Linear Equations – MCQs – T4Tutorials.com

Question 1:

\[ \text{What is the solution to the equation } 2x + 5 = 15 \text{?} \] \[ \text{(a) } x = 10, \quad \text{(b) } x = 5, \quad \text{(c) } x = -5, \quad \text{(d) } x = 2 \] Answer: B

Question 2:

\[ \text{Solve for } x: \quad 3x – 7 = 2x + 5. \] \[ \text{(a) } x = 12, \quad \text{(b) } x = -12, \quad \text{(c) } x = 10, \quad \text{(d) } x = -10 \] Answer: C

Question 3:

\[ \text{If } y = 3x + 4 \text{ and } x = 2, \text{ what is the value of } y? \] \[ \text{(a) } 10, \quad \text{(b) } 6, \quad \text{(c) } 12, \quad \text{(d) } 8 \] Answer: A

Question 4:

\[ \text{Which of the following equations represents a straight line?} \] \[ \text{(a) } x^2 + y^2 = 4, \quad \text{(b) } y = 2x + 3, \quad \text{(c) } xy = 5, \quad \text{(d) } y^3 = x \] Answer: B

Question 5:

\[ \text{Find the value of } k \text{ if the equation } 4x + ky = 10 \text{ passes through } (1,2). \] \[ \text{(a) } 3, \quad \text{(b) } 4, \quad \text{(c) } 2, \quad \text{(d) } 1 \] Answer: C

Question 6:

\[ \text{Solve for } x: \quad \frac{2x}{3} + \frac{4}{3} = 6. \] \[ \text{(a) } x = 6, \quad \text{(b) } x = 8, \quad \text{(c) } x = 12, \quad \text{(d) } x = 4 \] Answer: A

Question 7:

\[ \text{If } 3x – 2y = 4 \text{ and } x + y = 5, \text{ find } x. \] \[ \text{(a) } 2, \quad \text{(b) } 3, \quad \text{(c) } 4, \quad \text{(d) } 1 \] Answer: B

Question 8:

\[ \text{A line has a slope of } \frac{3}{4} \text{ and passes through (0,2). What is its equation?} \] \[ \text{(a) } y = \frac{3}{4}x + 2, \quad \text{(b) } y = \frac{4}{3}x + 2, \quad \text{(c) } y = \frac{3}{4}x – 2, \quad \text{(d) } y = \frac{4}{3}x – 2 \] Answer: A

Question 9:

\[ \text{What is the solution to the system:} \quad x + y = 10, \quad x – y = 2? \] \[ \text{(a) } x = 6, y = 4, \quad \text{(b) } x = 5, y = 5, \quad \text{(c) } x = 4, y = 6, \quad \text{(d) } x = 7, y = 3 \] Answer: A

Question 10:

\[ \text{The x-intercept of the line } 2x – 3y = 6 \text{ is:} \] \[ \text{(a) } (3,0), \quad \text{(b) } (-3,0), \quad \text{(c) } (6,0), \quad \text{(d) } (-6,0) \] Answer: A

Question 11:

\[ \text{The slope of the line passing through (2,3) and (4,7) is:} \] \[ \text{(a) } 2, \quad \text{(b) } \frac{4}{2}, \quad \text{(c) } \frac{7}{4}, \quad \text{(d) } \frac{3}{5} \] Answer: A

Question 12:

\[ \text{If } x = -1 \text{ is a solution of } 2x + 5 = ax – 1, \text{ find } a. \] \[ \text{(a) } 1, \quad \text{(b) } 2, \quad \text{(c) } 3, \quad \text{(d) } 4 \] Answer: B

Question 13:

\[ \text{If } 4x – 7 = 5x + 3, \text{ then } x \text{ is:} \] \[ \text{(a) } 5, \quad \text{(b) } 10, \quad \text{(c) } -10, \quad \text{(d) } -5 \] Answer: D

Question 14:

\[ \text{Which of the following equations has no solution?} \] \[ \text{(a) } 2x + 3 = 2x + 5, \quad \text{(b) } x + 2 = x + 2, \quad \text{(c) } 3x – 4 = 5x – 6, \quad \text{(d) } 4x + 2 = 4x + 2 \] Answer: A

Question 15:

\[ \text{Find } k \text{ if the pair of equations } kx + 2y = 3 \text{ and } 6x + 4y = 5 \text{ has no solution.} \] \[ \text{(a) } 3, \quad \text{(b) } 4, \quad \text{(c) } 5, \quad \text{(d) } 6 \] Answer: D

Linear Equations – MCQs
By: Prof. Dr. Fazal Rehman | Last updated: January 31, 2025