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Using Algebra in Word Problems — Free MYP2 Mathematics Practice Questions
1QuestionChecking Solutions for Word-Based ExpressionsConcept Practice
2 marks~3 minCriterion A
A rectangle has a width of cm and a length of cm.
The perimeter of a rectangle is given by:
When , calculate the perimeter of the rectangle. Give your answer in centimetres. [2]
The perimeter of a rectangle is given by:
When , calculate the perimeter of the rectangle. Give your answer in centimetres. [2]
Solutions
2QuestionChecking Solutions for Word-Based ExpressionsAssessment Practice
4 marks~6 minCriterion D
A bike shop charges a 20 dollar deposit plus 3 dollars per hour. A student models the total cost in dollars as , where is the number of hours rented, and claims this works for any value of .
a
Identify two real-world limitations of this model. [2]
b
Calculate the cost given by the model for hours and for hours. For one of these durations, explain why the model may not reflect the actual cost. [2]
Solutions
3QuestionCreating Algebraic Expressions from Word ProblemsConcept Practice
2 marks~3 minCriterion B
An L-shaped figure is built from squares. The table shows the pattern.
| Figure number | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Number of squares | 3 | 5 | 7 | 9 |
a
Identify the number of squares in Figure 5. [1]
b
Write an algebraic expression for the number of squares in Figure . [1]
Solutions
4QuestionChecking Solutions for Word-Based ExpressionsConcept Practice
4 marks~6 minCriterion C
A mobile phone plan charges a fixed monthly fee of 40 dollars plus 0.15 dollars per minute of calls. The total monthly cost in dollars is:
where is the number of minutes used.
where is the number of minutes used.
a
State whether a customer who used 200 minutes would pay a total of 65 dollars. Show your substitution. [2]
b
Calculate the total cost for a customer who uses 320 minutes. Show all working. [2]
Solutions
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