Question

Which of these is the algebraic expression for "5 times the sum of 2 and y?"

1) 5 ⋅ 2 + y
2) 2 5 ⋅ y
3) 2(5 y)
4) 5(2 y)

Answer 1

The algebraic expression for "5 times the sum of 2 and y" is 5(2 + y), which indicates that the sum of 2 and y is first calculated, then multiplied by 5.

Step-by-step explanation:

The algebraic expression for "5 times the sum of 2 and y" involves writing an expression that first reflects the sum of 2 and y, and then multiplying that sum by 5. To represent the sum of 2 and y, we use parentheses: (2 + y). To show that 5 is multiplied by the sum, we write it outside the parentheses: 5(2 + y). This indicates that everything inside the parentheses gets multiplied by 5. Thus, the correct algebraic expression is 5(2 + y).