Manipulating Algebraic Expressions - Easier

Collecting Like Terms

100

4a + 7a

11a

200

3p + 4q + 5p

8p + 4q

300

What is 3b + 8d - 4b + 5b - 7d

4b + d

400

4a - 6b - 9a + 8b

2b - 5a

500

2a² + 8ab + 6a - 3ab - 8b

2a² + 5ab + 6a -8b

Expand the Brackets

100

3(x + 2)

3x + 6

200

5(m - 2)

5m - 10

300

-2(2s + 6)

-4s - 12

400

2d(7d - 9)

14d² - 18d

500

 -8t(-3t + 3)

24t² - 24

Multiplying

100

Factorise 8x + 4 

4(2x + 1)

200

Factorise 14x - 2 

2(7x -1)

300

Factorise 24ab - 18bc

6b(4a - 3c)

400

Factorise 10c² + 10c

10c (c + 1)

500

 Factorise 90m² - 45m

9m(10m - 5)

Substitution

100

If a = 3 and b = 9, what is ab?

27

200

If t = 19 and z = 22, what is t - z?

-3

300

Find s(s + r) when s = 6 and r = 5

66

400

Find  p - q when p = -12 and q = -15

3

500

Evaluate a² - b² when a = -6 and 6 = 3

25

Re-arranging Formula

100

Solve w + x = y for w, when x=2 and y=5

w=3

200

Solve A=Lb  for b, where A=30 and L=5

b=6

300

Solve v=u+at for t, where v=20, u=5 and a=3

t=5

400

Make x the subject in the formula 2d + x = f

x = f - 2d

500

Make y the subject in the formula    ax + by = c

y=(c-ax)/b