Question

simplify the expression using the distributive property: 8(0.5x + 3). 1. 8x + 3 2. 4x + 3 3. 8x + 24 4. 4x + 24

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c)=ab+ac\). For \(8(0.5x + 3)\), we distribute 8 to both terms inside the parentheses: \(8\times0.5x+8\times3\).

Step2: Calculate each term

Calculate \(8\times0.5x\): \(8\times0.5 = 4\), so \(8\times0.5x = 4x\). Calculate \(8\times3 = 24\). So the simplified expression is \(4x + 24\).

Answer:

1. \(4x + 24\) (assuming the fourth option is labeled as 4, with the text "4x + 24")