Solve each equation in your lecture notebook.

Do Now

1) x – 5 = 212) m – ( - 8) = -11

State the property you used in each problem.

Solving Multi-step Equations

Objective

Students will be able to: demonstrate their understanding of inverse operations and distributive property by correctly solving 4 multi-step equations at a basic level of proficiency.

Vocabulary

• Identity- when an equation is true for every value of the variable

• No Solution- when there is no value for the variable that will make the equation true.

Rules for Solving Multi-Step Equations

• Clear the equation of fractions and decimals.

• Use the distributive property to remove the parentheses on each side.

• Combine like terms on each side.• Undo addition or subtraction.• Undo multiplication or division.

Ex. 12(5x – 6) – 3x = 4(x + 12) – 9x

Ex. 2

67

4b

Ex. 3145

3x

Ex. 45x + 10 = 80

Ex. 54x +6x + 20 = 80

Ex. 64 5 7

2 511 11 11

x x

Ex. 7 3 + 3t – 5 = 3t – 2

Ex. 85x + 3 = 8 + 5x

1.) x/5 + 2 = 8

2.) -2(b – 4) = 12b

3.) 3x + 2x + 20 – 8 = 92

4.) 6x + 15 = 125 + 4x

5.) 8b + 16 – 2b = 4b

6.) 3(k + 8) = 21

4 1 33 2

7 7 7x x 7.)

8.) -3x – 4 = -82

9.) 2x – 4 = 8

10.) 6a – 4 = 15 + 6a

11.) 2t + 4 – t = 4 + t

12.) a/8 – 5.2 = 3

Exit Slip

Solve each equation.

Put a box around your final answer

1.) 4n = 2(n +1) + 3(n – 1)

2.) -3/5(c + 20) = 54

3.) -2(a – 3) =6

4.) 3/8u = 3(u – 2)