Question

Marcus wrote the expression 4(x+3) + 2 to show the amount of money four friends paid for snacks after school. Which expression is equivalent to the expression Marcus wrote?

Answer 1

To find an equivalent expression to 4(x+3) + 2, you need to distribute 4 into the parentheses, yielding 4x + 12, and then add the 2, resulting in the equivalent expression 4x + 14.

Step-by-step explanation:

The expression 4(x+3) + 2 represents the total amount of money paid for snacks by four friends after school. To find an equivalent expression, we distribute the 4 into the parentheses and then add the 2:

Step 1: Distribute the 4

• 4(x+3) = 4*x + 4*3
• 4(x+3) = 4x + 12

Step 2: Add the 2

• 4x + 12 + 2 = 4x + 14

Thus, the equivalent expression to Marcus' original expression 4(x+3) + 2 is 4x + 14.