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Which of the following is the value of x in the equation below

A. x= -4 or x=2

B. x= -2 or x=3

C. x =-2 or x= 4

D. x= -2 or x= 1

Answer Explanation:

we find the value of x by applying the absolute conditions to the given equation.

First, add 2 to both sides of equation

The absolute conditions are:

If   , a>0, then u=a or u=-a

In this case a=10, which is greater 0.

The first condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

The second condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

Then, the value of x is 3 or -2.

Therefore, the Correct Answer is B.

More Questions on TEAS 7 Math

  • Q #1: A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, three times as many as nickels as pennies, and six times as many dimes as nickels. How many more dimes does the child have than quarters?

    A. 10 times as many

    B. 5 times as many

    C. 6 times as many

    D. 9 times as many

    Answer Explanation

    In this task, we use the relation from the given scenario to compare the number of dimes to quarters.

    If we let p be number of pennies in the bottle. Then,

    Number of quarters in the bottle = 2p

    Number of nickels in the bottle = 3p

    Number of dimes in the bottle =6(3p)=18p

    Now relating dimes to quarters, we have

    Thus, there are 9 times as many dimes as quarters in the box.

  • Q #2: A teacher has asked all the students in the class what is their favorite color is and separates the responses into five categories. The results are shown in the table below. which of the following is the best way to display the frequency for each color? Color Red Black Green White Other Number of students 12 25 8 5 10

    A. Histogram

    B. Pie chart

    C. Scatter plot

    D. Line graph

    Answer Explanation

    A histogram is used to visualize the frequency of a one variable over the other while a line graph is used to compare two variables.

    A scatter plot used to show the correlation between two variables.

    A pie chart is used to show the proportion of the given information in circle, with each section of a circle representing a given fraction of a whole.

    From the given information, a pie chart is an appropriate tool show the frequency of the students choosing their favorite color.  

  • Q #3: Japheth’s uncle is 10 less than three times Japheth’s age. Which of the equations represents Japheth’s uncle’s age (u) as it relates to Japheth’s age (k)?

    A. u=10-3k

    B. u=3k-10

    C. k=3u-10

    D. k=10-3u

    Answer Explanation

    We are asked to determine Japheth’s uncle’s age relating to Japheth’s age.  

    First, express Japheth’s uncle’s age in terms of Japheth’s age as follows

    Japheth’s age=k

    Japheth’s uncle’s age, u = 3k-10.

    Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=3k-10.