Multi-Step Equation
Proportions
Absolute Value
General
Properties of Equality
100

3x - 1 = 8

x = 9

100

 ⁴⁄₃ = ˣ⁄₆

x = 8

100

|x|=2

(-2, 2)

100

a number is less than -10

n < -10

100

2( x - 9) = -10 

2x - 18 = -10

Distributive Prop. 

200

9x + 1 - 7x - 5 = -20

x = -8

200

ʸ⁻³⁄₂ = ʸ⁄₅

y = 5

200

|x| = -3 - 2

No Solution 

200

which property is this? 

4 + (x + y) = (4 + x) + y

Associative 

200

-6 = n

n = -6

Symmetric Prop. 

300

12 - 2x = 9x + 45

x = -3

300

⁸⁄ₘ ₋ ₉ = ⁶⁄ₘ ₋ ₈

m = 5

300

-5 |6x + 21| = -15

x = (-3, -4)

300

Which Real Number set does 36/9 belong to? 

Natural

300

What will my problem turn inti if I use addition Prop. of Equality on the equation: 

8k - 4 = -20

8k = -16

400

3x - 13 = 7(x + 2) - 4(x - 7)

No Solution

400

⁷⁄₂ₓ ₋ ₈ = ³⁄ₓ ₋ ₆

x = 18

400

|⁴ˣ ⁻¹²⁄₂| = 8

x = (-1, 7)

400

If the length of one side of my square pool is 2x + 5. What is the perimeter in simplest form? 

8x + 20

400

Where was mistake made below?

-8(w+1) = -5(w + 10) 

-8w - 8 = -5w - 50

-13w - 8 = -50

-13w = -42

-5w was subtracted for -8w rather than added

500

4x = 38 - ½ (4x + 16)

x = 5

500

³⁄₁₆ₓ , ¹⁄ₓ ₊ ₁₃

x = 3

500

3 - ½ |r + 9| = -11

x = (-36 , 19)

500

four less than the product of a number and 7 is eight more than that number

7x - 4 = 8 + x

500

14 - 2x - 16 = 5x - 3x + 34 

 -2x - 2 = 2x + 34

Combing like terms 

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