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Introduction to Algebra
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Introduction to Algebra
Show your working where useful. Use a letter to represent an unknown number.
Algebra language
1.Match each algebra term to its meaning.
- Variable
- Constant
- Expression
- A number with a fixed value
- A letter used to stand for a number
- Numbers, variables and operations combined
2.Which option is the usual algebraic way to write three multiplied by x?
- 3 × x
- 3x
- 3 * x
- x3
3.In 6m + 9, state the variable, the constant, and the coefficient of m.
Writing and evaluating expressions
4.Write an algebraic expression for a number t increased by 11.
5.Write an algebraic expression for seven times a number k.
6.Write an algebraic expression for a number r decreased by 4.
7.Write an algebraic expression for twice a number p, then add 13.
8.A school group buys h hot pies for $5 each. Write an expression for the total cost in dollars.
9.A cyclist travels 12 km, then rides another d kilometres. Write an expression for the total distance travelled.
10.Nikau is currently a years old. Write an expression for her age in 6 years.
11.Evaluate x + 8 when x = 5.
12.Evaluate 4x when x = 5.
13.Evaluate 3x - 2 when x = 5.
Algebra challenge
14.A rectangle has length w metres and width 6 metres. Write an expression for its perimeter.
15.For the same rectangle, with length w metres and width 6 metres, write an expression for its area.
16.In your own words, explain why algebra uses letters such as x to represent numbers.
17.Invent a word problem whose total can be represented by 3n + 7. Write your problem in the space provided.
3 printable pages
Page 1
Page 2
Page 3
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