Jenny is working on simplifying the algebraic expression 4x−14

Question

when x=5
. Her steps are as follows:

Step 1: 45−14

Step 2: 20−14

Step 3: 6

In which step did Jenny make a mistake? What should she have done differently?

(1 point)
Responses

Step 2, Jenny should've added 4 and 5 to get 9.
Step 2, Jenny should've added 4 and 5 to get 9.

Step 3, 20−14
should be 20÷14
.
Step 3, 20 minus 14 should be 20 divided by 14.

Step 1, Jenny should've multiplied 4⋅5
instead of writing 5 as the exponent.
Step 1, Jenny should've multiplied 4 times 5 instead of writing 5 as the exponent.

Step 2, Jenny should've calculated the value of 45
to be 1,024.
Step 2, Jenny should've calculated the value of 4 to the 5th power to be 1,024.

Answer 1

Jenny made a mistake in Step 1.

Instead of writing \( 45 \) (which incorrectly suggests \( 4^5 \)), she should have evaluated \( 4x \) by multiplying \( 4 \) by \( 5 \). Therefore, the correct calculation should be:

Step 1: \( 4 \cdot 5 = 20 \)

From there, she would continue with:

Step 2: \( 20 - 14 = 6 \)

So, she should've multiplied \( 4 \) and \( 5 \) instead of interpreting the expression incorrectly as an exponent.

The correct response is: Step 1, Jenny should've multiplied \( 4 \cdot 5 \) instead of writing \( 5 \) as the exponent.