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Algebra Basics Introduction
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Name:Date:
Algebra Basics Introduction
Complete each task. Use a letter to stand for an unknown number where needed.
Algebra language
1.Match each term to the best definition.
- Variable
- Constant
- Coefficient
- Expression
- Term
- A letter or symbol that can represent a number
- A single part of an expression, separated by + or −
- Numbers, variables and operations combined without an equals sign
- A number that multiplies a variable
- A fixed number with no variable attached
2.In the expression 6p + 9, identify the expression's variable, coefficient and constant.
3.In the expression 3r − 8, what is the variable?
4.In the expression 3r − 8, what is the coefficient of r?
5.In the expression 3r − 8, what is the constant term?
6.Which option contains a variable?
- 11 + 4
- 9 − 2
- 5t + 6
- 12 ÷ 3
Write expressions
7.Write an algebraic expression for seven times a number k.
8.Write an algebraic expression for a number n decreased by 5.
9.Write an algebraic expression for twice a number q, then add 11.
10.On a mountain hike, Arjun has h snack bars in his pack and Sione gives him 4 more. Write an expression for how many bars Arjun has now.
11.A track map costs $3 to download, plus $2 for each extra route x. Write an expression for the total cost in dollars.
12.A square has side length s metres. Write an expression for its perimeter.
Algebraic notation
13.Which is the standard algebraic way to write 8 multiplied by m?
- 8 + m
- 8m
- m − 8
- 8 ÷ m
14.Rewrite 9 × a using standard algebraic notation.
15.Rewrite 4 × d + 7 using standard algebraic notation.
16.Rewrite 5 × c − 12 using standard algebraic notation.
17.True or false: 7w means 7 multiplied by w.
TrueFalse
18.True or false: 2x + 5 is an equation.
TrueFalse
19.True or false: A variable can stand for different numbers in different problems.
TrueFalse
20.Explain one reason algebra can be useful when planning a mountain hike. Give a specific example using a variable.
3 printable pages
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