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Which of the following is the mean of the test scores listed below? 98, 79, 57, 85, 92, 87

A. 57

B. 92

C. 83

D. 87

Answer Explanation:

Therefore, the Correct Answer is C.

Q #1: Joe’s uncle is eight less than four times Joe’s age. Which of the equations represents Joe’s uncle’s age (u) as it relates to Joe’s age (k)?

A. u=8-4k

B. k=4u-8

C. k=8-4u

D. u=4k-8

Answer Explanation

We are asked to form an equation to find Joe’s uncle’s age to the age of Joe.

First, we find Joe’s age which is k. We know that Joe’s uncle’s age is four times that of Joe less 8. Then,

Joe’s uncle’s age, u = 4k-8.

Thus, the age of Joe’s uncle is u=4k-8.
Q #2: The length of a rectangular room is 2 feet greater than its width. Which of the following equations represents the area (A) of the room?

A. A=x(x+2)

B. A=2x+2(x+2)

C. A=2x(x+2)

D. A=2x

Answer Explanation
Q #3: Which of the following is the value of x in the equation below? (left|3x-7 ight|-13=2)

A. x = 21/3, x=22/3

B. x = 7/3, x=9/3

C. x = 15/2, x=9/3

D. x = 22/3, x=-8/3
Answer Explanation
1. Add 13 to both sides to isolate the absolute value term, resulting in ( left|3x-7 ight|= 15)
2. Consider two cases:
  - When (+(3x-7)) is positive, solve for x to get (3x = 15 + 7) then (3x=22) (finally x=frac{22}{3})
  - When (-(3x-7)) is negative (but the absolute value makes it positive). Solve for x to get (-3x = 15 - 7) then (-3x=8) (finally x=- frac{8}{3})
So, there are two possible solutions: (x=frac{22}{3} or x=- frac{8}{3})

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