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Federal (FBISE) · Chapter test · Free

9th Class Mathematics Chapter 5 Test05. Linear Equations and Inequalities

30 marks · 40 minutes · 21 questions. Covers: 05. Linear Equations and Inequalities.

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9th Class Mathematics Chapter 5 Test

9th Class · Mathematics · Federal (FBISE)

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

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

  1. Which one is the standard form of linear equation?
    1. ax2+b=0ax^2 + b = 0
    2. ax + b = -c
    3. ax + b > 0
    4. ax + b = 0
  2. The symbol “>” means:
    1. Less than
    2. Greater than
    3. Equal to
    4. Not equal to only
  3. Solve: 2 < x < 6
    1. x < 2 or x > 6
    2. 2 < x < 6
    3. x ≤ 2
    4. x ≥ 6
  4. Which one is the solution of 2(x+6) ≤3(x+4)2(x + 6) \leq 3 (x + 4)?
    1. x ≤0x \leq 0
    2. x ≥ 0x \geq 0
    3. x ≤24x \leq 24
    4. x ≥ 24x \geq 24
  5. Which one is a strict inequality?
    1. x+3 ≠ 0x + 3 \neq 0
    2. 12x > 5
    3. 2y−3 ≤02y - 3 \leq 0
    4. 4x+5 ≥ 04x + 5 \geq 0
  6. Solve: 3 − x ≥ 0
    1. x ≥ 3
    2. x ≤ 3
    3. x > 3
    4. x < −3
  7. Which property is used when the same number is added to both sides of an equation?
    1. Addition property
    2. Multiplication property
    3. Division property
    4. Transitive property
  8. The equation: ∣x∣=k,k>0
    1. No solution
    2. One solution
    3. Two solutions
    4. Infinite solutions
  9. Two equations having the same solution are called:
    1. Radical equations
    2. Equivalent equations
    3. Inequalities
    4. Quadratic equations
  10. Solve: √(2x) = 6
    1. 12
    2. 16
    3. 18
    4. 36

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

  1. Check whether the given value of each variable satisfies the inequality. 4−2x≤9;x=−34 - 2x \leq 9; x = -3
  2. Solve the following. 5−∣5y+1∣=−95 -|5y + 1| = -9
  3. Reduce the radical equation into simple linear equation then find their solution. In case of extraneous solution, write ϕ for solution set. 12−y+1=14 12 -\sqrt{y + 1} = 14
  4. Solve the following inequalities. 3x−2<7,x∈N3x - 2 < 7, x \in N
  5. Reduce the radical equation into simple linear equation then find their solution. In case of extraneous solution, write ϕ for solution set. 9−2x=5x−12\sqrt{9-2x} = \sqrt{5x-12}
  6. Solve the following equation for x. 2x+3=02x + 3 = 0
  7. Solve the following equation for x. 5x+3=55x + 3 = 5
  8. Solve the following absolute value equation, where x, y, z ∈ R. 3∣z−2∣−4=−23|z - 2 | - 4= -2

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

  1. Solve the following. 5x−4−410\frac{\sqrt{5x - 4} - 4}{10}
  2. Two times a number decreased by 5 is greater than or equal to the number increased by 8. Find the possible values for the number.
  3. Reduce the radical equation into simple linear equation then find their solution. In case of extraneous solution, write ϕ for solution set. 3x−5=−10 \sqrt{3x - 5} = -10