linear-equations-one-two-variables-l2 MCQ — 10 Practice Questions with Answers

Practice 10 linear-equations-one-two-variables-l2 multiple-choice questions with detailed answers and explanations. Ideal for RAS/RPSC exam preparation.

10 Questions mathematics-science-reet

Q1. Assertion: A teacher first uses a balance model for x + 4 = 16. Reason: Doing the same operation on both sides preserves equality.

A Both assertion and reason are true, and the reason explains the assertion. Correct

B Both are true, but the reason does not explain the assertion.

C The assertion is true, but the reason is false.

D The assertion is false, but the reason is true.

Explanation

The balance model is not decoration. It lets Imran see why subtracting 4 from both sides is legitimate, so the reason directly explains the teaching choice in the assertion.

Q2. Which set lists only common linear-equation MCQ traps described in the study note?

A Photosynthesis, friction, shadow formation

B Rhyme, metre, alliteration

C Matrix rank, determinant zero, eigenvalue

D Sign error, one-side operation, missing answer check Correct

Explanation

REET pedagogy items often ask the candidate to diagnose the error, not merely solve again. Sign errors, one-side operations and missing checks are exactly the traps a teacher should notice in Mary or Imran's work.

Q3. Mary solves 3x - 4 = 11. Which option is the best checking line for her answer x = 5?

A 3 + 5 - 4 = 4

B 5 - 4 = 1

C 3 times 5 - 4 = 11 Correct

D 3 times 11 - 4 = 29

Explanation

The checking line must use the original equation and the proposed value. Mary should replace x by 5, compute 15 - 4, and see that the result equals 11.

Q4. Match the classroom situation with the most suitable equation. List I: (1) Devika's rectangle has width 5 cm and perimeter 34 cm. (2) Asha has 5 more marbles than Imran and together they have 31. List II: (a) 2l + 10 = 34 (b) x + x + 5 = 31.

A 1-b, 2-a

B 1-a, 2-b Correct

C 1-a, 2-a

D 1-b, 2-b

Explanation

Devika's rectangle has perimeter 2l plus 10 because two widths of 5 cm make 10 cm. Asha and Imran's marbles use x and x + 5, so together they become x + x + 5.

Q5. Which option best matches the verified RBSE syllabus boundary for this REET topic?

A Simple linear equation Correct

B Quadratic equations with roots

C Matrix solution of simultaneous equations

D Trigonometric identities

Explanation

The official syllabus excerpt is narrow: "Equations : Simple linear equation." Therefore the safe REET preparation core is one-variable simple linear equations, with only a modest bridge to two-variable relations when classroom meaning requires it.

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Q6. Which source-framing is most honest for this note?

A Call every old NCERT chapter title current without checking.

B Ignore NCERT completely because RBSE has one short line.

C Replace the syllabus with a Class 10 algebra chapter.

D Use older Class 8 linear-equation PDF as verified historical revision support and state the Ganita Prakash transition honestly.

Q7. Asha solves 2x + 5 = 17 and writes x = 12. What should the teacher diagnose first?

A She cannot add whole numbers.

B She subtracted 5 but forgot to divide by 2.

C She used two variables instead of one.

D She should immediately memorise the answer.

Q8. Which statement best frames x + y = 10 for this REET topic?

A It has no possible solution pair.

B It describes several possible ordered pairs unless another condition is added.

C It always gives exactly one value of x.

D It must be solved by a matrix method in Class 8.

Q9. Which statement is correct about a linear equation at upper-primary level?

A The variable has highest power 1.

B It has no equality sign.

C It must always have two variables.

D Its solution is never checked by substitution.

Q10. In a fraction equation, why should a teacher say "multiply the whole of both sides by the common denominator"?

A Because only the first term needs to change.

B Because denominators disappear without any operation.

C Because it preserves equality while removing fractions from every term.

D Because checking the final answer becomes unnecessary.

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Frequently Asked Questions

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There are 10 linear-equations-one-two-variables-l2 practice MCQs available on Aspirant Academy, with detailed answers and explanations for each question.

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Yes, every linear-equations-one-two-variables-l2 question comes with the correct answer and a detailed explanation to help you understand the underlying concept.

How is linear-equations-one-two-variables-l2 relevant to the RAS/RPSC exam?

linear-equations-one-two-variables-l2 falls under the mathematics-science-reet section of the RAS/RPSC syllabus. It is a frequently tested area and regular practice with these MCQs will strengthen your preparation.

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