Solving One-Step and Two-Step Equations
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Solving One-Step and Two-Step Equations — Free MYP2 Mathematics Practice Questions

1QuestionUnderstanding Equality and BalanceConcept Practice
2 marks~3 minCriterion A
A balance scale has a 5 kg weight on the left side and two weights of 2 kg and 3 kg on the right side.
a
State an equation, using an equals sign, that represents this balanced scale. [1]
b
Explain why the scale is balanced. [1]
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Solutions

2QuestionSolving One-Step Multiplication and Division EquationsAssessment Practice
6 marks~9 minCriterion D
A farmer has 350 kg of fertilizer. Each bag holds 4.8 kg, and 5% of the fertilizer is lost during spreading (meaning only 95% is usable).
a
Solve 5x=3505x = 350. State the value of xx. [1]
b
Calculate the actual number of bags needed. Use the usable amount of fertilizer and the real bag weight of 4.8 kg. Show your working. [3]
c
Identify two assumptions made by the equation 5x=3505x = 350 and explain how each assumption affects the answer. [2]
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Solutions

3QuestionSolving One-Step Addition and Subtraction EquationsConcept Practice
3 marks~5 minCriterion C
A part-time job pays a fixed amount per hour. The graph shows the relationship between hours worked (hh) and total earnings (EE) in dollars. The line passes through (0,0)(0, 0) and (5,75)(5, 75).
a
Identify the rate of pay per hour. [1]
b
Write an equation for EE in terms of hh. [1]
c
A friend says: "Working 8 hours earns exactly 100 dollars at this job." Explain whether your friend is correct, using your equation. [1]
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Solutions

4QuestionSolving One-Step Addition and Subtraction EquationsAssessment Practice
6 marks~9 minCriterion B
Solve each equation by using the inverse operation — the opposite operation that "undoes" the one already in the equation.

x+5=12y−3=9z+7=15w−4=11x + 5 = 12 \qquad y - 3 = 9 \qquad z + 7 = 15 \qquad w - 4 = 11
a
Identify the inverse operation used to solve each equation and state the number applied to both sides. [2]
b
Describe the relationship between the operation in the original equation and the inverse operation used to solve it. [2]
c
Compare the two equation forms x+a=bx + a = b and x−a=bx - a = b. State the general rule for solving each form. [2]

Solutions

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