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Literal Equations
Absolute Value Equations
Solving Equations with Combining Like Terms
Solving Equations Using the Distributive Property
Solving Equations with Variables on Both Sides
100

Solve for x: x + y = z

1st: Subtract y from both sides


x = z - y OR

x = -y + z

100

| z - 13 | = 21

What is { -8 , 34 }

100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
9x - 10 = 5x + 14
x = 6
200

Solve for y: 2x + 2y = P

1st: Subtract 2x from both sides

2nd: Divide both sides by 2


y = (-2x + P)/2 OR

y = (P - 2x)/2 OR

y = -x + P/2 OR

y = P/2 - x

200

| d + 1 | = 7

What is { 6 , -8 }

200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
Tell whether x = -7 is a solution to the following equation. -3x - 13 = -7x + 15
No, x = 7.
300

Solve for z: xyz = b

1st: Divide both sides by xy



z = b/(xy)

300

3 | 2a - 4 | = 0

What is { 2 }

300
3z + 12 - 6z = -9
x = 7
300
7(4 - t)=-84
t = -8
300
6x + 10 = 2x + 2
x = -2
400

Solve for c: a + 2b + 3c - 4d = e

1st: Subtract a from both sides

2nd: Subtract 2b from both sides

3rd: Add 4d to both sides

4th: Divide everything by 3


c = (-a - 2b + 4d + e)/3

400

2 | y + 4 | = 14

What is { 3 , -11 }

400
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400
-14x = -5(3x + 7)
x = -35
500

Solve for c:


x - 4y + 2b = 6c

1st: Dividing both sides by 6.


c = (x - 4y + 2b)/6

500

-3 | 3t - 2 | -12 = -6

What is { No Solution }

500
78=3c+12-c+4
c = 31
500
-(4 + 2a) = 20
a = 12
500
-(10y + 25) = -18y+57
x = 4