Using Algebra in Word Problems
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Using Algebra in Word Problems — Free MYP1 Mathematics Practice Questions

1QuestionChecking Solutions for Word-Based ExpressionsConcept Practice
2 marks~3 minCriterion A
A rectangle has two short sides of (x+3)(x + 3) cm each and two long sides of 2x2x cm each.

A student says the perimeter is (6x+6)(6x + 6) cm.
a
Calculate the perimeter by adding all four sides. [1]
b
Substitute x=4x = 4 into your answer from (a) and into (6x+6)(6x + 6). State whether the student is correct. [1]
Question diagram

Solutions

2QuestionWriting Multi-Step Expressions from SituationsAssessment Practice
4 marks~6 minCriterion C
A rectangle has a length of 10 cm and a width of ww cm.
a
Name the unknown measurement in the rectangle. [1]
b
Describe the expression for the perimeter of the rectangle. [2]
c
Compare the perimeter when w=3w = 3 with the perimeter when w=6w = 6. [1]
Question diagram

Solutions

3QuestionCreating Algebraic Expressions from Word ProblemsConcept Practice
2 marks~3 minCriterion B
A student makes square patterns using tiles. The number of tiles in each pattern follows the sequence:

1, 4, 9, …1, \ 4, \ 9, \ \ldots
a
List the next two numbers in the sequence. [1]
b
Describe the rule for finding the total number of tiles for any side length. [1]
Question diagram

Solutions

4QuestionChecking Solutions for Word-Based ExpressionsConcept Practice
2 marks~3 minCriterion D
You have 20 dollars to spend at a school canteen. A sandwich costs 5 dollars, a juice costs 3 dollars, and a cookie costs 2 dollars.
a
Calculate the correct total cost of one sandwich, one juice, and one cookie. [1]
b
Your classmate says the total is 12 dollars. Describe one reason why checking your answer by substituting the actual prices is useful. [1]

Solutions

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