Free Printable Solving, Expanding & Factorising Review RGO

1.

Solve the following equation.
4x + 3 = -5

a)

1/2

b)

-1/2

c)

-2

d)

2

2.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

3.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

4.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

5.

Solve:
-4x = 24

a)

20

b)

-20

c)

6

d)

-6

6.

Solve:

$7+\frac{a}{3}=5$

a)

$a=-2$

b)

$a=-6$

c)

$a=3$

d)

$a=15$

7.

$\frac{1}{2}\ x\ -\ 6\ =\ 4$

a)

x = -4

b)

x = -2

c)

x = 10

d)

x = 20

8.

10(f + 5)

a)

10f + 50

b)

f + 50

c)

10f + 5

d)

b + c

9.

Expand 3(4d - 3)

a)

12d - 9

b)

7d - 6

c)

34d - 33

d)

12d² - 9

10.

-4u(2b - 4u)

a)

-8ub + u²

b)

8ub + 16u

c)

ub + 16u²

d)

-8ub + 16u²

11.

Expand 3(x + 2) + 2(x + 4)

a)

3x + 24 + 2x

b)

5x + 24

c)

6x² + 6

d)

5x + 14

12.

Factorise 8x + 12

a)

4(x+2)

b)

8(x+4)

c)

4(x+3)

d)

4(2x+3)

13.

Factorise: 4x² + 8x

a)

4x(x+2)

b)

4(x²+2x)

c)

2x(2x+4)

d)

2(2x²+4)

14.

Factorise fully: 6x² - 3x

a)

3x(2-x)

b)

3(2x²-x)

c)

3x(2x-1)

d)

6x(x-3)

15.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

16.

Factorise fully: 6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

17.

Factorise fully: 5x + 15c - 20y

a)

xcy (5 + 15 - 20)

b)

5 ( x + 15c - 20y)

c)

5x (15c - 20y)

d)

5 (x + 3c - 4y)

18.

Find the value of y = 3x - 2

if x = 4 ...

a)

6

b)

8

c)

7

d)

10

19.

If p = 2 and q = 3 , find the value of 3p - q ...

a)

3

b)

6

c)

9

d)

12

20.

Given x = 4, y = 7 and z = 2

find the value of x²+ 7y + 5z = ...

a)

75

b)

1

c)

78

d)

73

21.

Given m = 6 and n = 4
Find the value of 4m - 3n = ...

a)

12

b)

21

c)

16

d)

7

22.

(x+3)(x+11)

a)

x²+30x+14

b)

x²+14x +30

c)

14x+33+x²

d)

3x²+11x+33

23.

Expand (x + 5)(x + 4)

a)

x² + 9x + 20

b)

x² + 20x + 20

c)

5x² + 20

d)

x² + 6x + 9

24.

(x+2)(x+3)

a)

x² + 5x + 6

b)

x² + 6x + 5

c)

x²+ 7x + 5

d)

x² + 6x + 6

25.

(x+9)(x-9)

a)

x²-18x-81

b)

x²-81

c)

x²+81

d)

x²+18x-81

26.

(x-7)(x+3)

a)

x²-3x-21

b)

x²+4x-21

c)

x²-4x-4

d)

x²-4x-21

27.

(x-8)(x+1)

a)

x²-9x-8

b)

x²-7x-8

c)

x²-7x+8

d)

x²+9x-8

28.

(x+5)(x-6)

a)

x²-11x-30

b)

x²-11x+30

c)

x²-x-30

d)

x²+x-30

29.

Expand (x + 5)(x - 3)

a)

x² - 15

b)

x² + 2x

c)

x² + 15x - 15

d)

x² + 2x - 15

30.

(x+2)(x+3)

a)

x² + 5x + 6

b)

x² + 6x + 5

c)

x²+ 7x + 5

d)

x² + 6x + 6

31.

(3x+2)(2x +3)

a)

6x²+ 6x + 6

b)

5x² + 11x + 6

c)

6x² + 13x + 6

d)

6x²+ 13x + 5

32.

Expand (3x + 2)(x+4)

a)

3x² + 11x + 8

b)

3x² + 6x + 8

c)

3x² + 12x + 8

d)

3x² + 14x + 8

33.

Expand (2x + 3)(3x - 2)

a)

6x² + 5x - 6

b)

6x²+13x - 6

c)

6x² - 5x - 6

d)

6x² +5x + 6

34.

Expand and simplify the following quadratic expression...

(x - 6)(x - 4)

a)

x² - 10x + 24

b)

x² - 10x - 24

c)

x² + 10x - 24

d)

x² + 10x + 24

35.

Expand and simplify the following quadratic expression...

(x + 7)²

a)

x² + 49

b)

x² + 14x + 49

c)

x² + 49x + 14

d)

x² + 7x + 49

36.

Expand and simplify the following quadratic expression...

(x + 4)²

a)

x² + 16

b)

x² + 8x + 16

c)

x² + 4x + 16

d)

x² + 16x + 8

37.

Expand and simplify the following quadratic expression...

(x + 7)²

a)

x² + 49

b)

x² + 14x + 49

c)

x² + 49x + 14

d)

x² + 7x + 49

38.

Solve the following : (g +1) (g-4)

a)

g²- 3g -4

b)

g² +3g - 4

c)

g² + 3g +4

d)

-g² -3g -4

39.

(x + 2)²- 4

a)

x² + 4

b)

x² - 4x

c)

x² + 4x

d)

x² - 2

40.

A square has side length (n - 1) cm

Which expression is the area of the square in cm²?

a)

n^2+1

b)

$n^2-1$

c)

$n^2-2n-1$

d)

$n^2-2n+1$

41.

Factorsie fully: 20x + 30

a)

10(2x+3)

b)

10(x+3)

c)

5(4x+6)

d)

2(10x+15)

42.

Factorise fully: ab + 4b

a)

a(b+4)

b)

b(a+4)

c)

ab(1+4)

d)

b(a+4b)

Solving, Expanding & Factorising Review RGO

Total questions: 42

Worksheet time: 3hrs 33mins

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