22.1 Setting up equations to solve problems

• Mathematics
• Secondary Education

WALT

Set up your own equations and use them to solve worded problems.

TASK A

Make an equation in terms of x and then solve it.

If a number is subtracted from nine the result is -5.

Three times the sum of a number and four gives 150

A number is doubled and then six is added. When this is divided by four, the result is seven. What is the number?

TASK B

Solving more complex problems

A grandfather is six times as old as his grandson. If the grandfather was 45 when his grandson was born, how old is the grandson?

A rectangle of perimeter 74 cm is 7cm longer than it is wide. What is the length of each side.

Amira is twice as old as her cousin Pam. Nine years ago, their combined age was 18. What are their present age?

The age of a man is 24 years more than his son. In two years, the father’s age will be twice that of his son. What are their present age?