Hank is working on simplifying the algebraic expression 4x−14 when x=5 . His steps are as follows: Step 1: 45−14 Step 2: 20−14 Step 3: 6 In which step did Hank make a mistake? What should he have done differently? (1 point) Responses Step 1, Hank should've multiplied 4⋅5 instead of writing 5 as the exponent. Step 1, Hank should've multiplied 4 times 5 instead of writing 5 as the exponent. Step 2, Hank should've added 4 and 5 to get 9. Step 2, Hank should've added 4 and 5 to get 9. Step 2, Hank should've calculated the value of 45 to be 1,024. Step 2, Hank should've calculated the value of 4 to the 5th power to be 1,024. Step 3, 20−14 should be 20÷14 .

1 answer

Hank made a mistake in Step 1. He wrote \( 45 \) instead of correctly calculating \( 4 \cdot 5 \).

The correct steps should have been: Step 1: \( 4 \cdot 5 = 20 \) Step 2: \( 20 - 14 \) Step 3: \( 20 - 14 = 6 \)

So, the correct response is:

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