#### Transcript of Steps for Solving

**a Multi-step Equation**

Mr. Stremple

1. Distribute

**Steps for Solving**

3. Isolate the variable term by addition or subtraction

4. Isolate the variable by multiplication or division

2. Combine Like Terms

**4(2x+3)-3=97**

1. Distribute

4 ( 2x + 3 ) - 3 = 97

4(2x) + 4(3) - 3 = 97

8x + 12 - 3 = 97

2. Combine Like Terms

4 ( 2x + 3 ) - 3 = 97

4(2x) + 4(3) - 3 = 97

8x + 12 - 3 = 97

8x + 9 = 97

3. Isolate the variable term by addition or subtraction

4 ( 2x + 3 ) - 3 = 97

4(2x) + 4(3) - 3 = 97

8x + 12 - 3 = 97

8x + 9 = 97

-9 -9

8x = 88

4. Isolate the variable by multiplication or division

4 ( 2x + 3 ) - 3 = 97

4(2x) + 4(3) - 3 = 97

8x + 12 - 3 = 97

8x + 9 = 97

-9 -9

8x = 88

--- ----

8 8

x = 11

Distributing

You distribute when there is a number or variable outside of a parenthesis that has operations inside. You need to multiply the number outside by EVERYTHING inside.

EX: 7 (4x - 6)

7(4x) - 7(6)

28x - 42

Like Terms

Like terms are any term (part of an expression or equation) that are similar.

EX: 2x + 4 - 12

4 and -12 are like terms

EX: 3x - 5x + y

3x and -5x are like terms

Isolate the variable term

In this step we use the opposite operation to get our variable term alone on side of the equation.

EX: If the equation says you are adding, subtract to get rid of it.

4x + 8 = 17

-8 -8

Isolate the variable

In this step we are using the opposite operation to get the variable by itself and finally solve the equation.

EX: x/4 = 22

*4 *4

x = 88

Check

After getting an answer, always check it by substituting into the original equation.

4 ( 2x + 3 ) - 3 = 97

4 [2(11) + 3] - 3 = 97

4 [22 + 3] - 3 = 97

4[25] - 3 = 97

100 - 3 = 97

97 = 97

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