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Algebraic Expressions Introduction
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Algebraic Expressions Introduction
Read each question carefully. Select all correct answers when asked to choose more than one. Use a letter to represent an unknown number.
Variables, Constants and Expressions
Recognise the parts of an expression and tell expressions apart from equations.
1.Which symbol could stand for a number that is not yet known?
- 14
- m
- −6
- 25
2.In 8p + 11, select all the constants.
- 8
- p
- 11
- +
3.Rawiri has k stickers. What does k represent?
- The number of stickers Rawiri has
- The colour of the stickers
- The number of sticker sheets
- A fixed total of 8 stickers
4.Select every algebraic expression. An expression has no equals sign.
- 6r − 2
- 9 = 9
- 4 + 3 = 7
- 12q
- 5t + 1
5.In the expression 5a − 9, identify the variable.
Writing and Evaluating Expressions
Translate each description into algebra, then substitute values where asked.
6.Write an expression for 7 times a number c.
7.Write an expression for a number d increased by 12.
8.Write an expression for 15 less than a number w.
9.Evaluate 3x + 5 when x = 4.
10.Evaluate 6y − 2 when y = 3.
11.Evaluate 2a + 4 when a = 7.
12.A cinema ticket costs $t. Write an expression for the cost of 3 tickets.
13.Write a real-life situation that could be represented by n + 6.
Understanding Equations
An equation states that two quantities have the same value.
14.What does the equals sign tell you in 4 + 2 = 6?
- The two sides have the same value
- The numbers must be added again
- A number is missing
- The answer is always on the right
15.Choose every equation.
- q + 9
- 5m = 20
- 3 + 8 = 11
- 7b − 4
- 2x + 1 = 13
16.Explain what a variable is and give one reason it is useful in maths.
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