Solving Equations

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = -80

x= -16

500

-16 = x+2

x= -18

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

x/2 + 13 =-8

x= -42

400

x/2 + 5 =10

x= 10

500

x/3 - 6 = -3

x= 9

Multi-Step Equationswith Distributing

100

Distribute ONLY 

8(-4y - 5)

-32y - 40

200

distribute only

-9(5m - 3)

-45m + 27

300

What are the steps for how to solve multi-step equations? 

(hint: Don't call me after midnight)

Distribute 

Combine 

Multiply / Divide 

Add/ subtract

400

Solving Equations

14 = (3a + 6) + 2

a=2

500

Solving Equations

-21 = 7(5k - 8)

k = 1

combining like terms

100

Combine like terms to SIMPLIFY

3v + 2 + 8v - 1

11v +1

200

combining like terms to SIMPLIFY

-7h + 5h + 13 - 5

-2h + 8

300

combine like terms to SIMPLIFY

3x³ + 4x -x + 4

3x³ + 3x +4

400

Combine like terms to SIMPLIFY

-4k + 12y² +6k - 7y²

2k + 5y²

500

Combine like terms. Do NOT solve.

9t + 3 -t = 5 - 7t

8t +3 = 5 - 7t

General Trivia

100

Which term is the variable?  -->  7y + 3 = 21

Y

200

Which term is the constant?  -->   6C = 12 

12

300

What is the coefficient?  -->  3s - 4 = 27

3

400

The Golden Rule of Math:

Whatever you do to one side of the equation, 

You must do to the other.

500

Which operation do you do to distribute?  

8(5x + 7) 

multiply