9th class Math, Chapter 5: Linear Equations and Inequalities MCQs

1. In the following, a linear equation is:

1. (A) 5x > 7
2. (B) 4x − 2 < 1
3. (C) 2x + 1 = 1 ✓
4. (D) 4 = 1 + 3

2. The solution of 5x − 10 = 10 is:

1. (A) 0
2. (B) 50
3. (C) 4 ✓
4. (D) −4

3. If 7x + 4 < 6x + 6, then x belongs to the interval:

1. (A) (2, ∞)
2. (B) [2, ∞)
3. (C) (−∞, 2) ✓
4. (D) (−∞, 2]

4. A vertical line divides the plane into:

1. (A) left half plane
2. (B) right half plane
3. (C) full plane
4. (D) two half planes ✓

5. The equation formed from a linear inequality is called:

1. (A) cubic equation
2. (B) associated equation ✓
3. (C) quadratic equation
4. (D) feasible region

6. 3x + 4 < 0 is:

1. (A) equation
2. (B) inequality ✓
3. (C) not inequality
4. (D) identity

7. A corner point is also called:

1. (A) code
2. (B) vertex ✓
3. (C) curve
4. (D) region

8. (0, 0) is a solution of the inequality:

1. (A) 4x + 5y > 8
2. (B) 3x + y > 6
3. (C) −2x + 3y < 0 ✓
4. (D) x + y > 4

9. The solution region restricted to the first quadrant is called:

1. (A) objective region
2. (B) feasible region ✓
3. (C) solution region
4. (D) constraints region

10. A function that is to be maximized or minimized is called:

1. (A) solution function
2. (B) objective function ✓
3. (C) feasible function
4. (D) none of these

11. A linear equation in one variable has:

1. (A) exactly one solution ✓
2. (B) two solutions
3. (C) no solution always
4. (D) infinitely many solutions always

12. The general form of a linear equation in one variable is:

1. (A) ax² + bx + c = 0
2. (B) ax + by = c only
3. (C) ax³ = 0
4. (D) ax + b = 0 (a ≠ 0) ✓

13. When both sides of an inequality are multiplied by a negative number, the inequality sign:

1. (A) becomes equality
2. (B) is removed
3. (C) is reversed ✓
4. (D) stays the same

14. The solution of x > 1 in interval notation is:

1. (A) (1, ∞) ✓
2. (B) [1, ∞)
3. (C) (−∞, 1)
4. (D) (−∞, 1]

15. The solution of x ≤ 1 in interval notation is:

1. (A) [1, ∞)
2. (B) (1, ∞)
3. (C) (−∞, 1] ✓
4. (D) (−∞, 1)

16. The boundary line of the graph of ax + by < c is drawn:

1. (A) not drawn
2. (B) dashed ✓
3. (C) solid
4. (D) dotted red

17. The boundary line of the graph of ax + by ≤ c is drawn:

1. (A) dashed
2. (B) not drawn
3. (C) as a curve
4. (D) solid ✓

18. Which point is usually chosen as the test point for a half-plane?

1. (A) (1, 1)
2. (B) (−1, 0)
3. (C) (0, 1)
4. (D) (0, 0) ✓

19. A non-vertical line divides the plane into:

1. (A) left and right half planes
2. (B) four quadrants
3. (C) one half plane
4. (D) upper and lower half planes ✓

20. Non-negative constraints mean:

1. (A) x + y = 0
2. (B) x ≥ 0 and y ≥ 0 ✓
3. (C) x < 0 and y < 0
4. (D) x = y