Mathematics carries the highest weight in AISSEE — 150 of 300 marks in Class 6 and 200 of 400 marks in Class 9 — and it is also a key section of the RMS CET. Practise these 10 MCQs on Linear Equations in One Variable, then check your answers and step-by-step solutions in the answer key at the end.
Quick facts: AISSEE 2027 will be held on Sunday, 31 January 2027. There is no negative marking, so attempt every question. Online applications are open until 2 December 2026 on exams.nta.nic.in/sainik-school-society.
Practice Questions
Q1. Solve for x: 2x − 4 = −16
(A) −5
(B) −6
(C) 6
(D) −10
Q2. Solve: 5x + 5 = 2x + 35
(A) 10
(B) 12
(C) −10
(D) 20
Q3. A number is 2 times another number. Their sum is 105. What is the smaller number?
(A) 70
(B) 37
(C) 35
(D) 52
Q4. A father is 3 times as old as his son. If the father is 33 years old now, how old will the son be after 6 years?
(A) 11 years
(B) 17 years
(C) 39 years
(D) 20 years
Q5. Solve for x: 5x + 8 = −17
(A) −4
(B) 5
(C) −9/5
(D) −5
Q6. Solve: 6x + 2 = 5x + 9
(A) 9
(B) 7
(C) −7
(D) 14
Q7. A number is 3 times another number. Their sum is 160. What is the smaller number?
(A) 120
(B) 43
(C) 80
(D) 40
Q8. A father is 3 times as old as his son. If the father is 45 years old now, how old will the son be after 6 years?
(A) 15 years
(B) 51 years
(C) 24 years
(D) 21 years
Q9. Solve for x: 4x − 15 = −27
(A) −3
(B) −2
(C) 3
(D) −21/2
Q10. Solve: 7x + 4 = 2x + 19
(A) 5
(B) −3
(C) 3
(D) 6
Answer Key with Explanations
(B) −6 — 2x = −16 + 4 = −12, so x = −6.
(A) 10 — 3x = 30, so x = 10.
(C) 35 — Let the numbers be x and 2x: 3x = 105, x = 35.
(B) 17 years — Son's age now = 33/3 = 11; after 6 years = 17.
(D) −5 — 5x = −17 − 8 = −25, so x = −5.
(B) 7 — Subtract 5x and 2 from both sides: x = 7.
(D) 40 — Let the numbers be x and 3x: 4x = 160, x = 40.
(D) 21 years — Son's age now = 45/3 = 15; after 6 years = 21.
(A) −3 — 4x = −27 + 15 = −12, so x = −3.
(C) 3 — 5x = 15, so x = 3.
How did you score?
9–10 correct: excellent — move on to a full-length mock test. 6–8: good — revise the explanations of the questions you missed. Below 6: study this topic again from your NCERT book and retry these questions after two days.
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