8th Grade Equations Review

One-Step

100

x+6=9

X=3

200

m-2= -19

DOUBLE

m= -17

300

-2x=32

x= -16

400

h/4=-3

h= -12

500

2/3 x= -20

x=-30

Two-Step

100

3b+4=19

b=5

200

-5y+7= -23

y=6

300

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

DOUBLE POINTS!!!

52 students

400

4(x-6)= -16

X=2

500

4/5 m +2= -6

m=-10

Variables on both sides

100

2x+5= 3x

x=5

200

5x+2= 3x-8

x=-5

300

12x+8= 3x+62

x=6

400

16-4x=7x+5

x=1

500

−8(8b − 7) = −1 − 7b

DOUBLE

b = 1

Multi-Step Equations

100

7(x-2)=6x

x=14

200

-(a-12)+4a= 9a

a=2

300

3(x+1)=x+5

x=1

400

−3(4x + 3) + 4(6x + 1) = 43

DOUBLE POINTS!!!

x = 4

500

4(2a+3)= -3(a-1)+31

a=2

Types of Solutions

100

Name the three different types of solutions for equations.

One solution, No solution, infinite solutions

200

If after solving the equation you arrive at 5 = -5, what is the type of solution?

No solution

300

What is an example of an equation with one solution?

(Answers vary)

400

If you arrive at the step 6=6 when solving an equation, what would be the solution?

Infinite Solutions

500

If you arrive at 6x+2=6x+2 when solving the equation, what type of solution can you predict this is?

Infinite Solutions