Lloyd solves the equation 24x + 18(x – 2) = 216 for x. Some of his steps are shown. Step 1: 24x + 18(x – 2) = 216

Step 2: 24x + 18x – 36 = 216

Step 3: 42x – 36 = 216

Step 4: 42x = 252

Which of the following statements BEST describes what Lloyd did to get from Step 3 to Step 4?

Hi there!

Your answer is:

To get from step 3 to step 4, Lloyd added 36 to both sides. On the left side, this equaled 0 due to the additive inverse property! (-36 + 36 = 0!) On the right side, 36 is added to 216! (216+36 = 252)

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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