Algebra 1 - Solving Equations

Absolute Values

100

Solve for b:

|b| = 3

b = -3, 3

200

Solve for x:

|x - 3| = 4

x = 7, -1

300

Solve for x:

|2x| = -10

No Solution

400

Solve for m:

|2m + 6| = 28

m = 11, -17

500

Solve for p:

|4p + 6| = |3p - 2|

p = -8, -4/7

Two-Step Equations

100

Solve for x:

2x + 3 = 15

(When you see it written 2x that means the same thing as 2*x)

x = 6

200

Solve for a:

(1/2)a + 5 = 18

a = 26

300

Solve for t:

-2t + 7 = 3

t = 2

400

Solve for x:

(x – 7)/3 = -12

x = -29

500

Solve for x:

-24 = -10x + 3

x = 2.7

Multi-Step Equations

100

Solve for m:

5 = 5m - 23 + 2m

m = 4

200

Solve for x:

(x + 4) + 2x = 67

x = 21

300

Solve for x:

-8(2x - 1) = 36

x = -7/4

400

Solve for x:

3.5 - 0.02x = 1.24

x = 113

500

Solve for x:

3x/4 - x/3 = 10

[remember what fractions really look like?]

x = 24

Variables on Both Sides

100

Solve for b:

3b - 4 = b + 2

b = 3

200

Solve for x:

5x + 2 = 2x + 14

x = 4

300

Solve for p:

1.5p = 1.25p + 8

p = 32

400

Solve for x:

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

x = 5

500

Solve for x:

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

NO SOLUTION

Formulas

100

Solve for t:

d = r*t

t = d/r

200

Solve for m: d = m/v

m = d*v

300

Solve for L: V = L*W*H

L = V/(W*H)

400

Solve for h: A = (1/2)bh

h = 2A/b

500

Solve for F:

C = (5/9)(F - 32)

F = (9C/5) + 32