Solve Equations with Variables on Both Sides

Vocabulary

100

Define Variable

A letter used to represent one or more numbers.

200

Addition is the __________ operation of subtraction. 

Inverse

300

What is the number in front of the variable called?

5x + 7 = 8x - 9 

Coefficient 

400

What does it mean when there is no solution to a equation? 

There is no number that will make the equation true

500

What must you do first in this problem?

-9x + 5 = 7x + 2 -3x 

Combine like terms 

Variables on Both Sides

100

8x+2x=15x-10
A.)-2 B.) 0.4 C.) 2 D.) 5

C.) 2 

200

5y+1=7y-7
A.) -4 B.)-3 C.)3 D.)4

D.) 4 

300

w+3=w+6
A.) 3 B.) no solution C.) W=0 D.) 5

B.) No solution 

400

8c+5=4c-11
A.)4 B.) 2 C.)-4 D.) 6

C) -4 

500

100+x=50+51x
A.)-1 B.)1 C.)-2 D.)2

B) 1

Variables on Both Sides

100

3x-4=2x+8-5x

x=2

200

-3x + 6 = -3x + 9 

6 = 9

No solution 

300

-5x + 10 = -5x + 10

10= 10 

infinitely many solutions 

400

-8x + 10 = -2x + 34

x= -4

500

5(2x-7)= 10x -35

-35 = -35 

infinitely many solutions 

Misc.

100

3x - 5 = 2x + 7

12

200

4x - 3 = 2x + 5

4

300

5 + 3x = 5x - 19

12

400

2x + 12 = 3x -31 

43

500

4x - 9 = 7x + 12

-7