Chapter Exam

Chapter-5 Equations and Inequalities — Online MCQ Test

Q: What is the solution to the linear equation 2x + 5 = 13?

Answer: A. x = 4 — Subtracting 5 from both sides gives 2x = 8, then dividing by 2 gives x = 4.

Q: Which of the following is a quadratic equation?

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.

Q: Solve the quadratic equation x² - 5x + 6 = 0

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.

Q: The quadratic equation x² + bx + 4 = 0 has roots x = 1 and x = 4. What is the value of b?

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.

Q: For the quadratic inequality x² - 4x + 3 > 0, which of the following is the solution?

Answer: B. x 3 — Factoring: (x - 1)(x - 3) > 0. The parabola opens upward, so the expression is positive when x 3.

MATHS · Grade 10 · IGCSE cambridge

Practice Chapter-5 Equations and Inequalities with a free chapter-wise online MCQ test for IGCSE cambridge Grade 10 MATHS. 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.

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Chapter-5 Equations and Inequalities — Important Questions & Answers (FAQ)

Frequently asked questions from IGCSE cambridge Grade 10 MATHS — Chapter-5 Equations and Inequalities, with answers and explanations. These are sample questions; the exam has its own separate question set.

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.

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.

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.

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.

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.

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