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Algebra Language Basics
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Algebra Language Basics
Hemi, Mere and Ngaio are helping plan a visit. Use the algebra language in each question. Show your thinking where needed.
Decode the language
Algebra uses symbols to describe numbers and relationships.
1.At the visit, the number of visitors is not known yet. Which statement best describes a variable such as n?
- A symbol that can represent an unknown or changing number
- A number that must always stay the same
- An operation such as multiplication
- A complete answer to an equation
2.In the expression 4p + 7, identify the variable, the coefficient and the constant.
3.Mere writes 3k − 5 to describe a calculation. True or false: 3k − 5 is an expression, because it has no equals sign.
4.Match each algebra word to the best description.
- constant
- coefficient
- equation
- term
- The number multiplying a variable
- One part of an expression separated by + or −
- A statement that two expressions are equal
- A fixed number
5.Ngaio uses x to stand for the number of visitors. Which of these are algebraic expressions? Select all that apply: 2x + 6, x = 12, 9, 5 − x.
Translate the plan
Turn everyday descriptions into concise algebra.
6.Each visitor receives b printed booklets. Write an expression for the number of booklets needed for 18 visitors.
7.The group has $a to spend on supplies and uses $14. Write an expression for the money left.
8.There are 6 tables, with t chairs at each table. Write an expression for the total number of chairs, then identify its coefficient and variable.
9.A minibus seats m visitors. Explain what 2m represents in this visit and why it does not mean m + 2.
10.Create an expression for the total cost of n entry tickets at $8 each, plus one shared $25 transport fee. State what n represents.
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