Multi-Step Equations

Solving Steps

100

What is the first step in solving equations?

Distribute

200

What is the second step in solving equations?

Combine like terms

300

What is the third step in solving equations? (Be specific). 

Add or Subtract to move the variable term. 

400

What is the last step in solving equations? (be specific).

Multiply or Divide to isolate the variable. 

500

When solving an equation with a fraction on one side, what is the first step to get rid of the fraction? 

Multiply by the denominator (or reciprocal) 

Using Distribution

100

2(x - 7) = 10

x = 12

200

5(x + 2) = -20

x = -2

300

3(2 + x) = 5x + 16

x = -5

400

-152 = 4x - 4(6x + 13)

x = 5

500

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

x = 4

Combining Like Terms

100

6 + 10x - 4x = x +1

x = -1

200

-7x - 10 = -8x - 4x

x = 2

300

10 - 8x = -2x + 4x

x = 1

400

13 + 4x + 3x = 3x + 1

x = -3

500

-5 + 7 + 2x - 3x = x - 8

x = 5

1, no, or Infinite Solutions

100

-2(v - 2) = -3 - 2v

No Solution

200

-4(v + 3) = -12 - 4v

Infinite Solution/All Real Numbers

300

-3(v + 4) = 2v - 37

1 solution

400

4(k - 8) = -32 + 4k

Infinite Solutions/All Real Numbers

500

-(3 - 6b) = 6b + 5

No Solution

Literal Equations

100

Solve:   A=lw for l

l=a/w

200

Solve:  g=c+x, for x

x=g-c

300

Solve:  12am=4, for a

a=1/3m

400

Solve:  g=x-c+y, for x

x=g+c-y

500

Solve:  g=b-ca, for a

a=(g-b)/-c  or  a=(-g+b)/c