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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 3 cm and x cm, giving an area of 3x cm².
a
Identify the variable in the expression 3x. [1]
b
The number 3 in 3x is called a coefficient — a number that multiplies a variable. State the value of the coefficient. [1]
Solutions
2QuestionBuilding Expressions from Verbal DescriptionsAssessment Practice
2 marks~3 minCriterion D
A fruit seller uses the expression
3a+2b=5.50
where a is the cost of one apple (in dollars) and b 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]
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 (n)
1
2
3
4
Total cost (C) in dollars
3
5
7
9
a
Identify the expression for C in terms of n. [1]
b
Calculate the total cost when n=5. [1]
Solutions
4QuestionRecognizing Like and Unlike TermsAssessment Practice
6 marks~9 minCriterion C
Tom buys apples at a dollars each and bananas at b dollars each. He writes his total cost as 3a+2b+5a and simplifies it to 5a+5b.
a
Identify the error in Tom's simplification. [1]
b
Explain why 3a and 2b cannot be combined. In your answer, refer to what a and b represent. [2]
c
Compare the correct total cost with Tom's incorrect total cost when a=2 and b=3. State whether Tom overestimates or underestimates, and describe one practical consequence. [3]