Solving Equations

One-Step

100

-2x=14

x=-7

200

x+5=-4

x=-9

300

^x/_-6 = -3

x=18

400

²/₃x = -12

x=-18

500

-10 - x = 15

x=-25

Two-Step

100

3 + 4c = 15

x=3

200

-3x+5=29

x=-8

300

¹/₃a +2 = 5

a=9

400

-¹/₅x - 3 = 7

x=-50

500

-8 - 2x=14

x=-11

More Two-Step

100

3(x-5)=24

x=13

200

0.3(5+y)=12

y=35

300

¹/₈(v-6)=¹/₂

x=10

400

⁴/₅(c+12)=-8

c=-22

500

-5(6-x)=30

x=12

Word Problems

100

A car can travel an average of 24 miles per gallon of gas. Write and solve an equation to find how many gallons will be needed for a trip of 348 miles. 

24g=348

14.5 gallons

200

John answered 3/5 of the questions on his math quiz correctly. If he answered 12 questions correctly, write and solve an equation to find how many questions were on the quiz?

3/5q=12

20 questions

300

Julie earns $200 each week plus $25 for each pair of shoes she sells. Write and solve an equation to find how many pairs of shoes she needs to sell to earn $1000 one week?

200 + 25x = 1000

32 pairs of shoes

400

Mr. Vargas is taking his class ice skating. There are 24 students in the class. Each student pays an entrance fee, then a $4 fee to rent skates. The total cost for all students was $216. Write and solve an equation to find the ice-skating rinks entrance fee.

24(f+4)=216

$5

500

Tina bought some fruit for $5 and 3 boxes of cereal. If she spent a total of $17, write and solve an equation to find the price for each box of cereal.

3x+5=17

$4 per box