Which of the following is the value of x in the equation below. (|2x - 4| - 10 = 2)
A. x=4 or x=-8
B. x=-4 or x=8
C. x=-2 or x=1
D. x=-3 or x=5
Explanation:
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:
If 
, 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 -4 or 8.
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
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Q #1: There are 900 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 Radiologic Technology program?
A. 162
B. 171
C. 378
D. 189
Answer Explanation
We use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.
If we let x represent the number of students enrolled in the Radiologic Technology program, we can set a proportion equation with number of students on the numerator and percentages on the denominator.
\(\frac{x}{21\%}\ =\ \frac{900}{100\%} \)
Find the value of x by cross-products
\(x\ *\ 100\%\ =\ 900\ students * 21\%\)
Divide both sides of the equation by 100%
\(x= \frac{900\ students\ *\ 21\%}{100\%}\ =\ 189\ students\)
Thus, 189 students out of 900 students will enroll for a respiratory care program.
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Q #2: Which of the following is the total number of whole boxes that measure 0.4 ft * 0.4 ft * 0.4 ft that can be stored in a room that measures 8 ft * 8 ft * 8 ft, if the size of the boxes cannot be altered?
A. 4000
B. 800
C. 400
D. 8,000
Answer Explanation
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Q #3: Which of the following is the independent variable in the equation below? p(n)=2n+9
A. n
B. 9
C. p
D. 4
Answer Explanation
An independent variable is a variable that is manipulated or changed in the experiment. Based on the given equation, the variable n is the one changed to get the required output, p. Thus, n is the independent variable.
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Q #4: Which of the following is the appropriate unit of a measure to express the weight of a pen?
A. Liter
B. Milliliter
C. Gram
D. Kilogram
Answer Explanation
Although we can measure the mass of the pen in kilogram, the unit is quite large and is not appropriate for measuring small objects. Liter and milliliter are units of measuring volume. Thus, gram is the appropriate unit for measuring weight of a pen.
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Q #5: A baker is using a cookie recipe that call for 5 2/7 cups of flour to yield 40 cookies. How much flour will the baker need to make 70 cookies using the same recipe?
A. 10 ¼ cups
B. 9 ½ cups
C. 10 ¾ cups
D. 9 ¼ cups
Answer Explanation
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Q #6: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 5.2 feet above the sidewalk?
A. 52 feet
B. 148 feet
C. 32.2 feet
D. 62.4 feet
Answer Explanation
In this problem slope represents the change in height above sidewalk to change in length of the ramp.
From the definition of slope
Letting x to be the minimum length of the ramp, then
Substituting with the known value of slope
Cross-multiply to find the value of x
Thus, the minimum length of the ramp needed is 62.4 feet to access to a door that is 5.2 feet above the sidewalk.
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Q #7: A baker is using a cookie recipe that call for 3 ¼ cups of flour to yield 30 cookies. How much flour will the baker need to make 16 cookies using the same recipe?
A. 1 11/15 cups
B. 5 8/15 cups
C. 10 13/15 cups
D. 3 ¾ cups
Answer Explanation
Explanation
We are asked to find the number of cups of flour, which requires the concept of proportions.
If we let x to represent the number of cups of flour to make 16 cookies. Then
Solve the value of x by cross-multiplying
Convert the mixed fraction into improper fraction in order to carry out multiplication
The baker needs 26/15 cups of flour needed to make 16 cookies. This is equal to 1 11/15 cups.
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Q #8: A cheese recipe calls for 1/2 cup of flour for every 3/8 cup of milk. To make a bigger batch, the chef uses 3 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 2 ¼ cups
B. 1 3/4 cups
C. 4 cups
D. 2 ¾ cups
Answer Explanation
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Q #9: A child has a bottle full of pennies, nickels, dimes, and quarters. There are four as many quarters as pennies, three times as many as nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than pennies?
A. 5 times as many
B. 10 times as many
C. 20 times as many
D. 15 times as many
Answer Explanation
Explanation:
In this question, we need to find the ratio of dimes to quarters.
If we let x be number of pennies in the bottle. Then,
Number of quarters in the bottle = 4x
Number of nickels in the bottle = 3x
Number of dimes in the bottle =5(3x)=15x
Now relating dimes to quarters, we have
Thus, there are 15 times as many dimes as pennies in the box.
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Q #10: Which of the following is the equivalence in pounds for 210 kg? (2.2 lb=1 kg)
A. 522 lb
B. 632 lb
C. 420 lb
D. 462 lb
Answer Explanation
We are asked to convert 210 kg to pounds using the given relation. We set up the following equation
The equivalence of 210 kg is 462 lb.
