Vidaara.orgClass 8 · Mathematics
CodeVID-M08-06-SOL-01
Solving Linear Equations - Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
When transposed, a term's sign:
- A.doubles
- B.changes
- C.stays
- D.vanishes
2.
To solve $2x=8$:
- A.add $2$
- B.divide both sides by $2$
- C.subtract $8$
- D.multiply by $2$
3.
The solution of $3x-5=10$ is:
- A.$3$
- B.$5$
- C.$15$
- D.$2$
4.
The solution of $\tfrac{x}{3}=4$ is:
- A.$\tfrac43$
- B.$7$
- C.$12$
- D.$1$
5.
Whatever we do to one side of an equation, we do to the:
- A.variable
- B.other side
- C.constant
- D.sign
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Solve $2x+3=11$.
7.
Solve $4x-1=15$.
8.
Solve $\tfrac{x}{5}=3$.
9.
Solve $3x=2x+7$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Solve $5x+2=3x+10$.
11.
Solve $7-2x=1$.
12.
Solve $\tfrac{x}{2}+3=8$.
13.
Solve $4(x-1)=2x+6$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Solve $\dfrac{2x-1}{3}=\dfrac{x+1}{2}$.
15.
Solve $3(x+2)-2(x-1)=13$.
Answer Key
Section A — Multiple Choice Questions
- (B) changes
- (B) divide both sides by $2$
- (B) $5$
- (C) $12$
- (B) other side
Section B — Short Answer (2 marks)
- $x=4$.
- $x=4$.
- $x=15$.
- $x=7$.
Section C — Short Answer (3 marks)
- $x=4$.
- $x=3$.
- $x=10$.
- $x=5$.
Section D — Long Answer (5 marks)
- $x=5$.
- $x=5$.
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