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Which of the following is the value of x in the equation below

A. x= -3 or x=4

B. x= -1 or x=2

C. x =-2 or x= 4

D. x= -3 or x= 5

Answer Explanation:

We are tasked to find the unknown values of x in the given equation.

First, we add 8 to both sides of the equation.

Next, we apply the absolute rule:

If   , a>0, then u=a or u=-a

From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes

Solving for x

The second condition (u= -a) becomes

Solving for x

Thus, the value of x is 4 or -3

Therefore, the Correct Answer is A.

More Questions on TEAS 7 Math

  • Q #1: Solve for z in the equation above.

    A. z=rwy+x

    B. z=rw+(y/x)

    C. z=y(x+rw)

    D. z=rw-(y/x)

    Answer Explanation

    We are asked to make z the subject of the formula.

    First, we subtract y/x from both sides of the equation

    Thus, the formula for finding the value of z is  .

  • Q #2: Which of the following is the mean of the test scores listed below? 99, 93, 67, 48, 92, 87

    A. 67

    B. 48

    C. 99

    D. 81

    Answer Explanation

    the mean of a data set is the sum of the scores divided by the number of tests.

    Total test scores =99+93+67+ 48+ 92+ 87=486

    Number of tests =6

    Mean test score =486/6=81

    The mean test score is 81.

  • Q #3: -3/5, -0.9, -1.9, -8/3 Of the number listed above, which number is the greatest?

    A. -3/5

    B. -0.9

    C. -1.9

    D. -8/3

    Answer Explanation

    To answer this question, we need to convert the numbers into a similar form. Converting decimal numbers into fraction is appropriate to finding the greatest number.

    -0.9 becomes 9/10

    -1.9 becomes 19/10

    Now we find the LCM of the denominators of the four fractions. The LCM of 5, 10 and 3 is 30. Multiply each fraction with the LCM to compare the fractions.

    -3/5*30=-18

    -9/10*30=-27

    -19/10*30=-57

    -8/3*30=-24

    The greatest number is -18, meaning -3/5 is the greatest number.