Multi-Step Equations

Sol A.4

• To solve multi-step equations you form a series of simpler equivalent equations.

• To do this use the properties of equality, inverse operations and properties of real numbers.

• You use the properties until you isolate the variable.

Combining Like Terms

5 = 5m – 23 + 2m5 = 5m + 2m – 23 Comm. Prop. Of Addition5 = 7m – 23 Combine Like Terms5 + 23 = 7m – 23 + 23 Add 23 to both sides28 = 7m Simplify28/7 = (7m)/7 Divide each side by 74 = m

Check your work.

Your Turn

11m – 8 – 6m = 22

Your Turn

• -2y + 5 + 5y = 14

Solving a Multi-Step Equation Word Problem

• Turn to page 95 in your textbook and lets look at “Problem 2” together.

Solving an Equation Using the Distributive Property

-8(2x – 1) = 36-16x + 8 = 36 Distributive Property-16x + 8 – 8 = 36 – 8 Subtract 8 from both sides-16x = 28 Simplify(-16x)/-16 = 28/-16 Divide each side by -16X = -7/4 Simplify

Your Turn

18 = 3(2x – 6)

Solving an Equation That contains Fractions

There are 2 methods that you can you to solve an equation that contains fractions.

I will show you both methods and you need to try them both to decide which works best for you!

Method 1 Write the terms using a common denomitaor

• 3/4x – 1/3x = 10

Method 2Clear the fractions from the equation

• 3x/4 – x/3 = 10

Your turn

• (2b)/5 + (3b)/4 = 3

Your Turn

• 1/9 = 5/6 – m/3