Writing and Interpreting Algebraic Expressions
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Writing and Interpreting Algebraic Expressions — Free MYP2 Mathematics Practice Questions

1QuestionForming Expressions with Multiple TermsConcept Practice
2 marks~3 minCriterion B
The table below shows the number of unit squares in square grids of increasing size.

Side length (nn)123
Number of unit squares149
a
Identify the pattern shown in the table. [1]
b
Write an algebraic expression for the total number of unit squares in an n×nn \times n grid. [1]
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Solutions

2QuestionCreating Expressions from Situational ProblemsAssessment Practice
5 marks~8 minCriterion D
A student runs a school bake sale, selling brownies for 1.501.50 each and cookies for 0.750.75 each. The expression 1.5b+0.75c1.5b + 0.75c models the total amount raised in dollars, where bb is the number of brownies and cc is the number of cookies sold. A rounded version, 2b+c2b + c, is used to estimate the total quickly.

The student sells 1212 brownies and 2020 cookies. The pizza party costs 4545 dollars.
a
Calculate the actual total raised using 1.5b+0.75c1.5b + 0.75c. [1]
b
Calculate the estimated total using 2b+c2b + c. State whether each model suggests the student has raised enough for the pizza party. [2]
c
Compare the two models and explain how rounding could lead to a wrong decision about buying the pizza party. [2]
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Solutions

3QuestionInterpreting Algebraic Expressions in ContextConcept Practice
2 marks~3 minCriterion C
A café's daily profit (in dollars) is modelled by the expression 3.50x−253.50x - 25, where xx is the number of smoothies sold.
a
Identify what the values 3.503.50 and 2525 each represent in this context. [1]
b
Calculate the profit when x=20x = 20, showing your working. [1]
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Solutions

4QuestionConstructing Expressions with BracketsConcept Practice
3 marks~5 minCriterion A
A party organiser uses the relationship:

Cost=50+15×(number of guests)\text{Cost} = 50 + 15 \times (\text{number of guests})

where Cost is in dollars. Guests are seated equally across 4 tables, with nn guests per table.
a
State the total number of guests in terms of nn. [1]
b
Write an algebraic expression with brackets for the total cost in terms of nn. [1]
c
A second venue charges a total cost of 50+15(5n)50 + 15(5n) dollars. Explain which venue costs more when n=3n = 3, showing your working. [1]
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Solutions

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