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: To determine the cost of a meal, the restaurant considers the quantity of the meal, the number of toppings, and the types of spices. Which of the following is the dependent variable?
A. Size of meal
B. Cost of meals
C. Type of spices
D. Number of toppings
Answer Explanation
A dependent variable changes with any change made in an independent variable. From this case, cost of meals depends on other three options. In other words, the quantity of meal, number of toppings, and types of spices influence the cost of the meal.
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Q #2: Which of the following is an appropriate unit of measure to express the length of a door?
A. Liters
B. Kilometers
C. Millimeters
D. Meters
Answer Explanation
The length of the door could be appropriately measured in meters. Kilometers are used to measure long distances while millimeters could be used to measure the length of very small objects. However, liters are used to measure the volume of liquids or objects.
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Q #3: Which of the following is the decimal form of 58.7%?
A. 0.587
B. 5,870
C. 5.87
D. 587
Answer Explanation
percentages are fractions with denominator equal to 100. To get the decimal form of the percent given, e divide the value by 100.
The decimal form of 58.7% is 0.587.
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Q #4: A bag contains two green balls, three red balls, and seven yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is yellow?
A. 7/12
B. ¼
C. ½
D. 1/6
Answer Explanation
The probability of finding the probability of a yellow ball is given by
Total number of balls in the bag=2+3+7=12 balls
The probability of drawing a yellow ball from the bag is 7/12.
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Q #5: 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 #6: A child has a bottle full of pennies, nickels, dimes, and quarters. There are six as many quarters as pennies, two times as many as nickels as pennies, and 5 times as many dimes as nickels. How many more dimes does the child have than nickels?
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 p be number of pennies in the bottle. Then,
Number of quarters in the bottle = 6p
Number of nickels in the bottle = 2p
Number of dimes in the bottle =5(2p)=10p
Now relating dimes to nickels, we have
Thus, there are 5 times as many dimes as quarters in the box.
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Q #7: A baker is using a cookie recipe that calls for 3 ¼ cups of flour to yield 64 cookies. How much flour will the baker need to make 130 cookies using the same recipe?
A. 6 77/128 cups
B. 5 5/128 cups
C. 10 1/28 cups
D. 4 81/128 cups
Answer Explanation
we are asked to find the number of cups of flour that will be used to make 130 cookies.
First, we convert 3 ¼ into improper fraction as:
Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:
Solve the value of x by cross-products
Dividing both sides by 64, the above equation result to
Thus, the number of cups of flour needed to make 130 cookies is 845/128 cups, which is equal to 6 77/128 cups.
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Q #8: Three friends are sharing a pizza. One friend eats half of the pizza. The other two friends equally divide the rest among themselves. What portion of the pizza did each of the other two friends receive?
A. 1/6
B. 1/3
C. ¼
D. 1/5
Answer Explanation
we need to find the portion of pizza shared by two other friends.
We know that a whole pizza represents 1 and one friend eats half of it. So, the remaining amount left to other two friends is
Remaining fraction of the pizza=1-1/2=1/2
Now, the two friends share ½ amongst themselves equally. Then, each friend gets
The two friends each gets 1/4 of the pizza.
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Q #9: As the number of opening hours a bank opens in a week increases, the amount of transaction, the number of deposits, and the number of loans available also increase. Which of the following is the independent variable?
A. Opening hours
B. Amount of transactions
C. Number of loans available
D. Number of deposits
Answer Explanation
Based on the given case, the outcome of measuring the duration of opening the bank is the amount of transaction, the number of deposits, and the number of loans available. The three outcomes are dependent variables while the number of opening hours is the independent variable.
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Q #10: A pharmaceutical company’s stock price was $33.65 on Monday. On Tuesday, the price went up $1.23. On Wednesday, the price decreased from Tuesday’s price by $0.97. On Thursday, the price went up $2.75 from Wednesday’s price. Which of the following was the final price on Thursday?
A. $33.65
B. $33.91
C. $34.88
D. $36.66
Answer Explanation
The final price of the stock on Thursday can be found by finding the price on the previous day taking into account the price changes as follows.
The price of the stock on Monday was $33.65
On Tuesday the price of the stock went up by $1.23 from Monday’s price. Then, Tuesday’s price was $(33.65+1.23)=$34.88
The price of the stock on Wednesday decreased by $0.97 from Tuesday’s price. The price on Wednesday became $(34.88-0.97)=$33.91
Thursday’s price increased by $2.75 from Wednesday’s price, which was $(33.91+2.75)=$36.66
Therefore, the final price of the stock on Thursday was $36.66.
