Unit 4 · Class 8 IB MYP · MCQ Test
Systems of Equations MCQ Test — Class 8 IB MYP
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Systems of Equations — MCQ Questions
1Solve: \(x + y = 5\) and \(x = 3\). Find \(y\).
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Answer: 2
Hint: Substitute x = 3 into the first equation.
Solution:
Substitute x = 3. — 3 + y = 5 \Rightarrow y = 2
2Solve: \(x + y = 10\) and \(x - y = 2\). Find \(x\).
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Answer: 6
Hint: Add the two equations to eliminate y.
Solution:
Add equations. — 2x = 12 \Rightarrow x = 6
3If \(x = 2\) and \(x + y = 7\), what is \(y\)?
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Answer: 5
Hint: Substitute x = 2 into the second equation.
Solution:
Substitute. — 2 + y = 7 \Rightarrow y = 5
4Solve: \(2x + y = 8\) and \(y = 2\). Find \(x\).
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Answer: 3
Hint: Substitute y = 2 into the first equation.
Solution:
Substitute. — 2x + 2 = 8 \Rightarrow 2x = 6 \Rightarrow x = 3
5The sum of two numbers is 12 and their difference is 4. What are the numbers?
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Answer: 8 and 4
Hint: Set up: \(a + b = 12\) and \(a - b = 4\).
Solution:
Add equations. — 2a = 16 \Rightarrow a = 8, \; b = 4
6Solve: \(x + y = 6\) and \(x - y = 0\). Find \(x\) and \(y\).
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Answer: x = 3, y = 3
Hint: \(x - y = 0\) means \(x = y\).
Solution:
Since x = y, substitute into the first equation. — 2x = 6 \Rightarrow x = 3, \; y = 3
7Solve: \(y = 3x\) and \(x + y = 8\). Find \(x\).
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Answer: 2
Hint: Substitute y = 3x into the second equation.
Solution:
Substitute. — x + 3x = 8 \Rightarrow 4x = 8 \Rightarrow x = 2
8How many solutions does a system of two parallel lines have?
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Answer: 0
Hint: Parallel lines never meet.
Solution:
Parallel lines have the same slope but different intercepts, so they never intersect.
9Solve: \(x + 2y = 10\) and \(x = 4\). Find \(y\).
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Answer: 3
Hint: Substitute x = 4.
Solution:
Substitute. — 4 + 2y = 10 \Rightarrow 2y = 6 \Rightarrow y = 3
10Solve: \(3x + y = 7\) and \(y = 1\). Find \(x\).
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Answer: 2
Hint: Substitute y = 1.
Solution:
Substitute. — 3x + 1 = 7 \Rightarrow 3x = 6 \Rightarrow x = 2
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Tips for Systems of Equations MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Systems of Equations MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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