Solve each equation in your lecture notebook. Do Now 1)x – 5 = 21 2)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.

Preparation for Standard 5.0 Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.

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. 1 2(5x – 6) – 3x = 4(x + 12) – 9x

Ex. 2

Ex. 3

Ex. 4 5x + 10 = 80

Ex. 5 4x +6x + 20 = 80

Ex. 6

Ex t – 5 = 3t – 2

Ex. 8 5x + 3 = 8 + 5x

1.) x/5 + 2 = 8 2.) -2(b – 4) = 12b 3.) 3x + 2x + 20 – 8 = 92 4.) 6x + 15 = x 5.) 8b + 16 – 2b = 4b 6.) 3(k + 8) = 21

7.) 8.) -3x – 4 = ) 2x – 4 = 8 10.) 6a – 4 = a 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)