Chapter-5 Equations and Inequalities — Online MCQ Test
MATHS · Grade 10 · IGCSE cambridge
Practice Chapter-5 Equations and Inequalities with a free chapter-wise online MCQ test.
This chapter covers: Solving linear quadratic and simultaneous equations and representing solutions of inequalities..
AI-generated questions from basic to board-exam level, with instant results and explanations.
Chapter-5 Equations and Inequalities — Important Questions & Answers
What is the solution to the linear equation 2x + 5 = 13?
- A. x = 4
- B. x = 9
- C. x = 3
- D. x = 6
Answer: A. x = 4
Subtracting 5 from both sides gives 2x = 8, then dividing by 2 gives x = 4.
Subtracting 5 from both sides gives 2x = 8, then dividing by 2 gives x = 4.
Which of the following is a quadratic equation?
- A. 3x + 2 = 0
- B. x² + 5x + 6 = 0
- C. 2x - 7 = 5
- D. 4x = 12
Answer: B. x² + 5x + 6 = 0
A quadratic equation has a degree of 2, meaning the highest power of x is 2. Only x² + 5x + 6 = 0 satisfies this.
A quadratic equation has a degree of 2, meaning the highest power of x is 2. Only x² + 5x + 6 = 0 satisfies this.
Solve the quadratic equation x² - 5x + 6 = 0
- A. x = 2 or x = 3
- B. x = 1 or x = 6
- C. x = -2 or x = -3
- D. x = 2 or x = -3
Answer: A. x = 2 or x = 3
Factoring: (x - 2)(x - 3) = 0, so x = 2 or x = 3. These values satisfy the original equation.
Factoring: (x - 2)(x - 3) = 0, so x = 2 or x = 3. These values satisfy the original equation.
The quadratic equation x² + bx + 4 = 0 has roots x = 1 and x = 4. What is the value of b?
- A. b = -5
- B. b = 5
- C. b = 4
- D. b = -4
Answer: A. b = -5
If roots are 1 and 4, then (x - 1)(x - 4) = x² - 5x + 4 = 0. Comparing with x² + bx + 4 = 0, we get b = -5.
If roots are 1 and 4, then (x - 1)(x - 4) = x² - 5x + 4 = 0. Comparing with x² + bx + 4 = 0, we get b = -5.
For the quadratic inequality x² - 4x + 3 > 0, which of the following is the solution?
- A. 1 < x < 3
- B. x < 1 or x > 3
- C. x ≤ 1 or x ≥ 3
- D. 1 ≤ x ≤ 3
Answer: B. x < 1 or x > 3
Factoring: (x - 1)(x - 3) > 0. The parabola opens upward, so the expression is positive when x < 1 or x > 3.
Factoring: (x - 1)(x - 3) > 0. The parabola opens upward, so the expression is positive when x < 1 or x > 3.