Algebra 1 - Solving Equations

Two-Step Equations

100

Solve for x:

2(x + 3) = 10

x = 2

300

Solve for a:

(1/2)a + 5 = 18

a = 26

WORK

(1/2)a + 5 = 18

(1/2)a + 5 - 5 = 18 - 5

(1/2)a = 13

2*(1/2)a = 13*2

a = 26

500

4(3x - 2) - 6 = 2(5x + 1)

x = 8

Multi-Step Equations

100

Solve for m:

5 = 5m - 23 + 2m

m =4

WORK
5 = 5m - 23 + 2m
5 = 5m + 2m - 23
5 = 7m - 23
5 + 23 = 7m - 23 + 23
28 = 7m
28/7 = 7m/7
4 = m

300

Solve for x:

(x + 4) + 2x = 67

x = 21

WORK
(x + 4) + 2x = 67
x + 2x + 4 = 67 [addition is commutative]
3x + 4 = 67
3x + 4 - 4= 67 - 4
3x = 63
3x/3 = 63/3
x = 21

500

Solve for x:

2(3x+5)-4 = 16+4x

x=5

Variables on Both Sides

100

Solve for b:

3b - 4 = b + 2

b = 3

WORK
3b - 4 = b + 2
3b - 4 + 4 = b + 2 + 4
3b = b + 6
3b - b = b - b + 6
2b = 6
2b/2 = 6/2
b = 3

300

Solve for x:

5x + 2 = 2x + 14

x = 4

WORK
5x + 2 = 2x + 14
5x + 2 - 2 2x + 14- 2
5x = 2x + 12
5x - 2x = 2x - 2x + 12
3x = 12
3x/3 = 12/3
x = 4

500

4(a + 2) = 2a + 16

a = 4