7th/8th Solving Equations

One-Step

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = -80

x= -16

500

-16 = x+2

x= -18

Two-Step

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

(x/2)+2 =-8

x= -20

400

(x/2)+8=10

x= 4

500

(x/3)-3=-3

x= 0

Two-Step 2

100

x - 2 = 6

x = 8

200

-5p + 1 = 6

p = -1

300

2n+10 = 4

n = -3

400

5(m-3) = 4

m = 19/5

500

3(𝑥 − 9) = −3

x = 8

Repeated Variables

100

x + 3 + 3x = 7

x = 1

200

5 + 5x - 1 = 29

x = 5

300

-45 = 3x + 4 + 4x

x = -7

400

14 = -(2a + 7) + 3a - 4a

a=-7

500

-21 = 7(5k - 8) - (3k - 1)

k = -7/16

Variables on Both Sides

100

4x - 2 = 3x + 5

x = 7

200

2(x - 4) = 5x + 4

x = -4

300

6x + 3 - 2x = 2x + 11

x = 4

400

9 - x = 6 + 2x

x = 1

500

6x - 15 + 4x = 5(2x - 3)

ALL REAL NUMBERS

Word Problems

100

Half of a number less than 8 is7

8-x/2=7

x=2

200

A number subtracted by 4 all divided by 5 results in 10. What is the equation?

(n-4)/5=10

300

Joseph eats 50 grams of chips a day. One day, he ate 40 grams less than double the usual amount. How many grams of chips did he eat?

60 grams of chips

400

A car was driving at 35 mi/h. A motorbike was 80 mi less than 4 times the speed of the car. How fast was the motorbike?

60 mi/h

500

Kyle has a number of pencils. Jorge bought 10 more than Kyle. Together, they have 3 times as many as Kyle does alone. How many pencils do they each have?

Kyle has 10 pencils and Jorge has 20 pencils