Solve Two-Step Equations

Solving Two-Step Linear Equations

You will be able to solve two-step linear equations with one variable

When solving one- & two-step equations, we use two techniques for getting x by itself.

Making Zero is what we do when numbers are being added and subtracted.

Making One is what we do when numbers are being multiplied and divided.

Multiple Choice

What would you do to get x by itself:

$$\frac{1}{2}x\ +\ 6\ =\ 12$$

• + 6 to both sides

• - 6 to both sides

• x 6 to both sides

• / 6 to both sides

Multiple Choice

What would you do to get x by itself:

x - 13 = -4

• + 13 to both sides

• - 13 to both sides

• x 13 to both sides

• / 13 to both sides

Multiple Choice

What would you do to get x by itself:

6x = 36

• + 6 to both sides

• - 6 to both sides

• x 6 to both sides

• / 6 to both sides

Multiple Choice

What would you do to get x by itself:

$$\frac{x}{3}=27$$

• + 3 to both sides

• - 3 to both sides

• x 3 to both sides

• / 3 to both sides

Fill in the Blanks

In the equation 6 + x = 15, the first thing you would do to get x by itself would be to

6 from both sides.

(add, subtract, multiply or divide)

Fill in the Blanks

In the equation 4x = 24, the first thing you would do to get x by itself would be to

4 from both sides.

(add, subtract, multiply or divide)

Fill in the Blanks

In the equation 9x - 11 = 24, the first thing you would do to get x by itself would be to

11 from both sides.

(add, subtract, multiply or divide)

Fill in the Blanks

In the equation 15x + 27 = 31, the first thing you would do to get x by itself would be to subtract

from both sides.

(15, 27 or 31)

Fill in the Blanks

In the equation 9 + 5x = 2, the first thing you would do to get x by itself would be to subtract

from both sides.

(9, 5 or 2)

Draw

Solve for x:

3x + 10 = 37

Draw

Solve for x:

9x - 28 = 26

Draw

Solve for x:

10x + 5.5 = 25.5

Draw

Solve for x:

2x - 19 = 50

Sometimes we have equations where x is being multiplied by a fraction. In this case, we need to divide by the same fraction.

In this case, after we subtract 7, we have to deal with the fraction. Remember, when we divide by a fraction, we can also multiply by its reciprocal.

Sometimes we have equations where x is being multiplied by a fraction. In this case, we need to divide by the same fraction.

In this case, after we add 2, we have to deal with the fraction. Remember, when we divide by a fraction, we can also multiply by its reciprocal.

Draw

Solve for x:

$$\frac{1}{2}x\ -\ 4\ =\ 22$$

Draw

Solve for x:

$$\frac{3}{7}x\ -\ 2\ =\ 4$$

Draw

Solve for x:

$$\frac{7}{3}x\ +\ 2\ =\ 8$$