Primary School · Mathematics

Simple equations (Basic): Practice Questions

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

10 questions22 marksFree, no account

Question 1

1 mark

Solve the equation \( m - 46 = 28 \) to find the value of m.

Question 2

1 mark

Solve the following equation:
\( 3x + 8 = 29 \)

Question 3

1 mark

A rope of length \(72 \text{ cm}\) is cut into two pieces. The longer piece is \(12 \text{ cm}\) longer than twice the length of the shorter piece \(x\). Solve the equation \(x + (2x + 12) = 72\) to find the length of the shorter piece.

Question 4

1 mark

Find the value of x in the equation \(x + 19 = 42\).

Question 5

1 mark

Solve the equation for \(x\):
\(\frac{2}{3}x - 4 = 10\)

Question 6

2 marks

Solve the following equation to find the value of x:
\( x - 15 = 27 \)

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

Question 7

3 marks

Find the value of k by solving the equation \( 2.5k + 10 = 35 \).

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Question 8

5 marks

Find the value of \(d\) in the equation \(3(d - 5) = 12\).

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Question 9

3 marks

A toy car costs \(x\) dollars. Sam buys the car and pays with a \$50 note. He receives \$12 in change.
(a) Write an equation to represent the situation using \(x\).
(b) Find the cost of the toy car by solving for \(x\).

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Question 10

4 marks

A group of 4 friends went to a theme park. They each bought an admission ticket and then shared a snack platter that cost $52. If the total amount spent by the group was $320:
a) Let \(t\) be the price of one admission ticket. Write an equation to represent the total amount spent by the group.
b) Solve the equation to find the price of one admission ticket.
c) If a weekend ticket is $15 more expensive than a weekday ticket, and \(t\) is the price of a weekday ticket, what is the price of one weekend ticket?

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

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