Question

This expression is in expanded form. Select the correct standard for: 4a - 5 +5(2a -b) + 7.

A. 14a - b + 2
B. 14a - 5b + 2
C. -a + 10b + 12
D. 14a - 5b + 12

Answer 1

To find the standard form, distribute the 5 in the expression and combine like terms. This results in 14a - 5b + 2, which matches option B.

Step-by-step explanation:

To find the correct standard form of the expression 4a - 5 + 5(2a - b) + 7, we need to distribute and combine like terms.

First, distribute the 5 into the parentheses:

• 5 * 2a = 10a
• 5 * -b = -5b

So the expression becomes:

4a - 5 + 10a - 5b + 7

Next, combine like terms:

• 4a + 10a = 14a
• -5 + 7 = 2

As there is no other term with b, we keep -5b as it is. Therefore, the expanded expression simplifies to:

14a - 5b + 2

This matches option B from the provided choices.