Algebra 1 - Solving Equations

One-Step Equations

100

-7 = b - 3

b = -4

200

x/3 = 2

x = 6

300

5x = 20

x = 4

400

(4/5)*m = 28

m = 35

500

-2.54 = p + 7.17

p = -9.71

Two-Step Equations

100

2x + 3 = 15

x = 6

200

(1/2)a + 5 = 18

a = 26

300

-t + 8 = 3

t = 5

400

(x – 7)/3 = -12

x = -29

500

-24 = -10x + 3

x = 2.7

Multi-Step Equations

100

5 = 5m - 23 + 2m

m =4

200

(x + 4) + 2x = 67

x = 21

300

-8(2x - 1) = 36

x = -7/4

400

3.5 - 0.02x = 1.24

x = 113

500

3x/4 - x/3 = 10

x = 24

WORK

3x/4 - x/3 = 10

9x/12 - 4x/12 = 10 [write fractions/common denominator]

5x/12 = 10

12*(5x/12) = 10*12

5x/5 = 120/5

x = 24

Variables on Both Sides

100

3b - 4 = b + 2

b = 3

200

5x + 2 = 2x + 14

x = 4

300

1.5p = 1.25p + 8

p = 32

400

2(5x - 1) = 3(x + 11)

x = 5

500

9m - 4 = -3m + 5 + 12m

NO SOLUTION

d=rt

100

A car travels at a constant speed of 65 miles per hour for 4 hours. How far does it travel?

620 miles

200

A runner travels 12 miles in 2 hours. What is the runner’s average speed?

6 mph

300

A bus travels 180 miles at a constant speed of 45 mph. How long does the trip take?

4 hours

400

A bus travels 180 miles at a constant speed of 45 mph. How long does the trip take?

75 miles

500

A hiker walks 8 miles in 1 hour and 36 minutes. What was the hiker’s average speed in miles per hour?

5 mph