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Algebra Variables and Constants
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Algebra Variables and Constants
For each question, identify variables and constants or write an algebraic expression. Use a letter for an unknown amount.
Recognising Variables and Constants
1.Which items are variables? Select all that apply: p, 14, q, 3.
- p
- 14
- q
- 3
2.In the expression 6n + 11, which number is the constant term?
- 6
- n
- 11
- 6n
3.What does the equals sign tell you in an equation such as 4 + 2 = 6?
- The two sides have the same value
- The number on the right is always larger
- The values should be added again
- A variable has been found
4.List the constant terms in the expression 5a − 8 + 2b + 13.
5.Match each algebra term to its description.
- r
- 9
- 7t
- =
- A coefficient multiplied by a variable
- A letter whose value can vary
- A symbol showing that two values are equal
- A fixed number
Writing and Reading Expressions
6.At the canteen, Tui has c cheese rolls and buys 6 more. Write an expression for the number of rolls Tui has now.
7.Rawiri buys b lunch packs, with 4 sandwiches in each pack. Write an expression for the total number of sandwiches.
8.For each expression, identify its variable or variables and its constant term, if there is one.
x + 15 — variables: ________ constant term: ________
7k − 3 — variables: ________ constant term: ________
2u + 5v + 8 — variables: ________ constant term: ________
9z — variables: ________ constant term: ________
Algebra in Context
9.Zoe puts $12 into her canteen account each week. Write an expression for the amount she adds after w weeks, then say what w represents.
10.A rectangular serving tray is 9 cm long and has a width of x cm. Write an expression for its perimeter.
11.Explain how a variable differs from a constant in an algebraic expression. Include one example of each.
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