Equations & Inequalities is one of 9 topics in the Grade 10 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 for x: 3x+5=2x+12.
Answer: 7 — Subtract 2x from both sides: x+5=12. Subtract 5: x=7.
Easy
2. What is the most efficient first step when solving an equation containing fractions?
Multiply every term by the LCD of all the fractions
Add all the numerators together
Ignore the fractions and solve the whole numbers only
Square both sides of the equation
Answer: Multiply every term by the LCD of all the fractions — Multiplying every term by the lowest common denominator clears all fractions at once, leaving an ordinary linear equation.
Medium
3. Solve for x: 2x+31=65.
Answer: 1 — Multiply every term by the LCD, 6: 3x+2=5, so 3x=3, giving x=1.
