Primary School · Mathematics

Simple equations (Basic Concepts): Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Simple equations (Basic Concepts).

10 questions23 marksFree, no account

Question 1

1 mark

Solve the following simple equation to find the value of \( x \):
\( x + 19 = 52 \)

Question 2

1 mark

Consider the equation \( 12 = \frac{x}{5} \). If we multiply both sides of the equation by 5 to find the value of \( x \), what is the resulting value of \( x \)?

Question 3

1 mark

Solve the following equation for \(k\):
\(5k + 12 = 47\)

Question 4

1 mark

Solve the following simple equation for \(x\):
\(x + 12 = 35\)

Question 5

1 mark

Solve the following simple equation to find the value of \(w\):
\(w - 38 = 54\)

Question 6

2 marks

Solve the following equation to find the value of \(y\):
\(y + 18 = 42\)

Write your answer out first, then check it against the worked solution.

Question 7

3 marks

Solve the equation below to find the value of y:
\( 7y = 63 \)

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Question 8

5 marks

A rectangular playground has a length of 20 m and a width of \( w \) m. If the total perimeter is 70 m, solve the equation \( 2(20 + w) = 70 \) to find the width.

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Question 9

3 marks

Solve the following simple equations to find the value of the unknown:
(a) \( x + 18 = 45 \)
(b) \( \frac{y}{6} = 12 \)
(c) \( 9k = 72 \)

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Question 10

5 marks

A rectangular garden has a perimeter of 48 metres. The length of the garden is 14 metres. Let \( w \) represent the width of the garden in metres.

(a) Using the formula for perimeter \( P = 2(L + w) \), write an equation to find the width.
(b) Solve the equation to find the value of \( w \).
(c) If the owner decides to increase the width by 3 metres, what will be the new area of the garden?

Write your answer out first, then check it against the worked solution.

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