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: Four friends are sharing a pizza. One friend eats a quarter of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
A. 1/6
B. 1/3
C. ¼
D. 1/5
Answer Explanation
We are asked to find the fraction of pizza the three friends shared equally.
First, the whole pizza is represented by 1. If one friend ate a quarter of the pizza, then:
First friend eats =1/4 of 1=1/4*1=1/4
Remaining fraction of the pizza=1-1/4=3/4
Now, the three friends share 3/4 amongst themselves equally. So, each friend gets
The three friends each gets 1/4 of the pizza.
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Q #2: Which of the following is an appropriate unit of measure to express the length of a width of a window?
A. Hectometers
B. Kilometers
C. Centimeter
D. Liters
Answer Explanation
The SI units of measuring length is meter. However, a meter can be a large unit or small quantity depending what is being measured. Therefore, derived units of meters are used to measure the length of an object. In our case, centimeters is the appropriate unit to measure the width of the window.
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Q #3: Simplify the expression above. Which of the following is correct?
A. 6
B. 18
C. 9
D. 22
Answer Explanation
To simplify this expression, we follow the order of operations as follows:
First, we start with the numerator and solve it as follows
[2(6+3*9)]
We start with multiplication in inner brackets, 3 * 9 = 27. The expression becomes
[2(6+27)]
Then, we carry out the addition of 6+27=33. Then, the expression yields
[2(33)]=2*33=66
Now, we solve for denominator, which is 6/2=3.
Thus, the expression is reduced into
The expression reduces into 22.
