Solving One-Step and Two-Step Equations
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Solving One-Step and Two-Step Equations — Free MYP3 Mathematics Practice Questions

1QuestionSolving Equations with Decimals and FractionsConcept Practice
2 marks~3 minCriterion A
A rectangle has side lengths of 2.5x2.5x cm and 4.24.2 cm. Its perimeter is 20.620.6 cm.

The perimeter of a rectangle is given by P=2(length+width)P = 2(\text{length} + \text{width}).

Calculate the value of xx. [2]
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Solutions

2QuestionSolving Equations with Decimals and FractionsAssessment Practice
5 marks~8 minCriterion D
A student has a total budget of 45.00 dollars to spend at a fair. The entry fee is 12.50 dollars and each ride costs 0.85 dollars. The student uses the equation 0.85x+12.50=45.000.85x + 12.50 = 45.00, where xx is the number of rides.
a
Calculate the number of rides the student can afford using this equation. Show all working. [2]
b
Explain why the model may overestimate the number of affordable rides if a 10% sales tax is applied to each ride token. [1]
c
Calculate the number of rides the student can afford when the 10% sales tax is included. Show all working and compare this with your answer to part (a). [2]
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Solutions

3QuestionSolving One-Step Addition and Subtraction EquationsConcept Practice
3 marks~5 minCriterion C
The bar model below represents an equation.
a
Describe what the bar model shows about the relationship between the whole and its parts. [1]
b
Explain how you would use an inverse operation to isolate xx. [1]
c
A student claims that x=21x = 21. Calculate the correct value of xx and state whether the student is right or wrong. [1]
Question diagram

Solutions

4QuestionSolving Equations with Decimals and FractionsConcept Practice
2 marks~3 minCriterion B
Solve each equation for xx.
a
Calculate the value of xx in each equation. [1]

x+0.3=0.7x+0.25=0.75x+0.125=0.875x+0.1=0.9x + 0.3 = 0.7 \qquad x + 0.25 = 0.75 \qquad x + 0.125 = 0.875 \qquad x + 0.1 = 0.9
b
Describe the pattern connecting the decimal added to xx and the solution for xx in each equation. [1]

Solutions

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