Like terms, expanding and factorising

Definitions

100

Variables/constants in an expression separated by addition/subtraction

What is a term?

200

A constant that multiplies a variable

What is a coefficient?

300

Variables/constants that can be combined by addition or subtraction

"like-terms"

400

The largest number that divides two other numbers

Highest common factor

500

When two or more expressions are made equal.

Equation

Like terms

100

5x+8x-3y

What is 13x-13y

200

9a+18a-3a+7b-2b²

What is 24a-2b²+7b

300

8m²-12m+m²+8m+5

What is 9m²-4m+5

400

4x+2a+3x+2a²-3ax

What is 2a²+2a-3ax+7x

500

b²+3a-b²+10a+b²-3a-b²-10a

What is 0

HCF

100

HCF of 12 and 6

What is 6 

200

HCF of 105 and 35

What is 7 

300

HCF of 13 and 25

What is 1

400

HCF of 63 and 15

What is 3

500

HCF of 0 and 13

What is 0

Expanding

100

5(x+12)

What is 5x+60

200

3m(5m+7n)

What is 15m²+21mn

300

-f(f-y)

What is -f²+fy

400

7x - 3(x-2)

What is 4x+6

500

5x - 3(5x-3)

What is -10x+9

Factorising

100

3t+15

What is 3(t+5)

200

9p+3

What is 3(3p+1) 

300

24+10y

What is 2(12+5y)

400

-8ab-16

What is -8(ab+16)

500

-12ab+16b

4a(-3b+4b)