Algebra Year 8 Review

Substitution

100

if a = 4, evaluate 4a+3

19

200

if a = 3 and b=2, evaluate a-5b

-7

300

if a = -2, b=4

evaluate 10a -b

-24

400

if k=10 and m=5

evaluate km+2k-3m

55

500

a=7, b=4, c=3

3(a+b) -2(b-c) 

31

Collecting Like Terms

100

4x + x

5x

200

6mn + 3mn - 4

9mn - 4

300

5p + 3q - 10p -q

-5p + 3q

400

20xyz + 15yzx 

35xyz

500

1 - 6m + 8n - 10m + 4n + 7

8-16m+12n

Multiplying and Dividing

100

m x m

m²

200

20mn x 5mn

100m²n²

300

5gh x g⁵hk

5g⁶h²k

400

16m⁴n⁵ / 20mn⁷

4m³ / 5n²

500

(2ab x 8a) / 4b⁶

4a²/b⁵

Expanding

100

3(x+9)

3x+27

200

m(m+5mn)

m² + 5m²n

300

6a(a+3b)

6a² + 18ab

400

-4c (2 - 7a)

-8c + 28ac

500

3ab(4a + 7b)

12a²b + 21ab²

Factorising

100

8m + 20m²

4m(2 + 5m)

200

10x² - 6x⁵

2x² (5 - 2x³)

300

25pqr + 15p

5p(5qr + 3)

400

14x²y + 7xy

7xy(2x + 1)

500

t⁵v¹⁰ + 35t²v

t²v (t³v⁷ + 35)