8th Grade Equations Review

1/2 step equations

100

x−17=−8

x=9

200

−4x=36

x=-9

300

X +4=−3

6            

x=-42

400

−3x−7=20

x=−9

500

X -8 = -1

5          2

x=75/2

Variables on both sides

100

7x+4=3x+24

x=5

200

9x−12=4x+18

x=6

300

−2x+15=5x−20

x=5

400

4(x-6)= -16

X=2

500

16-4x=7x+5

x=1

Multistep equations

100

3(x−4)=18

x=10

200

2(3x+5)=34

x=4

300

4(x−2)+7=3x+10

x=11

400

5(2x−3)−4=3x+8

x= 27/7

500

3(4x−5)+2x=5(x+3)−9

x=21/9

word problems

100

A number decreased by 15 is equal to twice the number minus 3. Find the number.

x=-12

200

Six less than three times a number is 24.

x=10

300

A number plus 8 is equal to half of the number plus 20.

x=24

400

A movie theater charges a $12 entrance fee plus $3 per snack. The total bill was $33. How many snacks were purchased?

x=7

500

Two groups are buying supplies. Group A pays a $15 starting fee plus $8 per item. Group B pays a $35 starting fee plus $4 per item. How many items would make the costs equal?

5 items

Types of Solutions

100

identify the solution set 4x+9=4x+9

identity/ infinite

200

-3(5x−7)=-3(5x+2)

null/no solution

300

7(x-12)=3x+4(x-21)

identity/infinite

400

4(2x−3)+7=8x−9

null/no solutions

500

3(2x−5)−4(x+1)=2(x−10)+5

null set/ no solutions