Basic Algebra

Vocabulary

100

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

variable or pronumeral

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 expression that shows the value of the expression using an equal sign

equation

Variable Operations

100

2x + 5x

7x

200

2x - 5x

-3x

300

2x + 5x - 11x

-4x

400

y x 14z

14yz

500

4z x 3y

12yz

Multi-Step

100

3x + 9 = 30

x = 7

200

4(2x-5) = 60

x = 10

300

x/3 + 5 = 20

x = 45

400

3x + 10 = 2x

x = -10

500

13x - 8 = 9x +4

x = 3

Distributive Law

100

2(4x + 2)

8x + 4

200

7(-9 + 3x)

-63 + 21x

300

-4(9y - 5)

-36y + 20

400

x(2y - 14)

2xy - 14x

500

-5(2x - 11y + 20)

-10x + 55y - 100

1-Step

100

x - 7 = 10

x = 17

200

3x = 45

x = 15

300

x + 11 = 0

x = -11

400

9 + y = 30

y = 21

500

40 = y / 2

y = 80