Writing and Interpreting Algebraic Expressions
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Writing and Interpreting Algebraic Expressions — Free MYP1 Mathematics Practice Questions

1QuestionCreating Expressions from Situational ProblemsConcept Practice
2 marks~3 minCriterion B
A shop arranges square tiles in a growing pattern.

Pattern 1: 1 tile
Pattern 2: 3 tiles
Pattern 3: 5 tiles
Pattern 4: 7 tiles
a
State the number of tiles in Pattern 5. [1]
b
Write an expression for the number of tiles in Pattern nn. [1]
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Solutions

2QuestionConstructing Expressions with BracketsAssessment Practice
3 marks~5 minCriterion C
You are buying packs of stickers and packs of pencils for a party. Each pack of stickers has 3 stickers. Each pack of pencils has 2 pencils. You buy 4 packs of stickers and 5 packs of pencils, then give away 2 packs of stickers.
a
Write an expression with brackets that shows the total number of stickers and pencils you have left after giving away the sticker packs. [1]
b
Describe what the brackets in your expression tell you to do first, and why this matters. [1]
c
A friend works out the total without brackets, getting the answer 8. Compare this with your answer and describe what your friend calculated incorrectly. [1]
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Solutions

3QuestionConstructing Expressions with BracketsConcept Practice
2 marks~3 minCriterion A
A rectangle has a length of (x+3)(x + 3) cm and a width of 55 cm.

Its perimeter is given by 2(x+3)+2(5)2(x + 3) + 2(5).

Calculate the perimeter of the rectangle when x=4x = 4. [2]
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4QuestionConstructing Expressions with BracketsAssessment Practice
4 marks~6 minCriterion D
A rectangular garden has length ll metres and width ww metres. A semicircular flower bed is attached to one of the shorter sides, replacing that side with a curved edge.
a
Name the measurement that the curved edge replaces. [1]
b
Give an example of what the total perimeter of the garden looks like as an expression, using brackets, when the curved edge is included. [2]
c
Describe one way the expression with the curved edge gives a different result from the plain rectangle formula 2(l+w)2(l + w). [1]
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Solutions

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