Question

1. 5.2 simplify -8w + 9 - 4 - 5 - w
2. 5.2 simplify -5b - 5 - 6 + 4b² + b² - 8b
3. 5.3 simplify -5(-4a + 5)
4. 5.3 simplify -(-2y + 5)
5. 5.4 simplify 4 - 6(8 + 5x)

Explanation:

Problem 2

Step1: Combine like terms for \(w\)

\(-8w - w = -9w\)

Step2: Combine constant terms

\(9 - 4 - 5 = 0\)

Step3: Combine results

\(-9w + 0 = -9w\)

Step1: Combine like terms for \(b^2\)

\(4b^2 + b^2 = 5b^2\)

Step2: Combine like terms for \(b\)

\(-5b - 8b = -13b\)

Step3: Combine constant terms

\(-5 - 6 = -11\)

Step4: Combine results

\(5b^2 - 13b - 11\)

Step1: Apply distributive property

\(-5 \times (-4a) + (-5) \times 5 = 20a - 25\)

Answer:

\(-9w\)

Problem 3