Solving Multi-Step Equations

Solving Multi-Step Equations

Learning Objective-

I can solve multi-step equations with one variable.

5=5m-23+2m

Steps:

Write the original equation. 5=5m-23+2m

Gather like terms. 5=5m+2m-23

Combine the like terms. 5=7m-23

Add 23 to each side. 5+23=7m-23+23

simplify. 28=7m

Divide each side by 7

Simplify. 4=m

Check your answer.

4=m

5=5(4)-23+2(4)

5=5

Solving an Equation Using the Distributive Property

 $-8x\left(2x-1\right)=36$  

How is sovling a multi-step equation similar to solving a two-step equaiton?

When solving an equation, the goal is to isolate the variable. Use the distributive property and combine like terms until a multi-step equation becomes a two-step equation.

Bowling

Three friends go bowling. The cost per person per game is $5.30. The cost to rent shoes is $2.50 per person. Their total cost is $55.20. How many games did they play?

Multiple Choice

3x + 2(4x - 4) = 3

• 4

• 3

• 2

• 1

Multiple Choice

5x - 4 + 2x = 3

• 1

• 2

• 3

• 4

Multiple Choice

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

Multiple Choice

Solve the equation:
3x - x + 2 = 4(2x - 1)

• infinite solutions
• x = 1
• x = -1
• no solution

Multiple Choice

Solve the equation:
3(x - 1) = 2x + 9

• x = 12
• no solution
• x = 10
• x = 6

Multiple Choice

2 + 14a = -8 + 9a

• -2

• 3

• 5

• -10

Multiple Choice

4(a + 3) = -32

• -11

• -44

• -20

• -8