Question

Which expressions are equivalent to 2(59 + 3h + 4)?

A. 10g + 6 + 8
B. 10g + 3h + 4
C. 59 + 3h + 4 + 59 + 3h + 4
D. 59 + 6h + 8

Answer 1

None of the provided options A, B, C, or D is equivalent to the expression 2(59 + 3h + 4). The correct distribution and simplification result in the expression 126 + 6h, which is not listed among the options.

Step-by-step explanation:

The student asked which expressions are equivalent to 2(59 + 3h + 4). To find equivalent expressions, we need to distribute the 2 across the terms inside the parentheses. By doing this, we get:

• 
  
• 
  
• 
  

Combining these together gives us the simplified expression: 118 + 6h + 8. Now, we add the constant terms 118 and 8 to get:

126 + 6h

This simplifies the expression further, but none of the provided options in the question exactly match this result. Therefore, no provided option is equivalent to the original expression 2(59 + 3h + 4). We notice that option C repeats the original expression twice, while option D is close but fails to account for the distribution and summation of the constant terms.