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Introduction to Variables
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Introduction to Variables
Use letters to stand for numbers. Show working when evaluating expressions.
Understanding Variables
1.Which statement best describes a variable in algebra?
- A letter that can represent a number
- A sign that always means addition
- A number that cannot change
- A tool used to measure angles
2.Choose every item that is a variable: p, 9, q, −, r, 14.
3.In the expression 6t + 11, identify the variable, the coefficient and the constant.
Spotting Variables in Expressions
4.List all the variables in each expression or equation: 4k − 3; 2u + 5v; and c + d = 18.
Expression
Variable letter(s)
Numerical parts (coefficients and constants)
7m + 4
5a − 2b + 9
5.Match each expression to its description.
- n + 7
- 3w
- h − 4
- 2j + 6
- A number less 4
- A number multiplied by 3
- A number plus 7
- Twice a number, then add 6
Writing Expressions with Variables
6.Write an algebraic expression for each description. Use x for the number: a) 9 more than a number; b) 4 times a number; c) a number reduced by 13; d) 3 times a number, then add 2.
7.Write an expression for each situation: a) A ticket costs $8. What is the cost of p tickets? b) A cyclist rides d kilometres and then another 6 kilometres. What is the total distance? c) Maia is a years old. How old will she be in 4 years?
Substituting Values
8.When x = 5, evaluate each expression: a) x + 8; b) 4x; c) 3x − 7.
9.When y = 7 and z = 3, evaluate each expression: a) y + z; b) y − z; c) 2y + 4z.
Explain and Represent
10.A box contains an unknown number of counters. Write an expression for the total number of counters if 8 more are added. Use c for the number already in the box.
11.Give two ways variables help people describe or work with numbers in mathematics.
3 printable pages
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