Multi-step Equations

Multi-step Equations

5x + 9 - x = 13

Multiple Choice

In the equation, 5x + 9 - x = 13, what are your variable terms?

• 9 and 13

• 5x and - x

• 5x and x

• 13 and -9

Multiple Choice

In the equation, 5x + 9 - x = 13, what are your constants?

• 5x and - x

• 9

• 13

• 9 and 13

Remember, variable terms go on the left and constants go on the right.

In the equation, 5x + 9 - x = 13, all of your variable terms are on the left already.

We NEED to move the constants.

Multiple Choice

Once we have the variable terms and constants on the right, what will the equation 5x + 9 - x = 13 look like?

• 5x + x = 13 + 9

• 5x - x = 13 + 9

• 5x = 13 - 9 + x

• 5x - x = 13 - 9

Your equation should look like...

• 5x + 9 - x = 13

• 5x - x = 13 - 9

Once we everything is on it's correct side, combine like terms.

Combine the variable terms on the left.

Combine the constants on the right.

Multiple Choice

Combine the like terms.

5x - x = 13 - 9 becomes....

• 4x = 4

• 6x = 22

• 6x = 4

• 4x = 22

• 5x + 9 - x = 13

• 5x - x = 13 - 9

• 4x = 4

Multiple Choice

The last step is to isolate the variable.

4x = 4

What is the value of x?

• x = 4

• x = - 4

• x = 1

• x = 16

Your equation should look like...

• 5x + 9 - x = 13

• 5x - x = 13 - 9

• 4x = 4

• x = 1

As we said yesterday, solving a multi-step equation, is exactly like solving a 2 step equation. 5x + 9 - x = 13

• Variable terms on the left. Constants on the right. 5x - x = 13 - 9

• Combine like terms. 4x = 4

• Isolate the variable. x = 1

5 (y - 1) = 40

• 5y - 5 = 40

• 5y = 40 + 5

• 5y = 45

• y = 9