Section A (Multiple Choice Questions) (1×6=6)
1. What is the solution to the equation 2x + 3 = 7?
a) x = 2
b) x = 3
c) x = 5
d) x = 1
2. Which of the following equations represents a linear equation in two variables?
a) x² + y² = 0
b) x + y = 1
c) x² - y = 0
d) y = x²
3. What is the solution to the system of equations:
x + y = 4, 2x - 2y = 2?
a) (2, 2)
b) (1, 3)
c) (3, 1)
d) (0, 0)
4. Which of the following systems has infinitely many solutions?
a) x + y = 2, 2x + 2y = 4
b) x - y = 1, 2x - 2y = 2
c) x + 2y = 3, 2x + 4y = 6
d) x - 2y = 3, 2x + 3y = 5
5. What is the value of x in the equation:
2x + 3y = 5, x - 2y = -3?
a) 1
b) 2
c) 3
d) 4
6. Which of the following is a consistent system of equations?
a) x + y = 2, 2x + 2y = 3
b) x - y = 1, 2x - 2y = 2
c) x + 2y = 3, 2x + 4y = 5
d) x - 2y = 3, 2x + 3y = 4
Section B (Short Answer Questions) 2×4=8).
7. Solve the equation x - 2 = 7 and write the answer in the form x = ...
8. Write the equation 3x + 2 = 5 in the form ax + by = c, where a, b, and c are integers.
9. Solve: 2x + 3y = 7, x - 2y = -3
10. (x-1) / (x+1) = 1 find the value of x.
Section C (Long Answer Questions(. ( 3×2=6)
11. Solve the following system of linear equations:
x + y = 4
2x - 3y = 5
12. Find the value of k for which the equation (k + 1)x - 3 = 2x + 5 has a unique solution.
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