Introduction to Variables and Constants
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Introduction to Variables and Constants — Free MYP2 Mathematics Practice Questions

1QuestionDefining Constants and CoefficientsConcept Practice
2 marks~3 minCriterion A
A rectangle has side lengths of 33 cm and xx cm, giving an area of 3x3x cm².
a
Identify the variable in the expression 3x3x. [1]
b
The number 33 in 3x3x is called a coefficient — a number that multiplies a variable. State the value of the coefficient. [1]
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Solutions

2QuestionBuilding Expressions from Verbal DescriptionsAssessment Practice
2 marks~3 minCriterion D
A fruit seller uses the expression

3a+2b=5.503a + 2b = 5.50

where aa is the cost of one apple (in dollars) and bb is the cost of one banana (in dollars).

Explain one real-world limitation of using this expression to model the fruit seller's prices. [2]
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Solutions

3QuestionBuilding Expressions from Verbal DescriptionsConcept Practice
2 marks~3 minCriterion B
Each apple costs 2 dollars and there is a fixed fee of 1 dollar.

Number of apples (nn)1234
Total cost (CC) in dollars3579
a
Identify the expression for CC in terms of nn. [1]
b
Calculate the total cost when n=5n = 5. [1]

Solutions

4QuestionRecognizing Like and Unlike TermsAssessment Practice
6 marks~9 minCriterion C
Tom buys apples at aa dollars each and bananas at bb dollars each. He writes his total cost as 3a+2b+5a3a + 2b + 5a and simplifies it to 5a+5b5a + 5b.
a
Identify the error in Tom's simplification. [1]
b
Explain why 3a3a and 2b2b cannot be combined. In your answer, refer to what aa and bb represent. [2]
c
Compare the correct total cost with Tom's incorrect total cost when a=2a = 2 and b=3b = 3. State whether Tom overestimates or underestimates, and describe one practical consequence. [3]
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Solutions

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