Building and Solving Equations from Word Problems
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Building and Solving Equations from Word Problems — Free MYP1 Mathematics Practice Questions

1QuestionChecking Solutions in the Context of the ProblemConcept Practice
2 marks~3 minCriterion A
A rectangle has a width of xx cm and a length of (x+2)(x + 2) cm. Its perimeter is 20 cm.
a
Write an equation for the perimeter of the rectangle in terms of xx. [1]
b
Calculate the value of xx and state whether both side lengths are positive. [1]
Question diagram

Solutions

2QuestionTranslating Word Problems into EquationsAssessment Practice
2 marks~3 minCriterion D
A student has exactly 50 dollars to spend on notebooks at 3 dollars each and pens at 2 dollars each. The equation 3x+2y=503x + 2y = 50 models this situation.
a
Identify one limitation of using this equation in a real shopping situation. [1]
b
Describe how this limitation changes what the student can actually buy. [1]
Question diagram

Solutions

3QuestionCreating and Solving Multi-Step Word ProblemsConcept Practice
2 marks~3 minCriterion B
Look at these sums of three consecutive numbers:

1+2+3=61 + 2 + 3 = 6

2+3+4=92 + 3 + 4 = 9

3+4+5=123 + 4 + 5 = 12

4+5+6=154 + 5 + 6 = 15
a
Identify the relationship between each sum and the middle number. [1]
b
Use this relationship to state the value of 7+8+97 + 8 + 9 without adding the numbers. [1]

Solutions

4QuestionChecking Solutions in the Context of the ProblemConcept Practice
4 marks~6 minCriterion C
A student says the answer to "Twice a number plus 5 is 17" is x=6x = 6.
a
Identify the value of 2x+52x + 5 when x=6x = 6. [1]
b
State whether x=6x = 6 is correct. [1]
c
Describe in one sentence why x=6x = 6 does or does not make sense as the answer to the problem. [2]

Solutions

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