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Introduction to Algebraic Expressions
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Introduction to Algebraic Expressions
An algebraic expression combines numbers, operations and variables. A variable is a letter standing for a value that can change. A coefficient multiplies a variable, and a constant is a number without a variable.
Recognise the parts
Identify variables, coefficients and constants in algebraic expressions.
1.In the expression 8p + 5, which symbol is the variable?
- 8
- p
- 5
2.What is the coefficient of q in 9q − 2?
- q
- 9
- 2
3.Select every constant in the expression 4r + 11 − s.
- 4
- r
- 11
- s
4.In 7b + 13, write the coefficient first and the constant second.
Turn words into expressions
Use the information in each situation to write or identify an algebraic expression.
5.At a train station, a ticket costs $6. Omar buys t tickets. Write an expression for the total cost in dollars.
6.Kirra has 24 minutes before her train departs. If she uses m minutes to buy a snack, write an expression for the minutes she has left.
7.A train journey has e express stops worth 5 minutes each and l local stops worth 2 minutes each. Write an expression for the total stopping time in minutes.
8.Choose the expression for this instruction: multiply a number n by 3, then subtract 8.
- 3n − 8
- 3(n − 8)
- 8n − 3
9.In the expression 6t for the ticket purchase, what quantity does t stand for?
10.Lachlan buys n single-use travel cards for $4 each, then pays a $3 card fee. Write an expression for the total cost in dollars.
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