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Introduction to Variables

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Introduction to Variables

Variables are letters that stand for numbers. Help plan a pop-up market by decoding expressions, testing values and writing rules. Show your thinking where you can.

Read the code

In an expression, a coefficient is the number multiplying a variable, and a constant is a number on its own.

1.A stall charges $4 per smoothie, plus a one-off $3 cup deposit. Which expression gives the cost for s smoothies?

4 + 3s
4s + 3
7s
4s − 3

2.In 7p − 5, identify the variable, coefficient and constant. Remember that the constant includes its sign.

3.Which expression means “twice the number of cupcakes c, then add 6 more”?

2(c + 6)
c + 2 + 6
2c + 6
6c + 2

4.Use the smoothie-cost rule from the first question to find the cost when s = 5. Show the substitution and calculate the result.

5.The expression 3n + 8 describes the total number of raffle tickets after starting with 8 and adding 3 tickets for each bundle. Complete: the variable is .

6.The expression 3n + 8 describes the total number of raffle tickets after starting with 8 and adding 3 tickets for each bundle. Complete: the coefficient is .

7.The expression 3n + 8 describes the total number of raffle tickets after starting with 8 and adding 3 tickets for each bundle. Complete: the constant is .

Spot the pattern

Use the number line to think about how an expression changes as its variable increases. Each step to the right adds 1.

8.For the rule 2n + 1, find the value when n = 0, 1 and 2. What changes in the answer each time n increases by 1?

9.True or false: In 9 + 2x, the coefficient of x is 2 and the constant is 9. Explain your choice.

10.A market game gives each player t tokens. Write an expression for the tokens held by 4 players altogether, then find the total if t = 6.

11.Mere buys 3 bags of apples at a dollars per bag and spends another $2 on a pear. Write an expression for her total cost. State what a, 3 and 2 represent.

12.Write a real-life situation that could be represented by 5x − 2. Explain what x and the numbers 5 and 2 could mean.

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Year 7–8

Introduction to Variables

Introduction to Variables

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Spot the pattern

2 printable pages

About This Worksheet

Free in Kuraplan

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AI-Generated

For Teachers & Parents

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