Create and solve simple equations test questions

1

Mrs Brown goes to the green grocers to buy strawberries to make jam.

She buys 4 bags with \(x\) strawberries in each.

When she opens the bags she realises that 7 strawberries are bruised.

She could only use 33 strawberries.

Use this information to create an equation and solve how many strawberries were in each bag.

2

At the school fete, Tom decides to sell stickers in bags.

He has p bags and in each there are 22 stickers.

His friend has 9 stickers and he gives them to Tom.

Tom actually has 119 stickers.

Use this information to create an equation and solve it to find the number of bags of stickers he has to sell at the fete.

3

Zia wants to rent a boat.

It costs £12 upfront then she is charged a set hourly rate.

It cost her £172 to rent the boat for 8 hours.

Create an equation and solve it to find out the hourly rate.

4

Abby gets paid £8 to wash a car.

In one week she received a £16 bonus.

Her total earnings that week were £80.

Create an equation and solve it to find out how many cars Abby washed that week.

5

Two numbers added together equal 20.

One of the numbers exceeds the other by 4.

Create an equation and solve it to find the two numbers.

6

Jake takes \(£x\) to spend at the arcade.

Justin takes 3 times this amount.

Jack takes \( £6\) more than Jake.

Altogether they take \( £41\).

Set up an equation to represent this information.

Solve it to find out how much money Jake took to the arcade.

7

Rosie spent \( x\) minutes studying on Monday.

On Tuesday she spent double this time.

On Wednesday she spent 20 minutes more than she did on Monday.

Over the three days she spent 180 minutes in total studying.

Set up an equation to represent this information and calculate how many minutes she studied on Monday.

8

Amir shared £44 with his brother.

Amir kept £12 more than his brother.

Set up an equation to represent this information and calculate how much Amir gave his brother.

9

Zack is \(x\) years old.

His sister Beth is 3 years younger than him.

Together their ages add up to 11.

Set up an equation to represent this information and calculate Zack’s age.

10

Katy gets paid £6 per hour.

She got an extra £20 bonus last week.

She earned £110 last week.

Set up an equation to represent this information and calculate how many hours Katy worked last week.