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Algebraic Expressions Basics
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Algebraic Expressions Basics
Read each expression carefully. Show your working where useful. Remember: a term is a part separated by + or − signs, a coefficient multiplies a variable, and a constant has no variable.
Decode the expressions
Use algebra vocabulary to explain what each part means.
1.At the market, an apple costs $x. In the expression 5x + 3, what is the coefficient of x?
- 3
- 5
- x
- 8
2.In 7y − 4, which symbol is the variable?
3.In 2a + 6b − 9, identify the constant term.
- 2
- 6
- −9
- a
4.Which pair are like terms in 4m + 8n − 12 + 3m?
- 4m and 8n
- 8n and −12
- 4m and 3m
- 3m and −12
Simplify and translate
Combine like terms, or turn the words into an algebraic expression.
5.A basket has 3x apples and another has 5x apples. Simplify the expression 3x + 5x.
6.Simplify 7y + 2 + 3y − 1. Show how you combine the variable terms and the constants.
7.Simplify 4a + 6b + 2a − 3b.
8.Write an expression for “three times a number n, then add seven”.
9.An apple costs $x. What is the total cost of 5 apples and a $3 bag fee? Write an expression and explain what each term represents.
10.Mei starts with s stickers, receives 8 more, then gives 3 away. Write and simplify an expression for the number of stickers she has now.
11.A rectangle has length (2x + 5) metres and width (x − 1) metres. For x = 4, calculate the length and width. Include units.
12.Create a short real-life situation represented by 4y + 15. State what y could represent and what 4 and 15 mean.
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