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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:

Add 13 to both sides to isolate the absolute value term, resulting in ( left|3x-7 ight|= 15)
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})

Therefore, the Correct Answer is D.

Q #1: The data below represents students’ test scores. Which of the following is the median of the set data? 80, 76, 92, 96, 44, 86, 56, 93, 69

A. 86

B. 69

C. 44

D. 80

Answer Explanation

Explanation: the median of a data set is the element that is found on the middle position.

To find median, organize the given data from the smallest to largest.

44, 56, 69, 76, 80, 86, 92, 93, 96

Now, the number of elements in the date set is 9, which is an odd number. The median falls in the position

(N+1)/2=(9+1)/2=10/2=5.

The number that falls in the 5th position is 80. Thus, 80 is the median of the data.
Q #2: Ann’s mother is twelve less than 2 times Ann’s age. Which of the equations represents Ann’s mother’s age (p) as it relates to Joe’s age (q)?

A. p=12-2q

B. q=2p-12

C. p=2q-12

D. q=12-2p

Answer Explanation
Q #3: Which of the following is the total number of whole boxes that measure 0.4 ft * 0.4 ft * 0.4 ft that can be stored in a room that measures 8 ft * 8 ft * 8 ft, if the size of the boxes cannot be altered?

A. 4000

B. 800

C. 400

D. 8,000

Answer Explanation

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