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
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
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Q #1: A macaroni and cheese recipe calls for 1/4 cup of flour for every 1 1/6 cup of milk. To make a bigger batch, the chef uses 5 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 21 3/5 cups
B. 20 1/3cups
C. 23 4/9 cups
D. 23 1/3 cups
Answer Explanation
notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as cup of floorcup of milk
. If we let the x be the number of cups of milk needed, then
As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.
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Q #2: 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
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Q #3: A person weighed themselves at 176 lb. Four months later they weighed themselves at 186 lb. Which of the following is the percent of weight the person gained over 4 months? (Round to the nearest percent.)
A. 6%
B. 10%
C. 11%
D. 9%
Answer Explanation
we are asked to find the percent change in weight gain of a person.
First, we need to find the change in weight gained over the 4 months
Change in weight= 186-176=10 lb
The percent change is expressed as change in weight over original weight *100. Then
The percent change in weight is 6% to the nearest whole number.
