. A bridge provides a passage over the moat to the tower. The distance from the outer edge of the moat to the center of the tower is meters. The area of the floor of tower is . How long is the bridge over the moat?

4

Two numbers have a ratio of 5:6 and half of their sum is 22. What are the numbers?

5

Set up the equation: Eight less than four times a number is twenty.

6

Set up the equation: Half of the cube root of twice a number is seven.

7

Set up the following equation: The sum of a number and twice the square of a number is eleven.

8

Set up the equation: Five less than three times a number is eight.

9

Write in slope-intercept form

10

Express as an equation.

more than is

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