1. 8.8 Solving Multi-Step Equations and Inequalities

2. 1)If there are ( ) distribute 2)Collect like terms on same side. 3)Move variables to same side of equation. 4)Move the constant to the other side of the equation 5)Solve for x using the Steps to solve multi-step linear equations

3. 3(n - 2) – 1 = 2 – 5(n + 5) 3n - 6 – 1 = 2 – 5(n + 5) 3n - 6 – 1 = 2 – 5n - 25 3n - 7 = -23 – 5n +5n5n + 8n - 7 = -23 +7 8n = -16 n =-2 Ex :

4. No Solution Also referred to as: “Null Set” or “Empty Set” Happens when the variable cancels out and leaves you with a false equation

5. 14 + 8w = 4(8+2w) Empty Set or Null set

6. Identity An equation that is true for every value of the variable The variable cancels out and you are left with a true equation

7. -2(3r+4) = -5r-8-r

8. 1)If there are ( ) distribute 2)Collect like terms on same side. 3)Move variables to Left hand side of inequality. 4)Move the constant to the right side of the inequality 5)Solve for x using the (If you multiply or divide by a negative number to both sides of the inequality then flip the inequality sign) Steps to solve multi-step linear inequality

9. -6x + 7 – x + 1 < 2x + 4 -2-6-40 6 42 -7x + 8 < 2x + 4 -2x -9x + 8 < 4 -8 -9x < -4 -9 Example :

10. 5(12-3t) ≥15(t+4) -2-6-40 6 42 60-15t ≥ 15t +60 -30t ≥ 0 t ≤ 0 Example :

11. Homework Page 377 (18-35) all