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 length of a rectangular room is 9 feet greater than its width. Which of the following equations represents the area (A) of the room?

A. A=9x

B. A=2x+2(x+9)

C. A=x(x+9)

D. A=x+(x+9)

Answer Explanation

we are asked to find the area of the room from the given information.

The first step is to find equation relating the length of the room to its width. If we let the width of the room to be x. Then,

Width of the rectangle= x

Length of rectangle = (x+9)

Area of the rectangle, A= Length*width = (x+9)*x

A=x(x+9)

Therefore, the area of the rectangular room is x(x+9).
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: -1/3, -0.6, -1.5, -7/3. Of the numbers listed above, which number is the greatest?

A. -0.6

B. -7/3

C. -1/3

D. -1.5

Answer Explanation

To find the greatest value, we need to have uniform numbers. That is, all numbers must be in fraction for easy comparison. Therefore, we convert -0.6, and -1.5 into fractions as follows. For purposes of easy computation, we do not simplify the resulting fractions.

-0.6=-6/10

-1.5=-15/10

Now, the resulting fractions are -1/3, -6/10, -15/10, and -7/3. The greatest value is found by finding the LCM of the denominators and multiplying with each fraction. The LCM of 3 and 10 is 30. Then,

-1/3*30=-10

-6/10*30=-18

-15/10*30=-45

-7/3*30=-70

Based on the obtained values, -10 is the greatest value and -70 the least value. Therefore, -1/3 is the greatest of all the four options.

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

More Questions on TEAS 7 Math

Q #1: The length of a rectangular room is 9 feet greater than its width. Which of the following equations represents the area (A) of the room?

Answer Explanation

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?

Answer Explanation

Q #3: -1/3, -0.6, -1.5, -7/3. Of the numbers listed above, which number is the greatest?

Answer Explanation

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