Math Journal 9-291. 2.

3. 4. 5.

Unit 3 Day 2: Solving Multi-Step Equations

Essential Question: How do I solve equations that

require more than two steps?

Vocabulary

Like Terms: terms whose variables and exponents are the same.

Distributive Property:

Solving Multi-Step EquationsSimplify:1) Apply the distributive property, if necessary.

2) Combine like terms on each side of the equal sign.

Solve:3) Solve using the steps from Day 1.

Check:4) Plug in the solution to see if it satisfies the equation!

Example 1: Solve the equations.

+ 3 + 3

· 5 5 ·

3x = -303

x = -10

To get rid of a fraction:

1) Multiply by the denominator2) Divide by the numerator

OR

Multiply by the reciprocal

a) x – 3 = -9

x = -6

3

35

b) x = -6

Example 2: Solve the equations.

a) 7x – 3x – 8 = 24 b) 4x – 8 + x = 24x – 8 = 24

+ 8 + 84x = 324x = 8

5x – 8 = 2+ 8+ 8

5x = 105

x = 24 5

Example 3: Solve the equations.

a) 2x – 9x + 17 = -4 b) 4x – 9 + 3x = 5-7x + 17 = -4

- 17 - 17-7x = -21-7

x = 3

7x – 9 = 5+ 9+ 9

7x = 147

x = 2-7 7

Example 4: Solve the equations.

a) 5x + 3(x + 4) = 28 b) 4x – 3(x – 2) = 21

- 12 - 128x = 168x = 2

x + 6 = 21- 6- 6

x = 158

5x + 3x + 12 = 288x + 12 = 28

4x – 3x + 6 = 21

Example 5: Solve the equations.

a) 4x + 12(x – 3) = 28 b) 2x – 5(x – 9) = 27

+ 36 + 36

16x = 6416

x = 4

-3x + 45 = 27- 45

x = 6

16

4x + 12x – 36 = 2816x – 36 = 28

2x – 5x + 45 = 27

- 45-3x = -18

-3 -3

Summary

Essential Question: How do I solve equations that require more than two steps?

Take 1 minute to write 2 sentences answering the essential question.