Look at the following examples to see how algebraic expressions can be used to represent word problems.
Katie eats a cookies and her brother Freddie eats 5 more than Katie.
We can write this as an algebraic expression:
Freddie eats a + 5 cookies.
There are x number of sheep in a field and y number of cows.
The farmer doubles the number of sheep.
How many animals are there in the field now? Write this as an algebraic expression.
There are now 2x + y animals in the field.
In the questions that follow, we're going to practise using algebra to express word problems.
Here is a list of some of the most important ways to express word problems using algebra. Have a read through and then we'll start on the questions.
|a + 4||4 more than a|
|a - 4||4 less than a|
|4 - a||a less than 4|
|4a||4 times a|
|a/4||a ÷ 4 or ¼ of a|
|3a + 4||4 more than 3 times a|
|a/2 - 6||6 less than half of a|