Algebra I Test Review

Solving 2 Step Equations

100

2x - 3x + 4 = 32

-x = 28

x = 28

200

(x/4) + 1 = 13

(x/4) = 12
x = 48

300

4(x+3) = 96

4x + 12 = 96
4x = 84
x = 21

400

(5/4)(4x-12) = 6x-35

5x - 15 = 6x - 35

20 = x

500

3x-(4-2x)+8 = 54

3x-4+2x+8 = 54
5x + 4 = 54
5x = 50
x = 10

Inequalities

100

Solve and graph the following: -x < -5

x > 5 (FLIP THE SIGN)

200

Solve and graph the following inequality
6x - 3 > 12

6x > 15
x > 5/2

300

Solve and graph:
-2x-(4x+3)-3 > 60
 

-6x - 6 > 60
-6x > 66
x < -11 (FLIP SIGN)

400

Solve and Graph the following inequality:

-13 < 5x +2 ≤ 12

-15 < 5x ≤ 10

-3 < x ≤ 2

500

Solve and graph the following inequality:
2x+4 > 14 OR -3x + 5 > 12

2x > 10 OR -3x > 7
x > 5          x <(-7/3) --> FLIP SIGN

Literal Equations

100

Solve for m:
y = mx +b

y - b = mx
(y-b) / x = m

200

Solve for m:
bz / m = x

bz = mx (cross multiply OR multiply both sides by x)
bz / x = m (divide both sides by x)

300

Solve for y:
4y - 8x = 24

y - 2x = 6(divide everything by 4)
y = 6+ 2x

OR
4y = 24 + 8x
y = 6 + 2x

400

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

h = 2A / b

500

Solve for b₂:

(1/2 *h)(b₁+b₂) = A

2A / h = b₁ + b₂ (multiply both sides by 2, divide both sides by h)

(2A / h) - b₁ = b₂