Which of the following is the value of x in the equation below
A. x= -4/3 or x=2
B. x= -1 or x=2
C. x =-2 or x= 1
D. x= -3/2 or x= 1/2
we find the value of x by applying the absolute conditions to the given equation.
First, add 2 to both sides of equation
Add 10 to both sides of the equation
Next, we apply the absolute rule:
If u=a
, a>0, then u=a or u=-a
In this case a=5, which is greater 0.
The first condition becomes
Solving for x
The second condition becomes
Solving for x
Then, the value of x is -4/3 or 2.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: Which of the following is the mean of the test scores listed below? 80, 68, 74, 87, 96
A. 80
B. 78
C. 96
D. 81
Answer Explanation
the mean of a data set is the total scores divided by the number of tests.
Total test scores =80+68+74+87+96=405
Number of tests =5
Mean test score =405/5=81
The mean test score is 81.
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Q #2: A circle has an area of 64π in2. Which of the following is the circumference of the circle in terms of pi ( π)?
A. 9 π in
B. 16 π in
C. 4 π in
D. 8 π in
Answer Explanation
we need determine the radius of the circle before we can find the circumference of the circle from the given area.
Let r be the radius of the circle, then
Substituting the value of area
Dividing both sides by pi and taking square root on both sides yields
Now, the radius of the circle is 8 in. and the circumference of the circle is given by the relation:
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Q #3: There are 800 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 nursing program?
A. 168
B. 144
C. 336
D. 152
Answer Explanation
we are asked to find the number of students enrolled in the nursing program using the percentages in the pie chart.
If we let x represent the number of students enrolled in the nursing program, we set a proportion equation with number of students on the numerator and percentages on the denominator.
Total percent in the pie chart is 100%, which equals 800 students. Then, 42% will represent
We solve the value of x by cross-multiplying the equation above.
Therefore, 336 students will enroll for a nursing program.
