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?

a) 4x + 14
b) 4x + 12
c) 4x + 11
d) 4x + 10

Answer 1

To find an equivalent expression to 4(x+3) + 2, distribute the 4 to both x and 3, getting 4x + 12, and then add 2. The final equivalent expression is 4x + 14.

Step-by-step explanation:

The student is asking for an equivalent expression to 4(x+3) + 2. To find an equivalent expression, we need to apply the distributive property to the expression and combine like terms. The distributive property is a(b+c) = ab + ac. Applying this to 4(x+3), we get 4x + 12. Adding the 2 gives us 4x + 12 + 2.

Combining like terms (12 + 2), we have 4x + 14. Therefore, the equivalent expression to Marcus' expression is 4x + 14, which corresponds to option a).