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 (does not include an = sign)

expression

500

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

equation

Simplifying

100

2x + 5x = 

7x

200

2x - 5x

-3x

300

2b x 5b

10b²

400

b³x b⁵

b⁸

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

3x + 10 = -2

x = -4

500

-5x+3=18

x=-3

FACTORISING

100

4a+8

4(a+2)

200

5ab+10a

5a(b+2)

300

24apy+40aqy

8ay(3p+5q)

400

10p²+11p

p(10p+11)

500

-24k+12p

-12(2k-p) or 12(-k+p)

Equations with unknowns on both sides

100

3x + 10 = 2x

x=5

200

3x +10= 7x+2

x=2

300

8x+3=-2x-7

x=-1

400

5x+2+3x+4=13+2x+5

x=2

500

7(3x+5)=5(2x+7)

x=0