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Federal (FBISE) · Chapter test · Free

10th Class Mathematics Chapter 4 Test04. Linear and Quadratic Inequalities

28 marks · 40 minutes · 19 questions. Covers: 04. Linear and Quadratic Inequalities.

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10th Class Mathematics Chapter 4 Test

10th Class · Mathematics · Federal (FBISE)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 28Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 8 × 1 = 8)

  1. Which ordered pair is a solution of the system 2x - y ≤ 5 and x + 2y > 2?
    1. (1 , -1)
    2. (4 , 1)
    3. (2 , 0)
    4. (3 , 2)
  2. The solution of the x−2\frac{x}{-2} < 3 - x is:
    1. x < 2
    2. x < 6
    3. x > 2
    4. x < -2
  3. (7 , -2) is a solution of the inequality;
    1. x - y < -4
    2. 2x + y < 10
    3. x + 10y < 1
    4. #NAME?
  4. The solution of the inequality x < 3 for x ∈ N is:
    1. {1 , 1 , 2}
    2. {-2 , -2 , 0 , 1, 2}
    3. {1 , 2}
    4. {1}
  5. The solution for -5x ≥ -80 is:
    1. {x | x < 16}
    2. {x | x ≤ 16}
    3. {x | x > 16}
    4. {x | x ≥ 16}
  6. Which ordered pair is a solution of the inequality 4x - y ≥ 3 ?
    1. (0 , 0)
    2. (-1 , 2)
    3. (1 , 1)
    4. (0 , -2)
  7. The solution of the inequality 6x - 7 ≥ 2x + 17 is:
    1. x < 6
    2. x ≥ 6
    3. x ≤ 6
    4. x > 6
  8. In general, we use a test point when graphing the inequality:
    1. (-1 , -1)
    2. (0 , 0)
    3. (2 , 2)
    4. (-3 , -3)

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Solve the inequalities, if possible, graph the solution. 23x−4≥1\frac{2}{3}x - 4 ≥ 1
  2. Graph the inequality. x - y ≥ 2
  3. Tell whether the ordered pair is a solution of the inequality. (0 , 0) ; x + y < - 4
  4. Graph the in equality x + 2y ≤ 0.
  5. Solve 9x + 6 < 8x - 2. Graph the solution set.
  6. Area > 81 square feetQuestion diagram
  7. Solve the absolute valued equation. |x - 3| = 2x
  8. Which ordered pair is not a solution of x - 3 y ≤ 6? (0 , 0)

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Does the system of inequalities have any solution? x - y > 5 ; x - y < 1
  2. The stopping distance d (x) (in meters) of a car traveling at x km/h is modeled by d (x) = 0.05x² + 0.2x . If the maximum stopping distance allowed in a school zone is 35 meters, find the speed range that ensures the stopping distance does not exceed this limit.
  3. Graph the system of inequalities. x + y ≤ 3 ; x - y ≤ 4