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Punjab (PTB) · Chapter test · Free

9th Class Mathematics Chapter 5 TestUNIT 5: Linear Equations and Inequalities

30 marks · 40 minutes · 21 questions. Covers: UNIT 5: Linear Equations and Inequalities.

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9th Class Mathematics Chapter 5 Test

9th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. The inequality represents:

    1. A parabola 

    2. A straight line 

    3. A shaded region 

    4. A single point 

  2. The intersection of two half-planes is known as: 

    1. A vertex 

    2. A feasible region 

    3. A line 

    4. A parabola 

  3. A vertical line divided the plane into:

    1. Two half-planes 

    2. Four quadrants 

    3. Three sections 

    4. Infinite parts 

  4. Which of the following is a linear equation in one variable? 

  5. What is the graphical representation of a system of linear inequalities?

    1. A shaded region

    2. A single point

    3. A straight line

    4. A curve

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

    1. Solution function

    2. Objective function

    3. Feasible function

    4. None of these

  7. A vertical line divides the plane into:

    1. Left half plane

    2. Right half plane

    3. Full plane

    4. Two half planes

  8. The inequality means: 

    1. x is greater than 3 

    2. x is greater than or equal to 3 

    3. x is greater than or equal to 8 

    4. x is less than 3 

  9. The equation is equivalent to the inequality: 

    1. None of these 

  10. The associated equation of the inequality : 

    1. x + 2y = 8

    2. x + 2y > 8

    3. x + 2y < 8

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

  1. Solve following inequality and represent the solution on a real line:

  2. Solve the following linear inequalities in xy-plane.

  3. Shade the solution region for the following linear inequalities in xy-plane:

  4. Define linear inequality.

  5. What is the optimal solution in a linear programming problem.

  6. Shade the solution region for the following linear inequalities in xy-plane:

  7. Shade the solution region for the following linear inequalities in xy-plane:

  8. Solve the following equation and represent their solution on real line:

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

  1. Shade the feasible region and find the corner points for the following system of inequalities (or subject to the following constraints): , , , 

  2. Indicate the solution region of the following linear inequalities by shading: , 

  3. Find the solution region by drawing the graph of the system of inequalities: ,