Vidaara.orgClass 8 · Mathematics
CodeVID-M8-06-CT
Linear Equations — Full Chapter Test
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- This is a full-length test covering the whole chapter — every topic is included.
- 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.
In a linear equation the highest power of the variable is:
- A.$0$
- B.$1$
- C.$2$
- D.$3$
2.
When transposed, a term's sign:
- A.doubles
- B.changes
- C.stays
- D.vanishes
3.
"$5$ more than $x$" is:
- A.$5x$
- B.$x+5$
- C.$x-5$
- D.$\tfrac{x}{5}$
4.
The solution of $x+3=7$ is:
- A.$3$
- B.$4$
- C.$10$
- D.$7$
5.
To solve $2x=8$:
- A.add $2$
- B.divide both sides by $2$
- C.subtract $8$
- D.multiply by $2$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Is $3x+2=8$ a linear equation?
7.
Solve $2x+3=11$.
8.
A number increased by $6$ is $14$. Find the number.
9.
Solve $x+5=12$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Solve $3x=21$.
11.
Solve $5x+2=3x+10$.
12.
The sum of a number and its double is $21$. Find the number.
13.
Solve $\tfrac{x}{2}=6$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Solve and verify: $5x-3=2x+9$.
15.
Solve $\dfrac{2x-1}{3}=\dfrac{x+1}{2}$.
Answer Key
Section A — Multiple Choice Questions
- (B) $1$
- (B) changes
- (B) $x+5$
- (B) $4$
- (B) divide both sides by $2$
Section B — Short Answer (2 marks)
- Yes.
- $x=4$.
- $8$.
- $x=7$.
Section C — Short Answer (3 marks)
- $x=7$.
- $x=4$.
- $7$.
- $x=12$.
Section D — Long Answer (5 marks)
- $x=4$ (check $17=17$).
- $x=5$.
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