Linear Equations in Two Variables Class 9 MCQ with Answers – Maths Class 9 MCQ Online Test are covered in this Article. Linear Equations in Two Variables Class 9 MCQ Test contains 20 questions. Answers to MCQ on Linear Equations in Two Variables Class 9 are available after clicking on the answer. MCQ Questions for Class 9 with Answers have been made for Class 9 students to help check the concept you have learnt from detailed classroom sessions and application of your knowledge.
| Board | CBSE |
| Textbook | Maths (NCERT) |
| Class | Class 9 |
| Chapter | Chapter 4 Linear Equations in Two Variables |
| Category | MCQ Questions for Class 9 Maths with Answers |
Linear Equations in Two Variables Class 9 MCQ with Answers
1. When same number is added to both sides of an equation then equation will
(a)remain same
(b)become half
(c)become twice
(d)become thrice
Answer
Answer: (a)remain same
Explanation: When same number is added to both sides of an equation then equation will remain same.
2.Which of the following is not an equation in two variables
(a)x+y=10
(b)x+2.5=-y
(c)x=0
(d)2x-4y=8
Answer
Answer: (c)x=0
Explanation: By comparing to the standard form ax+by+c=0, where a. b and c are real numbers and a and b are not both zero
X =0 is an equation in one variable.
3.The cost of a toy car is half of the cost of a toy bus. Their total cost is Rs.45. What will be the equation in two variables?
(a) 2x+y = 90
(b) 2x+y = 45
(c) x+ y = 90
(d) 2x+2y = 90
Answer
Answer: (a) 2x+y = 90
Explanation: Let cost of toy car be x and cost of toy bus be y.
According to question
The cost of a toy car is half of the cost of a toy bus
x = y/2
and total cost is 45
x + y/2 = 45
2x+y = 90
4.The equation whose a, b and c values are a=-1, b=2 and c=5 is
(a)x+2y=5
(b)-x+2y=-5
(c)-x-2y=5
(d)x+y=-5
Answer
Answer: (b)-x+2y=-5
Explanation: By comparing to the standard form ax+by+c=0, where a. b and c are real numbers and a and b are not both zero.
a = -1, b = 2 and c =5
-x+2y = -5 or -x+2y+5 = 0
5.Which of the following is a solution of the equation 2x+3y=-30
(a) (0, -10)
(b) (-15,10)
(c) (15, -10)
(d) (15,10)
Answer
Answer: (a) (0, -10)
Explanation: If (0, -10) is a solution then it will satisfy the equation 2x+3y=-30
LHS = 2x+3y=2 (0) +3(-10)
=-30 =RHS
6. If (6, 1) is a solution of the equation x-7y = k, then value of k is
(a) 1
(b) -1
(c) 2
(d) 0
Answer
Answer: (b) -1
Explanation: Given that (6, 1) is a solution of the equation x-7y = k
So, 6 – 7(1) = k
k = 6 -7 = -1
Linear Equations in Two Variables Class 9 MCQ with Answers
7. A linear equation in two variables has
(a)Unique solution
(b) two solutions
(c)no solution
(d)Infinitely many solutions
Answer
Answer: (d)Infinitely many solutions
8. The graph of the equation of the form y = m × x is a line which always passes through
(a) (0,0)
(b) (0,1)
(c) (1,0)
(d) (1,1)
Answer
Answer: (a) (0,0)
Explanation: Let m =1 then, y =x
m = 2 then, y =2x
Similarly, we can take any value for m and the corresponding line will always passes through (0,0)
9.How many lines can pass through the point (3, 4)
(a)only one
(b) two
(c) infinitely many
(d)None of these
Answer
Answer: (c) infinitely many
Explanation:
10. The graph of every linear equation in two variables is a
(a)straight line
(b)circle
(c)Parabola
(d)triangle
Answer
Answer: (a)straight line
11.The graph of y = a is a straight line parallel to the
(a)y-axis
(b)x-axis
(c) (0, 0)
(d) None of these
Answer
Answer: (b)x-axis
Explanation:
12.Point (0, 1) satisfies the equation
(a) y=2x
(b) y=2x+1
(c) x = y-2
(d) 3x+3y = 1
Answer
Answer: (b) y=2x+1
Explanation: y = 2x +1
1 = 2(0) + 1
1 = 1
13. What will be the equation of the line which passes through the point (-1/2,1)
(a)2x – y = -1
(b) 2x +y = -1
(c)x – y = -1
(d) 2x + 2y = 1
Answer
Answer: (d) 2x + 2y = 1
Explanation: 2x + 2y = 1 passes through the point (-1/2, 1)
LHS = 2 (-1/2) +2(1)= -1 + 2 = 1 = RHS
14. The graph of the linear equation 3x+4y=12 cuts the y-axis at
(a) (3, 0)
(b) (4, 0)
(c) (0, 3)
(d) (-3, 0)
Answer
Answer: (c) (0, 3)
Explanation: If x = 0 then 3(0) + 4y =12 => y = 3
15.The equation x = -7 in two variables can be written as
(a)1.x + 1.y = -7
(b) 1.x + 1.y = 7
(c) 0.x + 1.y = -7
(d) 1.x + 0.y = -7
Answer
Answer: (d) 1.x + 0.y = -7
Explanation: By comparing to the standard form ax+by+c=0,
x = 1, y = 0 and c = 7
x +7 = 0 or x = -7
Linear Equations in Two Variables Class 9 MCQ with Answers
16. The graph of x = -1 is a line
(a)parallel to x – axis at a distance 1 unit from the origin
(b) parallel to x – axis at a distance -1 unit from the origin
(c) parallel to y – axis at a distance 1 unit from the origin
(d) parallel to y – axis at a distance -1 unit from the origin
Answer
Answer: (d) parallel to y – axis at a distance -1 unit from the origin
Explanation:
17. If a linear equation has solutions (-1, 0), (0, 2) and (2, 6), then the equation is
(a)-2x+y =2
(b) 2x+y =2
(c) -2x-y =2
(d) -2x+y = -2
Answer
Answer: (a)-2x+y =2
Explanation: The given points (-1, 0), (0, 2) and (2, 6) satisfies the equation -2x+y =2
For (-1,0) => LHS= -2(-1) +0 =2 =RHS
For (0,2) => LHS = -2(0) +2 = 2 = RHS
For (2,6) => LHS = -2(2) + 6 = -4+6 = 2 = RHS
18. A linear equation that converts Fahrenheit to Celsius:
F = (9/5) C + 32
The temperature which is numerically same in both Celsius and Fahrenheit is
(a)400
(b) -400
(c) 200
(d) 300
Answer
Answer: (b) -400
Explanation: According to question
F = C
C = (9/5) C + 32
5C = 9C + 160
-4C = 160
C = -400 = F
19.Ramesh and Suresh work at a company. Ramesh’s salary is thrice of Suresh salary. Sum of their salaries is Rs 300.What is the salary of Ramesh and Suresh?
(a)Ramesh’s salary is Rs 0 and Suresh’s salary is Rs 300
(b) Ramesh’s salary is Rs 50 and Suresh’s salary is Rs 150
(c) Ramesh’s salary is Rs 150 and Suresh’s salary is Rs 50
(d) Ramesh’s salary is Rs 300 and Suresh’s salary is Rs 0
Answer
Answer: (c) Ramesh’s salary is Rs 150 and Suresh’s salary is Rs 50
Explanation: Let salary of Ramesh be Rs x and salary of Suresh be Rs y.
According to question
x = 3y
x +3y = 300 …………… (1)
Substituting value of x in (1)
3y + 3y = 300
6y = 300
y = 50
x = 150
20. Solve the equation 4x+5 = x-7, can we represent the solution(s) on (i) the number line, (ii) the Cartesian plane.
(a)Yes
(b)No
Answer
Answer: (a)Yes
Explanation: 4x+5 = x-7
4x- x = -7-5
3x = -12
x = -4
(i)the number line
(ii)the cartesian plane
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Frequently Asked Questions on Linear Equations in Two Variables Class 9 MCQ with Answers
1. Are these MCQ on Linear Equations in Two Variables Class 9 are based on 2021-22 CBSE Syllabus?
Yes. There are 20 MCQ’s on this Chapter in this blog.
2. Are you giving all the chapters of Maths Class 9 MCQs with Answers which are given in CBSE syllabus for 2021-22 ?
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