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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: Which of the following is the equivalence in pounds for 210 kg? (2.2 lb=1 kg)

    A. 522 lb

    B. 632 lb

    C. 420 lb

    D. 462 lb

    Answer Explanation

     

    We are asked to convert 210 kg to pounds using the given relation. We set up the following equation

    The equivalence of 210 kg is 462 lb.

  • Q #2: (frac{[2 (8 + 2 * 6)]}{(16 div 2)} = frac{40}{8} = 5) Simplify the expression above. Which of the following is correct?

    A. 6

    B. 2

    C. 5

    D. 3

    Answer Explanation

    We follow the order of operations to solve the given expression.

    First, we start with the numerator and solve

    [2(8+2*6)]

    We start with multiplication in inner brackets, 2*6=12. The expression becomes

    [2(8+12)]

    Then, we conduct the addition of 8+12=20. Then, the expression yields

    [2(20)] = 2*20 = 40

    Now, we solve for denominator, which is 16/2=8.

    Thus, the expression is reduced into

    (frac{[2 (8 + 2 * 6)]}{(16 div 2)} = frac{40}{8} = 5)

    The expression reduces into 5.

  • Q #3: How many liters are there in 560 milliliters?

    A. 5.6

    B. 0.56

    C. 56

    D. 5600

    Answer Explanation