Chapter 4 MATHS : Linear Equations in Two Variables — Online MCQ Test
MATHS · CLASS 9th · Andhra State Board
Practice Chapter 4 MATHS : Linear Equations in Two Variables with a free chapter-wise online MCQ test.
This chapter covers: This chapter details linear equations solutions representation and finding solutions for linear equations in two variables..
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Chapter 4 MATHS : Linear Equations in Two Variables — Important Questions & Answers
Which of the following is a linear equation in two variables?
- A. x + y = 7
- B. x^2 + y = 7
- C. xy = 7
- D. x + y^2 = 7
Answer: A. x + y = 7
A linear equation in two variables has both variables only to the first power. Here, x and y are both first degree.
A linear equation in two variables has both variables only to the first power. Here, x and y are both first degree.
The graph of a linear equation in two variables is always a _____.
- A. circle
- B. straight line
- C. parabola
- D. triangle
Answer: B. straight line
Every linear equation in two variables represents a straight line on the Cartesian plane.
Every linear equation in two variables represents a straight line on the Cartesian plane.
Which ordered pair satisfies the equation 2x + y = 9?
- A. (2, 5)
- B. (3, 2)
- C. (4, 1)
- D. (1, 7)
Answer: A. (2, 5)
For (2, 5), 2(2) + 5 = 4 + 5 = 9, so it is a correct solution.
For (2, 5), 2(2) + 5 = 4 + 5 = 9, so it is a correct solution.
If the solution of the equation 4x + 2y = 20 is x = 3, then y equals _____.
- A. 1
- B. 2
- C. 3
- D. 4
Answer: B. 2
Substituting x = 3 gives 4(3) + 2y = 20, so 12 + 2y = 20 and y = 4.
Substituting x = 3 gives 4(3) + 2y = 20, so 12 + 2y = 20 and y = 4.
A student says that the point (2, 3) satisfies both equations x + y = 5 and 2x - y = 1. Which of the following is true?
- A. The student is correct
- B. The student is wrong because it satisfies only the first equation
- C. The student is wrong because it satisfies only the second equation
- D. The student is wrong because it satisfies neither equation
Answer: A. The student is correct
For (2, 3), x + y = 5 and 2x - y = 1 both hold true. So the point is a common solution.
For (2, 3), x + y = 5 and 2x - y = 1 both hold true. So the point is a common solution.