Algebra

Vocabulary

100

the name for the unknown number that is represented with a letter

variable

200

the name for a number whose value will always remain the same (no variable)

constant

300

the number in front of a variable in a variable term

EX: 5x (what is the 5 called?)

co-efficient

400

Numbers, symbols and operations (such as + and ×) grouped together that represent the value of something

expression

500

A mathematical sentence that shows the equality relationship between two algebraic expressions is called:

An algebraic equation

Variable Operations

100

2x + 5x = 

7x

200

2x - 5x

-3x

300

2x·5x

10x²

400

x³·x⁵

x⁸

500

(x³)⁴

x¹²

Equations

100

3x + 9 = 30

x = 7

200

4(2x-5) = 60

x = 10

300

x/3 + 5 = 20

x = 5

400

4x+6x=-50

x = -5

500

-12x+4x-x=63

x=-7

Distributive Property

100

Simplify 2(x+1)

2x+2

200

Simplify -3(2x-3y)

-6x+9y

300

Simplify x(-x-9)

-x²-9x

400

Simplify -3x(-4y+8z-1)

12xy-24xz+3x

500

Simplify -3x(-2x+9)-(5x+6)

6x²-32x-6

More Equations

100

Solve x/4=5

x=20

200

Solve 3x/-2=3

x=-2

300

Solve -12x-16=8

x=-2

400

Solve 5p-8p+10=-5

p=5

500

Solve x²+1=10

x=3 or x=-3