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Mathematics · Grade 10 CAPS

Algebraic Expressions & Exponents

Algebraic Expressions & Exponents is one of 9 topics in the Grade 10 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. Which of the following pairs are like terms?

Answer: 3x^2 and -7x^2 — Like terms have exactly the same variables raised to exactly the same powers; 3x^2 and -7x^2 both have x squared, so they are like terms.
Easy

2. Simplify: 5x + 3 - 2x + 7

Answer: 3x+10 — Collect like terms: 5x - 2x = 3x, and 3 + 7 = 10, giving 3x + 10.
Medium

3. Expand and simplify: 3(x + 2) - 2(x - 1)

Answer: x+8 — Expanding gives 3x + 6 - 2x + 2. Collecting like terms: (3x - 2x) + (6 + 2) = x + 8.
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