Solving Equations & Inequalities

How do you know when you need to distribute?

• You never have to distribute

• There is an equal sign

• There are exponents

• There are parenthesis

• Distribution

• Combine Like Terms

• Move the variable

• Division

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

4x + 2(x - 6) = 12

• x = 6
• x = 4
• x = 2
• x = -2

solve 5(6 + 3r) + 7 ≥ 127

• r ≤ 6

• r ≥ 6

• r ≤ -6

• r ≥ -6

Solve: 5x + 34 = -2(-7x + 1)

• x = -4

• x = 9

• x = 4

• x = 36/19