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Algebra Concepts Introduction
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Algebra Concepts Introduction
Use variables and expressions to help organise a school fair. A variable stands for a number that can change; a constant is a fixed number. Show your thinking where needed.
Decode the expressions
Read each expression carefully. Remember: multiplication is often written without a multiplication sign, so 4b means 4 × b.
1.At a fair stall, the cost of one ticket is t dollars. What is the variable in the expression 6t + 2?
- 6
- t
- +
- 2
2.Which expression has a variable as well as numbers and an operation?
- 8 + 5
- 3p − 4
- 12
- 6 × 2
3.A box of fair prizes contains n stickers and 5 badges. Which expression represents the total number of prizes?
4.In the expression 4b + 9, identify the variable and the constant. The 4 is the coefficient: it tells how many lots of b there are.
5.A game costs $3 to play, plus $2 for each turn. If k is the number of turns, write an expression for the total cost in dollars.
6.Each prize bag contains the same unknown number of tokens, represented by x. Write an expression for the number of tokens in 3 bags and 4 extra tokens.
7.True or false: In 7 + m, the number 7 is a constant because it does not change, while m is a variable.
TrueFalse
8.At the fair, Maia has x raffle tickets and receives 3 more. Explain in words what x + 3 means.
9.A friend says 5a means 5 + a. Is this correct?
10.Create an expression for a fair activity using one variable and one constant. Then label the variable, the constant, and what each represents in your scenario.
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