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Worksheets

Further Equations

Total questions: 18

Worksheet time: 21mins

Name
Class
Date
1.

Simplify the equation

7a + 2b - 3a

a)

10a + 2b

b)

4a + 2b

c)

7a - b

d)

6a

2.

Remove the brackets for

2(x+3)

a)

2x + 3

b)

2x + 6x

c)

2x + 3x

d)

2x + 6

3.

Remove the brackets and simplify the equation

3(x+2) + 6(x-3)

a)

9x - 12

b)

-3x - 12

c)

9x - 6

d)

9x + 12

4.

Solve the equation

x - 12 = 4

a)

X = -16

b)

X = 16

c)

X = -8

d)

X = 8

5.

Solve the equation

5(x+2) = 45

a)

X = 3

b)

X = 5

c)

X = 7

d)

X = 9

6.

Solve the equation

x + 3 = 5x - 9

a)

x = 3

b)

x = 4

c)

x = 5

d)

x = 6

7.

Expand and simplify the expression

(x+3)(x+4)

a)

x² + 4x + 3

b)

x² + 12x + 7

c)

x² + 3x + 4

d)

x² + 7x + 12

8.

Expand and simplify the expression

(2x+5)(3x-6)

a)

5x² - 3x - 30

b)

6x² + 3x - 30

c)

5x² + 11x - 30

d)

6x² + 11x + 30

9.

Solve the pair of simultaneous equation

x + 2y = 12

2x + 3y = 19

a)

x = 5, y = 2

b)

x = 2, y = 5

c)

x = 3, y = 6

d)

x = 6, y = 3

10.

Solve the pair of simultaneous equation

2a + 4b = 13

a + 3b = 8

a)

a = 4, b = 5

b)

a = 3/2, b = 7/2

c)

a = 5, b = 4

d)

a = 7/2, b = 3/2

11.

Factorise 16x + 32

a)

16(x + 2)

b)

16x(x+ 2)

c)

8x(2 + 4)

d)

8(2x + 4)

12.

Factorise x² + 3x

a)

x²(1+3)

b)

x(x²+3)

c)

x(x+3)

d)

x(x+3x)

13.

Factorise x² + 3x + 2

a)

(x+2)(x+1)

b)

(x+3)(x-1)

c)

(x+2)(x+3)

d)

(x+3)(x+1)

14.

Factorise 16x² - 36

a)

(8x+6)(2x-6)

b)

(4x+6)(4x-6)

c)

(4x+6)(4x+6)

d)

(8x-6)(2x-6)

15.

Solve the quadratic equation

x² + x - 12 = 0

a)

x = -3 or 4

b)

x = 0 or 12

c)

x = -4 or 3

d)

x = 0 or -12

16.

Solve the quadratic equation

4x² - 7x + 3

using the formula

a)

x = 0 or 5/8

b)

x = 1 or 0

c)

x = 3/4 or 5/8

d)

x = 1 or 3/4

17.

Simplify x(x+2)/x²(x-2)

a)

x(x+2)

b)

x(x+2)(x-2)

c)

x(x-2)/x+2

d)

x+2/x(x-2)

18.

Complete the square for

x² - 20x + 10

a)

(x - 10)² - 90

b)

(x - 5)² + 10

c)

(x - 20)² + 10