Vidaara.orgClass 9 · Mathematics
CodeVID-M9-19-CT
Simultaneous 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.
A pair of linear equations in two variables has how many variables?
- A.$1$
- B.$2$
- C.$3$
- D.$4$
2.
The standard form for cross-multiplication is:
- A.$ax+by=0$
- B.$ax+by+c=0$
- C.$ax=by$
- D.$y=mx+c$
3.
The sum of two numbers is $20$, difference $4$. The larger is:
- A.$8$
- B.$10$
- C.$12$
- D.$16$
4.
In substitution, we express one variable in terms of the:
- A.constant
- B.other variable
- C.coefficient
- D.sum
5.
The common denominator for $x$ and $y$ is:
- A.$a_1b_2-a_2b_1$
- B.$a_1+b_2$
- C.$c_1c_2$
- D.$a_1a_2$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Solve $x+y=7,\ x-y=3$.
7.
Write the standard form needed for cross-multiplication.
8.
The sum of two numbers is $25$ and their difference is $5$. Find them.
9.
Solve $x+y=10,\ x-y=4$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Solve $2x+y=7,\ x-y=2$.
11.
Solve by cross-multiplication: $2x+3y-13=0$ and $x-y+1=0$.
12.
The sum of two numbers is $35$ and their difference is $9$. Find the numbers.
13.
Solve $3x+2y=12,\ x+y=5$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Solve by elimination: $3x+4y=10$ and $2x-2y=2$.
15.
Solve by cross-multiplication: $2x+3y=17$ and $3x-2y=6$.
Answer Key
Section A — Multiple Choice Questions
- (B) $2$
- (B) $ax+by+c=0$
- (C) $12$
- (B) other variable
- (A) $a_1b_2-a_2b_1$
Section B — Short Answer (2 marks)
- $x=5,\ y=2$.
- $ax+by+c=0$.
- $15$ and $10$.
- $x=7,\ y=3$.
Section C — Short Answer (3 marks)
- $x=3,\ y=1$.
- $x=2,\ y=3$.
- $22$ and $13$.
- $x=2,\ y=3$.
Section D — Long Answer (5 marks)
- $x=2,\ y=1$.
- $x=4,\ y=3$.
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