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Which of the following is the value of x in the equation below. (|2x - 4| - 10 = 2)

A. x=4 or x=-8

B. x=-4 or x=8

C. x=-2 or x=1

D. x=-3 or x=5

Answer Explanation:

Explanation:

We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.

Add 10 to both sides of the equation

Next, we apply the absolute rule:

If , a>0, then u=a or u=-a

In this case a=12, which is greater 0. Then, the first condition becomes

Solving for x

The second condition becomes

Solving for x

Then, the value of x is -4 or 8.

Therefore, the Correct Answer is B.

More Questions on TEAS 7 Math

  • Q #1: A teacher has marked all math final exam for first years. He needs to track the performance of his subject. Which of the following is the best way to display the frequency for test scores of the final exams?

    A. Histogram

    B. Pie graph

    C. Scatter plot

    D. Bar graph

    Answer Explanation

  • Q #2: There are 900 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the respiratory care program?

    A. 162

    B. 171

    C. 378

    D. 189

    Answer Explanation

    we use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.

    If we let x represent the number of students enrolled in the respiratory care program, we can set a proportion equation with number of students on the numerator and percentages on the denominator.

    Find the value of x by cross-products

    Divide both sides of the equation by 100%

    Thus, 171 students out of 900 students will enroll for a respiratory care program.

  • Q #3: Which of the following is the decimal equivalent of 3/8?

    A. 375

    B. 3.75

    C. 37.5

    D. 0.375

    Answer Explanation