Solving One-Variable Equations

One-Step Equations

100

x = 3 - 9

x = -6

200

3 + g = -17

g = -20

300

19 - w = 13

w = -6

400

-7x = 126

x = 18

500

p/3 = -9

p = -27

Multi-step Equations

100

2p + 1 = 21

p = 10

200

7p - 9 = -30

p = -3

300

2(x + 1) = 18

x = 8

400

6(t - 3) = -60

t = -7

500

5y + 5(y - 3) = -63

y = -24/5

Simplify Me

100

2x - 5 + 4x

6x - 5

200

4x + 8 - 6x - 10

-2x - 2

300

2(3c - 8) + 20

6c + 4

400

-2(7a + 4) + 5(a + 3)

a + 7

500

-3(d - 1) - 2(3d - 4) 

-9d + 11

Problem Solving

100

Michael travels 315 miles in 7 hours. What is his average speed?

45 mph

200

Terry takes 3.9 hours to study for her math test. How many minutes is she studying?

234 minutes

300

One elephant runs 10 mph for 90 minutes. How many miles does the elephant run?

15 miles

400

Joseph is building a rectangular garden. He has 30 feet of fencing. The width of the garden must be 8 feet. What is the length of the garden?

L = 7 ft

500

Two men are hiking a twelve mile stretch of the Ozark Highlands Trail. The first man begins his hike at 7:12 a.m. and travels at 3 mph. The second man begins his hike at 8:21 a.m. and hikes at 4 mph. If both men travel the same route, how many minutes apart will they arrive at their destination?

Man 1 - Arrives at 11:12 am

Man 2 - Arrives at 11:21 am

They arrive at the same time so 9 minutes apart!

Fraction Equations

100

2/3 x = 14

x = 21

200

5 + 3/5 x = 17

x = 20

300

1/4 x + 5/4 x = 18

x = 12

400

4/5 x + 1/5 = 3

x = 7/2

500

7/6 x - 1/3 x = 10/3

x = 4