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Worksheets

Equations

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.

Solve the following equation for w:

3w = 12

a)

w = 4

b)

w = 6

c)

w = 12

d)

w = 36

2.

Solve for y:

y - 15 = 46

a)

y = 31

b)

y = 41

c)

y = 51

d)

y = 61

3.

Solve for z:

17 - z = 6

a)

z = 9

b)

z = 11

c)

z = 23

d)

z = -9

4.

Solve for d:

8d = 10

a)

d = 0.8

b)

d = 1.2

c)

d = 1.25

d)

d = 80

5.

Solve for e:

e2 = 9

a)

e = 3

b)

e = 4.5

c)

e = 9

d)

e = 81

6.

Mike has £10 and pays £x for a model aeroplane. He is left with £4.25. Form the equation for this information.

a)

x + 10 = 4.25

b)

x - 10 = 4.25

c)

10 + x = 4.25

d)

10 - x = 4.25

7.

Work out the value of f:

4f + 12 = 40

a)

f = 52

b)

f = 28

c)

f = 13

d)

f = 7

8.

Solve for g:

24 + g = 13

a)

g = 37

b)

g = 11

c)

g = -11

d)

g = -37

9.

Solve for j:

5 - j = 9

a)

j = 4

b)

j = -4

c)

j = 14

d)

j = -14

10.

Solve for n:

2(n - 5) = 6

a)

n = 12

b)

n = 8

c)

n = 7

d)

n = 17

11.

Solve for k:

23 = 8k + 3

a)

k = 3.25

b)

k = 2.5

c)

k = -2.5

d)

k = -3.25

12.

Solve for m:

2m = m + 3

a)

m = 1.5

b)

m = 3

c)

m = 6

d)

m = -3

13.

Solve for h:

-6 - h = 2

a)

h = 8

b)

h = -4

c)

h = -6

d)

h = -8

14.

Tony has £20 and he gives 3 friends £p each for a bag of sweets. He ends up with £12.50. Form the simplified equation for this information:

a)

20 - p = 12.50

b)

20 - 2p = 12.50

c)

20 - 3p = 12.50

d)

20 - 4p = 12.50

15.

Stephen thinks of two integers. One is five larger than the other. If the sum of the two numbers is 23, what is the smaller number?

a)

28

b)

18

c)

14

d)

9

16.

Jane thinks of 2 integers. One number is 3 times bigger than the other one. If the sum of the two numbers is 36, work out the smaller number.

a)

12

b)

10

c)

9

d)

6

17.

Clare and Eleanor share 24 sweets. Clare has double the number Eleanor has. How many does Clare have?

a)

24

b)

18

c)

16

d)

12

18.

William opens his wallet and gives Jack £7 and also Sally £4.50. If he has £6.25 left, how much did he have before giving any money away?

a)

£17.75

b)

£13.25

c)

£11.50

d)

£10.75

19.

Each side of an equilateral triangle has length 3r + 4 cm. If the perimeter of the triangle is 57cm, find the value of r.

a)

r = 19

b)

r = 15

c)

r = 5

d)

r = 3

20.

Sam and Jo each think of a whole number. The sum of their numbers is 38. The difference between their numbers is 4. Work out the larger of the two numbers.

a)

34

b)

24

c)

21

d)

20

21.

If k = d + f, work out what f = ?

a)

f = k - d

b)

f = k + d

c)

f = d - k

d)

f = -d - k

22.

If g = 2c + d, work out what c = ?

a)

c = g - d ÷ 2

b)

c = (g - d) ÷ 2

c)

c = g - (d ÷ 2)

d)

c = (g - d ÷ 2)

23.

The area of an address label is 12.5 cm2. The length measures 2.5cm. Work out the width.

a)

10.5 cm

b)

6 cm

c)

5 cm

d)

4 cm

24.

The perimeter of Joe's lawn is 48 metres. The width is 11 metres. Work out the length.

a)

37 m

b)

24 m

c)

18.5 m

d)

13 m

25.

In Science, momentum = mass x velocity. Edward throws a cricket ball so that it has a momentum of 15. The mass of a cricket ball is 0.5. Work out the velocity.

a)

30

b)

14.5

c)

7.5

d)

3