Two-Step Equations

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Pre-Algebra › Two-Step Equations

Questions 1 - 10
1

Solve for :

Explanation

The goal is to isolate the variable on one side.

Subtract from each side of the equation:

Multiply both sides by :

2

Solve for :

Explanation

The goal is to isolate the variable on one side.

Subtract from each side of the equation:

Multiply both sides by :

3

Solve for :

Explanation

The goal is to isolate the variable to one side.

Subtract from each side of the equation:

Divide each side by :

4

Solve for :

Explanation

The goal is to isolate the variable to one side.

Subtract from each side of the equation:

Divide each side by :

5

Solve for x:

Explanation

Step 1: subtract 4 from both sides

Step 2: divide both sides by -5 to isolate x

Solve:

Remember, a negative integer divided by another negative integer will have a positive answer.

6

Solve for x:

Explanation

Step 1: subtract 4 from both sides

Step 2: divide both sides by -5 to isolate x

Solve:

Remember, a negative integer divided by another negative integer will have a positive answer.

7

Solve for :

Explanation

The goal is to isolate the variable to one side.

First, convert mixed numbers to improper fractions:

Subtract from both sides:

Multiply each side by the reciprocal of :

Cross out like terms and multiply:

8

Explanation

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. Add 5 to each side of the equation. Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should look like this:

Then, isolate the variable by moving the 2 to the other side of the equation. Do this by dividing:

Your result should be the following:

9

Solve for p:

Explanation

10

Solve for p:

Explanation

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