Multistep Equations

Multistep Equations

Students will be able to fluently solve multistep equations with one, none, or many solutions.

​Important Vocabulary

​Multistep problems

​D.C.M.S

​One Solution

​No Solutions

​Infinite Solutions

​Steps for Solving

​D - Distribute to parenthesis

​C - Combine like terms

​M - Move the variable to one side

​S - Solve using inverse operations

​Example Problems

​1. 2x + 2(3x - 4) = 2x - 4

​Distribute: 2x + 6x - 16 = 2x - 4

​Combine: 8x - 16 = 2x - 4

​Move Variables: 6x - 16 = -4

​Solve: x = 2

2. 9x + 2(3x + 2) = 4x + 2(2-4)

​Distribute: 9x + -6x + 4 = 4x + -4

​Combine: 3x + 4 = 4x + -4

​Move Variables: 4 = x + -4

​Solve: x = 8​

​3. 6 + 8x = 4x - 2(4 + 3x)

​Distribute: 6 + 8x = 4x - 8 + 6x

​Combine: 6 + 8x = 10x - 8

​Move Variables: 6 = 2x - 8

​Solve: x = 7

Multiple Choice

3(x+1) = 5 + x

• x = 2

• x = -1

• x = 1

• x = 5

Multiple Choice

2(x + 2) - 5 = 3(x + 1)

• x = -2

• x = -4

• x = 4

• x = 2

Multiple Choice

5(3x + 2) -2 = -2(1 - 7x)

• x = -5

• x = 10

• x = 5

• x = -10

Multiple Choice

3x + 5 = 25 - x

• x = -5

• x = 5

• x = 2

• x = 10