Vidaara.orgClass 8 · Mathematics
CodeVID-M08-06-INT-01
Introduction to 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.
In a linear equation the highest power of the variable is:
- A.$0$
- B.$1$
- C.$2$
- D.$3$
2.
The solution of $x+3=7$ is:
- A.$3$
- B.$4$
- C.$10$
- D.$7$
3.
An equation always contains:
- A.a $+$ sign
- B.an $=$ sign
- C.a fraction
- D.brackets
4.
In $2x=10$, $x=$
- A.$2$
- B.$5$
- C.$8$
- D.$20$
5.
The value that satisfies an equation is its:
- A.coefficient
- B.solution
- C.constant
- D.term
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Is $3x+2=8$ a linear equation?
7.
Solve $x+5=12$.
8.
Solve $x-4=3$.
9.
Solve $2x=14$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Solve $3x=21$.
11.
Solve $\tfrac{x}{2}=6$.
12.
Check whether $x=4$ satisfies $2x+1=9$.
13.
Write a linear equation whose solution is $x=5$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Solve and verify: $5x-3=2x+9$.
15.
Solve $2(x+3)=14$ and state the solution.
Answer Key
Section A — Multiple Choice Questions
- (B) $1$
- (B) $4$
- (B) an $=$ sign
- (B) $5$
- (B) solution
Section B — Short Answer (2 marks)
- Yes.
- $x=7$.
- $x=7$.
- $x=7$.
Section C — Short Answer (3 marks)
- $x=7$.
- $x=12$.
- Yes ($9=9$).
- e.g. $x+2=7$.
Section D — Long Answer (5 marks)
- $x=4$ (check $17=17$).
- $x=4$.
Generated by Vidaara.org · Assignment VID-M08-06-INT-01 · vidaara.org