100 Algebra Quiz Questions & Answers for Students 2026

Basic Algebra — 25 Questions

1. Solve: x + 5 = 12 → x = 7
2. Solve: 2x = 18 → x = 9
3. Solve: x - 9 = 3 → x = 12
4. Solve: x/4 = 5 → x = 20
5. Solve: 3x + 6 = 21 → x = 5
6. Solve: 5x - 10 = 40 → x = 10
7. Simplify: 3x + 2x → 5x
8. Simplify: 4a × 3b → 12ab
9. Expand: 2(x + 5) → 2x + 10
10. Expand: 3(2x - 4) → 6x - 12
11. Solve: 2(x + 3) = 14 → x = 4
12. Solve: 4x = -16 → x = -4
13. Solve: x/5 + 3 = 7 → x = 20
14. Factorise: x² + 5x → x(x + 5)
15. Evaluate 2x + 3y when x=4, y=2 → 14
16. Solve: 7 - x = 3 → x = 4
17. Solve: 2x + 3 = x + 10 → x = 7
18. Simplify: (x³)(x²) → x⁵
19. Simplify: x⁶ ÷ x² → x⁴
20. What is x⁰? 1 (any non-zero number raised to power 0 = 1)
21. Solve: |x| = 7 → x = 7 or x = -7
22. Solve: 3x - 7 = 2x + 5 → x = 12
23. Expand: (x+2)(x+3) → x² + 5x + 6
24. Factorise: x² + 7x + 12 → (x+3)(x+4)
25. What does "linear" mean in algebra? Variable has power of 1 — graph is a straight line

Quadratic Equations & Functions — 25 Questions

1. What is a quadratic equation? (Equation of form ax² + bx + c = 0)
2. What is the standard form of a quadratic? (ax² + bx + c = 0)
3. Solve: x² = 25 → x = ±5
4. Solve: x² - 5x + 6 = 0 → x = 2 or x = 3
5. Solve: x² + 2x - 8 = 0 → x = 2 or x = -4
6. What is the discriminant? (b² - 4ac — determines nature of roots)
7. If discriminant > 0, how many real roots? (2 distinct real roots)
8. If discriminant = 0, how many real roots? (1 repeated real root)
9. If discriminant < 0, how many real roots? (No real roots — complex roots)
10. What is vertex form of a quadratic? (y = a(x-h)² + k — vertex at (h,k))
11. What is f(x) notation? (Function notation — f of x — the output when x is input)
12. What is f(3) if f(x) = 2x + 1? (7)
13. What is the inverse of a function? (Swaps input and output — undoes the function)
14. What is a parabola? (U-shaped curve — graph of a quadratic function)
15. What is the axis of symmetry of y = ax² + bx + c? (x = -b/2a)