Study Vault
Mathematics · Grade 11 CAPS

Equations & Inequalities

Equations & Inequalities is one of 10 topics in the Grade 11 Mathematics CAPS syllabus, covered across 3 lessons on Study Vault. Below are real practice questions from this topic with full worked answers.

Sample practice questions

Easy

1. Write down the quadratic formula for solving ax^2+bx+c=0.

Answer: x=(-b+-sqrt(b^2-4ac))/(2a) — The quadratic formula is x = (-b +/- sqrt(b^2-4ac)) / (2a).
Easy

2. For the equation 2x^2 - 3x - 5 = 0, calculate the discriminant b^2 - 4ac.

Answer: 49 — a=2, b=-3, c=-5: discriminant = (-3)^2 - 4(2)(-5) = 9 + 40 = 49.
Medium

3. Use the quadratic formula to solve 2x^2 - 3x - 5 = 0.

Answer: x=2.5 or x=-1 — Discriminant = 49. x = (3 +/- sqrt(49))/4 = (3 +/- 7)/4, giving x = 10/4 = 2.5 or x = -4/4 = -1.
Unlock the full Equations & Inequalities question bank free

Free account — daily streaks, XP, and every question in this topic.

← Exponents & Surds Number Patterns →