Question

1. simplify using the distributive property: 4(2x + 7)

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b + c)=ab+ac \). Here, \( a = 4 \), \( b=2x \), and \( c = 7 \). So we distribute 4 to both terms inside the parentheses: \( 4\times2x+4\times7 \)

Step2: Calculate each product

Calculate \( 4\times2x = 8x \) and \( 4\times7=28 \)

Step3: Combine the results

Combine the two terms we got: \( 8x + 28 \)

Answer:

\( 8x + 28 \)