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

Solve 30 linear-equations-one-two-variables-l2 questions for RAS/RPSC preparation.

Practice questions

Q1Which statement correctly identifies a linear equation in one variable?

A x squared + 3 = 7
B 4x - 9 = 15
C 4x - 9
D 4 divided by x = 8
Explanation

A linear equation needs an equality sign and the variable's highest power must be 1. One option lacks equality, one has a squared variable, and one places the variable in the denominator.

Q2Which value of x satisfies the linear equation 5x + 3 = 28?

A 5
B 4
C 6
D 25
Explanation

A linear equation remains true only for values that balance both sides. For 5x + 3 = 28, subtracting 3 gives 5x = 25, so x = 5; the other options fail when substituted or skip the division by the coefficient.

Q3In the expression 5x + 8, which part is the constant?

A 5
B x
C 8
D 5x
Explanation

A constant is a fixed number in an expression or equation, so 8 is the constant in 5x + 8. The number 5 is the coefficient, x is the variable, and 5x is a variable term.

Q4Which set lists only common linear-equation MCQ traps?

A Photosynthesis, friction, shadow formation
B Rhyme, metre, alliteration
C Matrix rank, determinant zero, eigenvalue
D Sign error, one-side operation, missing answer check
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.

Q5In a class 6 to 8 lesson on simple linear equations, which teaching sequence best builds meaning before symbols?

A Start with transposition rules, then give a balance activity if time remains.
B Use a balance model, then a table or strip model, and then write equations with symbols.
C Avoid models and ask learners to memorize only solved examples.
D Teach two-variable graphs first and return to one-variable equations later.
Explanation

A sound sequence begins with balance, then uses tables or strip models, and finally moves to symbols. This makes inverse operations meaningful; the other options start with rules, memorization, or a heavier graph idea too early.

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More questions

6A teacher wants to explain why the same operation must be done on both sides while solving x + 4 = 15. Which aid is most suitable?

AA balance model with one covered box and counters on both sides
BA list of final answers without showing steps
CA rule chart saying change side, change sign only
DA protractor used to measure angles

7For the equation 2x - 3 = 11, which substitution check proves that x = 7 is a solution?

A2(7) - 3 = 14 - 3 = 11
B2(7) + 3 = 17
C2(11) - 3 = 19
D7 - 3 = 4

8Mary solves 3x - 4 = 11. Which option is the best checking line for her answer x = 5?

A3 + 5 - 4 = 4
B5 - 4 = 1
C3 times 5 - 4 = 11
D3 times 11 - 4 = 29

9Why does the equation x + y = 12 have more than one solution pair?

ABecause a linear equation cannot contain an equality sign.
BBecause both variables must always have the same value.
CBecause many ordered pairs can have the same sum 12.
DBecause the highest power of a variable is 2.

10Which pair of steps correctly clears the denominator in (x + 3) / 2 = 7 and then solves the equation?

Ax + 3 = 7, so x = 4
Bx + 3 = 14, so x = 17
Cx + 3 = 9, so x = 6
Dx + 3 = 14, so x = 11

11Match 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.

A1-b, 2-a
B1-a, 2-b
C1-a, 2-a
D1-b, 2-b

12Which approach best preserves useful verified mathematical explanations while avoiding a stale current-title claim?

ACall every old NCERT chapter title current without checking.
BIgnore NCERT completely because RBSE has one short line.
CReplace the syllabus with a Class 10 algebra chapter.
DUse older Class 8 linear-equation PDF as verified historical revision support and state the Ganita Prakash transition honestly.

13A word problem says, "A number increased by 7 is 25." Before writing the equation, which variable statement is most suitable?

ALet 7 be the unknown number.
BLet x be the number.
CLet 25 be x plus 7.
DLet the answer be 25.

14In a fraction equation, why should a teacher say "multiply the whole of both sides by the common denominator"?

ABecause only the first term needs to change.
BBecause denominators disappear without any operation.
CBecause it preserves equality while removing fractions from every term.
DBecause checking the final answer becomes unnecessary.

15Assertion: A teacher first uses a balance model for x + 4 = 16. Reason: Doing the same operation on both sides preserves equality.

ABoth assertion and reason are true, and the reason explains the assertion.
BBoth are true, but the reason does not explain the assertion.
CThe assertion is true, but the reason is false.
DThe assertion is false, but the reason is true.

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