Question

Which algebraic expression is equivalent to the expression below?

8(3x + 6) + 13

A.
24x + 35
B.
72x
C.
24x + 61
D.
8x + 9

Answer 1

The equivalent expression to 8 × (3x + 6) + 13 is found by distributing the 8 and combining like terms, resulting in 24x + 61.

Step-by-step explanation:

To find an algebraic expression equivalent to 8 × (3x + 6) + 13, we first apply the distributive property by multiplying 8 with each term inside the parentheses. This results in:

• 8 × 3x = 24x
• 8 × 6 = 48

Thus, the expression becomes 24x + 48 + 13. Adding the constants gives us 24x + 61, so the correct answer is:

C. 24x + 61

We perform these steps to simplify the algebra and to check if our final answer is reasonable.