Master Identifying and Grouping Like and Unlike Terms

🔗 Like & Unlike Terms Quiz

Master Identifying and Grouping Like and Unlike Terms

📋 Instructions: Identify like terms (same variable parts) and unlike terms (different variable parts), then simplify by combining only the like terms. Unlike terms remain separate. Select the correct simplified form for each question.

1. Simplify: 4x + 3y + 2x

a) 6x + 3y b) 9xy c) 4x + 5y d) 9x + y

2. Which terms are like terms in: 5a, 3b, -2a, 4c, 7a?

a) 5a, -2a, 7a b) 3b, 4c c) All terms are like d) No like terms exist

3. Simplify: 3x² + 5x + 2x² - x

a) 5x² + 4x b) 9x³ c) 5x² + 6x d) 3x² + 4x

4. Simplify: 7ab + 3a + 2ab - 5a

a) 9ab - 2a b) 7ab + 8a c) 12ab - 2a d) 7a²b

5. Which expression cannot be simplified further?

a) 3x + 4y + 2z b) 5m + 3m - 2m c) 2p² + 3p² d) 4k + 7k

6. Simplify: 2xy + 3x + 4xy - x + 5

a) 6xy + 2x + 5 b) 6xy + 4x + 5 c) 14xy d) 2xy + 7x + 5

7. Simplify: -3p³ + 2p² + 5p³ - 4p²

a) 2p³ - 2p² b) 8p³ - 6p² c) 2p⁵ d) -3p³ + 6p²

8. Simplify: 6 + 4m - 3 + 2n - 5m

a) 3 - m + 2n b) 3 + 9m + 2n c) 9 - m + 2n d) 3 + m + 2n

9. Which pair contains unlike terms?

a) 3x and -7x b) 5y² and 2y² c) 4ab and 6ab d) 2z and 8z³

10. Simplify: 8rst + 3rs - 2rst + 4rs - 5rst

a) rst + 7rs b) 6rst + 7rs c) 11rst + 7rs d) 8rst + 2rs