Solve Equations with Variables on Both Sides

Vocabulary

100

What is the first step when solving an equation?

Check for distribution/eliminate parenthesis

200

What property is used in the equation: 9x-4=9(12x+2)

Distributive Property

300

What is a coefficient?

The number part of a term with a variable part. Ex: -6x = -6

400

Define Variable

A letter used to represent an unknown number/numbers

500

What is an inequality?

A mathematical sentence formed by placing one of the symbols greater than or less than between two expressions.

Solving Equations

100

14x=56 solve for x

x=4

200

2x+16=22

x=3

300

w+5=100

w=95

400

3x+5=35

x=10

500

22x+182=12

x=-7.72 repeating decimal

Multiple Choice

100

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

C.) 2 : Is the correct answer

200

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

D.) 4 : Is the correct answer

300

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

B.) No solution : Is the correct Answer

400

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

C.)-4 : Is the correct answer

500

81+x=50+51x A.)-0.62 B.)0.623 C.)0.63 D.)0.62

D.) 0.62 : Is the correct answer

Distributive Property

100

3(2x+5)=0

x=-2.5

200

6(2x+3)=30

x=1

300

3(x+5)=5

x=-3.3

400

5(5x+50)=100

x=-6

500

2(5+6x)=52

x=3.5

Variables on Both Sides

100

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

x=2

200

6x+15=3x-3

x=-6

300

5x+2=6x+5

x=-3

400

5.4t+14.6-10.1t=12.8-3.5t-0.6

t=2

500

14-1\5(j-10)=2\5(25+j)

j=10