Which of the following is the value of x in the equation below
A. x= -1/2 or x=3/2
B. x= -1 or x=2
C. x =-2 or x= 1
D. x= -3/2 or x= 1/2
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:
, 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 -1 or 2.
Therefore, the Correct Answer is B.
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? 100, 78, 47, 84, 93, 78
A. 80
B. 78
C. 96
D. 87
Answer Explanation
The mean of a data set is the total scores divided by the number of tests.
Total test scores =100+78+47+84+93+78=480
Number of tests =6
Mean test score =480/6=80
The mean test score is 80.
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Q #2: As the number of credit hours a student takes in a semester increases, the amount of tuition, the amount of access fees, and the number of student loans available also increase. Which of the following is the independent variable?
A. Amount of access fees
B. Amount of tuition
C. Number of student loans available
D. Number of credit hours
Answer Explanation
A change in number of credit hours result in a change in the amount of access fees, amount of tuition, and availability of student loans. Thus, number of credit hours is the independent variable.
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Q #3: A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, four times as many as nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?
A. 4 times as many
B. 5 times as many
C. 20 times as many
D. 10 times as many
Answer Explanation
In this problem, we need to compare the number of dimes to quarters.
If we let n be number of pennies in the bottle. Then,
Number of quarters in the bottle = 2n
Number of nickels in the bottle = 4n
Number of dimes in the bottle =5(4n)=20n
Now relating dimes to quarters, we have
Thus, there are 10 times as many dimes as quarters in the box.
