SOLVING ONE AND TWO STEP EQUATIONS

WARM – UP!!

As you walk in, pick up your calculator!!We will discuss your tests as your warm-up today, so wait for Ms. Rhoads to give your tests back!!

When “solving” an equation for a variable, we are trying to ‘isolate’ that variable – get it by itself

OPPOSITE OPERATIONS

Addition _________________________

Subtraction _______________________Multiplication _____________________Division __________________________

EXAMPLE 1: 9X – 7 = 7

Questions to consider:

• What are we doing to x?

• The second thing?

• How do you undo these steps?

EXAMPLE 2: -9X + 1 = -80

Questions to consider:

• What are we doing to x?

• The second thing?

• How do you undo these steps?

EXAMPLE 3:

Questions to consider:

• What are we doing to x?

• The second thing?

• How do you undo these steps?

EXAMPLE 4:

Questions to consider:

• What are we doing to x?

• The second thing?

• How do you undo these steps?

EXAMPLE 5:

Questions to consider:

• What are we doing to x?

• The second thing?

• How do you undo these steps?

You Try!

1. 5m + 16 = 51 2.

3. -1 = 4.

PRACTICE

Begin your practice problems in your guided notes booklet! Be sure and ask if you have any questions!

WARM UP!! *Get your calculator as you are walking in!*

Solve the following one and two step equations:

1. - 8p = 64

2. 18 + 3c = 27

3. 15 + m = 17

4. - 19 = 6z - 5

MULTISTEP EQUATIONS• Our goal for multistep equations is the same as one and two step : we are trying to isolate the

variable.

• What is different about multistep?

• More than one “x” Case 1: Two “x”s on the same side

A. Combine like terms B. Solve like a one/two step equation

Example 1: -20 = -4x – 6x

MULTISTEP EQUATIONS• Case 2: “x”s on both sides

A. Move one of your variables to the other side. REMEMBER: use opposite operations Helpful Hint: typically it is easier to move smaller “x”.

Example 2: 8x – 2 = -9 + 7x

EXAMPLE 3: 5 + 2(Y+4) = 5(Y-3) + 10

• You will NOT always get a number for an answer. Other than a real number, there are two possible solutions you could have:

1. All Real Numbers

2. No Solution

Example 4: 6(4+y) = 5(y-3) +10Example 5: 3(a+1) -5=3a - 2

TRY THESE!!

1. 6x-3 = 2x +13 3. 3n +1 + 4n = 7n – 5 +6

2. 9x + 7 = 3x – 5 4. 8 – 2(y+1) = -3y + 1