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Variables and Constants

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Variables and Constants

A variable is a letter that stands for a number. A coefficient is a number multiplied by a variable. A constant term is a number without a variable. In expressions such as 4x, the number 4 is the coefficient of x.

Spot the variables and constants

Identify the variable, coefficient, and constant term where present in each expression or equation.

1.In 8 + p = 19, identify the variable and the constant terms.
2.In 5q − 4 = 11, name the variable, coefficient, and constant terms.
3.In 6 + 10 = 16, is there a variable? Name the constant terms.
4.In 3r + 9, identify the variable, coefficient, and constant term.
5.Which of these symbols are variables? Select every correct answer.
  • a
  • 12
  • k
  • 0
  • t
6.Explain how a variable differs from a constant.

Substitute and calculate

Replace the variable with the given value, then work out the result. Remember that 4x means 4 multiplied by x.

7.Replace x with five. What is the value of x + 6?
8.Replace x with five. What is the value of 3x?
9.Replace x with five. What is the value of x + 8?
10.Replace x with five and calculate 4x − 3.
11.If y = 7, calculate y − 3.
12.If y = 7, calculate 2y + 5.

n

3n + 2

2

8

4

14

6

20

Make and use expressions

Write expressions using variables, then apply them to a real situation.

13.Write an expression containing exactly one variable and one number constant. Many answers are possible.
14.Write an expression containing exactly one variable and two number constants. Many answers are possible.
15.A fruit stall charges $4 for each pear and adds a $3 packing fee. Let p represent the number of pears. Write an expression for the total cost in dollars.
16.For the pear-stall cost expression, identify the coefficient and the constant term.
17.Using the pear-stall cost expression, find the total cost when p = 5 pears.
18.Find the value of x that makes 3x + 4 = 19 true.

3 printable pages

  • Variables and Constants, page 1 of 3: Spot the variables and constants

    Page 1

  • Variables and Constants, page 2 of 3: Substitute and calculate

    Page 2

  • Variables and Constants, page 3 of 3: Make and use expressions

    Page 3

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