Equations with Brackets and Fractions
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Equations with Brackets and Fractions — Free MYP1 Mathematics Practice Questions

1QuestionExpanding Brackets Before SolvingConcept Practice
2 marks~3 minCriterion A
A rectangle has side lengths of (x+3)(x + 3) cm and 55 cm. Its perimeter is 3636 cm.
a
Write an equation for the perimeter of the rectangle. [1]
b
Expand the brackets and solve for xx. Show all your working. [1]
Question diagram

Solutions

2QuestionClearing Fractions in EquationsConcept Practice
2 marks~3 minCriterion D
Three friends share a pizza bill equally. Each person pays 13\frac{1}{3} of the total cost.
a
Give an example of a real-life situation where you would need to solve an equation with fractions. [1]
b
Describe one reason why the answer from your equation might not work perfectly in real life. [1]

Solutions

3QuestionClearing Fractions in EquationsConcept Practice
2 marks~3 minCriterion B
Look at these equations and their solutions.

x2=4⇒x=8\dfrac{x}{2} = 4 \Rightarrow x = 8 \quad x3=6⇒x=18\dfrac{x}{3} = 6 \Rightarrow x = 18 \quad x4=8⇒x=32\dfrac{x}{4} = 8 \Rightarrow x = 32 \quad x5=10⇒x=50\dfrac{x}{5} = 10 \Rightarrow x = 50
a
Identify the pattern that connects the bottom number and the right-hand side number to the solution for xx. [1]
b
Calculate the solution for x6=12\dfrac{x}{6} = 12. Show your working. [1]

Solutions

4QuestionClearing Fractions in EquationsConcept Practice
2 marks~3 minCriterion C
Look at the equation below.

x3+12=5\frac{x}{3} + \frac{1}{2} = 5
a
State what the least common denominator (LCD) means. [1]
b
Identify the LCD of the equation above. [1]

Solutions

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