Equations, Inequalities & Logarithms is one of 9 topics in the Grade 11 Technical 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. Solve x^2 - 5x + 6 = 0 by factorisation. Give both solutions separated by "or".
Answer: x=2 or x=3 — Factorise: (x-2)(x-3)=0, so x=2 or x=3.
Easy
2. What is the standard form of a quadratic equation before applying the quadratic formula?
ax^2 + bx + c = 0
ax + b = 0
ax^2 = bx + c
a + bx^2 = c
Answer: ax^2 + bx + c = 0 — The quadratic formula requires the equation to be rearranged into the standard form ax^2 + bx + c = 0 first.
Medium
3. Solve 2x^2 - 3x - 5 = 0 using the quadratic formula. Give both solutions separated by "or".
Answer: x=2.5 or x=-1 — x = [3 +- sqrt(9+40)]/4 = [3 +- 7]/4, giving x=10/4=2.5 or x=-4/4=-1.
