Substitution into Expressions and Formulae
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Substitution into Expressions and Formulae — Free MYP1 Mathematics Practice Questions

1QuestionEvaluating Algebraic Formulas with Given ValuesConcept Practice
3 marks~5 minCriterion A
A rectangular garden has a length of 8 m and a width of 5 m. The perimeter is found using

P=2l+2wP = 2l + 2w

where ll is the length and ww is the width.
a
State the value of ll and the value of ww for this garden. [1]
b
Calculate the perimeter PP of the garden. Show your working. [2]
Question diagram

Solutions

2QuestionSolving Problems Using Substitution TechniquesAssessment Practice
2 marks~3 minCriterion D
Your class is planning a picnic. The total cost in dollars is:

Total cost=8×number of students+15\text{Total cost} = 8 \times \text{number of students} + 15

The $15 is a fixed booking fee. The $8 covers food and drinks for each student.

Describe one reason why this formula may give the wrong total cost if some students bring their own lunch. [2]
Question diagram

Solutions

3QuestionUsing Substitution in Real-World FormulaeConcept Practice
4 marks~6 minCriterion B
A savings account uses the formula I=P×R×TI = P \times R \times T, where II is the interest earned.

Account details:
Starting amount: 500 dollars
Interest rate: 3
Time: 2 years
a
Name what PP, RR, and TT stand for in this formula. [1]
b
Describe what happens to II when you substitute P=500P = 500, R=3R = 3, and T=2T = 2 into the formula. [1]
c
Compare the interest earned when T=2T = 2 and when T=4T = 4. What do you notice? [2]
Question diagram

Solutions

4QuestionUsing Substitution in Real-World FormulaeConcept Practice
2 marks~3 minCriterion C
A rectangular garden has a length ll and a width ww.
a
State the formula for the perimeter PP of the rectangle, using ll and ww. [1]
b
Describe what the number 2 represents in the formula P=2l+2wP = 2l + 2w. [1]

Solutions

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