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Algebraic Patterns and Expressions — Free MYP2 Mathematics Practice Questions
1QuestionCreating Expressions from PatternsConcept Practice
2 marks~3 minCriterion A
You run a lemonade stand. Each cup costs 0.50 dollars to make, and a permit costs a fixed 2.00 dollars.
| Number of cups sold () | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Total cost ( in dollars) | 2.50 | 3.00 | 3.50 | 4.00 |
a
State an expression for the total cost in terms of . [1]
b
Explain why this expression would no longer be valid if the cost per cup increased to 0.75 dollars. [1]
Solutions
2QuestionEvaluating Expressions Derived from PatternsAssessment Practice
4 marks~6 minCriterion D
A student designs a tile walkway where the number of tiles in figure is given by . Due to material constraints, any figure can have a maximum of 20 tiles.
a
Calculate the number of tiles in figure 6. [1]
b
Explain whether the expression is valid for figure 10. [2]
c
Compare the mathematical prediction for figure 10 with the real-world constraint. [1]
Solutions
3QuestionForming Rules from Visual SequencesConcept Practice
2 marks~3 minCriterion B
The diagram shows the first three patterns in a sequence of square tile arrangements.
Pattern 1: (1 tile) Pattern 2: (4 tiles) Pattern 3: (9 tiles)
Pattern 1: (1 tile) Pattern 2: (4 tiles) Pattern 3: (9 tiles)
a
Identify the number of tiles in Pattern 4. [1]
b
Write an expression for the number of tiles in Pattern . [1]
Solutions
4QuestionUsing Letters to Represent NumbersConcept Practice
2 marks~3 minCriterion C
A school canteen sells bottles of juice and bags of crisps. Layla does not know the individual prices, so she uses to represent the cost of one juice bottle and to represent the cost of one bag of crisps.
a
Identify what the expression represents in this context. [1]
b
Explain one reason why using variables and is helpful here. [1]
Solutions
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