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Definitions
Next step
Mystery
Solve for x
Solve for x
100

The counting numbers: 0, 1, 2, 3, ...

Whole numbers

100

What is the next step? 17 = x - 20

Add 20 to both sides

100
If the perimeter of a square is 28 feet, what is the length of one of its sides?
7 feet
100
Solve b - 12 = 3
b = 15
100
Solve 3(x + 2) = 5x
x = 3
200

A letter or symbol that represents an unknown quantity

variable

200

What is the next step? 3(x + 12) + 5 = 12x + 1

Distribute

200
What is the next step? -2x + 4 = 5 - 2x
Add 2x to both sides.
200
Solve -11 + 2X = 15
X = 13
200
Solve 14 = -X + 6
X = - 8
300

Terms that have the same variable part

Like terms

300
What is the next step? 13x = 3x + 2
Subtract 3x from both sides. OR Subtract 13x from both sides.
300
Solve 6 - (3x - 1) = 7
x = 0
300
Solve 17 = 5(x + 2) - 3x
x = 7/2 or 3 1/2
300

Solve 30x/4 = 2

x = 4/15

400

A number multiplied by a variable.

Coefficient

400

What is the next step? x - 3 + 2x = 7

Simplify or combine like terms

400
If the area of a rectangle is 169 cm squared, and the length is 13 cm, what is the width of the rectangle?
13 cm
400
Solve 5(X - 2) = 3 (X + 1) + 1
X = 7
400

Solve 2x - 2 = 2(-1+x)

infinitely many

500
A term that is a number with no variable part.
constant
500
What is the next step? x/2 = 16
Multiply both sides by 2
500
The perimeter of a rectangle is 150 cm. The length of the rectangle is 48 cm. What is the width of the rectangle?
27 cm.
500
Solve 2 - 2y = -(2y + 4) +7
no solution
500
Solve x + 2 = 3x - (1 - x)
x = 1