SCIDES PC10 Unit 5 Quiz 1-2 (Lesson 1)

Correct answer: B. Like terms have the same variable part with the same exponent. The term -7y³ has variable part y³, so y³ is a like term.

Correct answer: 8. The degree of a polynomial is the highest degree of any term. -2a⁴b³ has degree 4 + 3 = 7. 5a³b⁵ has degree 3 + 5 = 8. 8a²b² has degree 2 + 2 = 4. The highest degree is 8.

Correct answer: C. (4x³y³)²/(7x³y⁴) = 16x⁶y⁶/(7x³y⁴). Subtract exponents when dividing: x⁶/x³ = x³ and y⁶/y⁴ = y². The simplified result is 16x³y²/7.

Correct answer: 6. The degree of a polynomial is the highest degree of any term. -7x²y³ has degree 2 + 3 = 5. 5xy⁵ has degree 1 + 5 = 6. 8x²y² has degree 2 + 2 = 4. The highest degree is 6.

Correct answer: D. Remove the brackets: 5a³ - a² - 7a³ - 5a². Collect like terms: 5a³ - 7a³ - a² - 5a² = -2a³ - 6a².