Two-Step Equations with Integers

Help Questions

Pre-Algebra › Two-Step Equations with Integers

Questions 1 - 10
1

Solve for :

Explanation

The goal is to isolate the variable to one side.

Subtract from each side of the equation:

Divide each side by :

2

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.

3

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:

4

Solve for x:

Explanation

In order to find x, you need to isolate it. If x isn't alone, you haven't finished solving the problem!

Step 1: subtract 14 from both sides of the equation

Step 2: divide both sides of the equation by 2

5

Solve for :

Explanation

Subtract from both sides of the equation:

The equation should now look like this:

Then, divide both sides by 2:

Your result should be:

6

Explanation

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the 63 to the other side of the equation, you must do the opposite operation (subtraction). Keep in mind you must do the same step on each side of the equation every time you change something.

Your equation should now look like this:

Next, isolate your variable by moving the 6 to the other side of the equation using division:

Your result should look like this:

7

Explanation

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the 40 to the other side of the equation, you must do the opposite operation (subtraction). Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should now look like this:

Then, divide by 6:

The result should be the following:

8

Explanation

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the -3 to the other side of the equation, you must do the opposite operation (addition). Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should now look like this:

Next, isolate the variable by moving it to the other side of the equation. Do this by doing the opposite operation (division):

The result should be the following:

9

Explanation

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the -2 to the other side of the equation, you must do the opposite operation (addition). Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should now look like this:

Then, isolate the variable by moving the 7 to the other side of the equation. Do this by doing the opposite operation (division).

The result should be the following:

10

Explanation

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the -38 to the other side of the equation, you must do the opposite operation (addition). Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should now look like this:

Then, isolate the variable by moving the 15 to the other side of the equation. Do this by doing the opposite operation (division).

The result should be as follows:

Page 1 of 7
Return to subject