Joe’s uncle is eight less than four times Joe’s age. Which of the equations represents Joe’s uncle’s age (u) as it relates to Joe’s age (k)?
A. u=8-4k
B. k=4u-8
C. k=8-4u
D. u=4k-8
We are asked to form an equation to find Joe’s uncle’s age to the age of Joe.
First, we find Joe’s age which is k. We know that Joe’s uncle’s age is four times that of Joe less 8. Then,
Joe’s uncle’s age, u = 4k-8.
Thus, the age of Joe’s uncle is u=4k-8.
Therefore, the Correct Answer is d.
More Questions on TEAS 7 Math
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Q #1: As the number of working hours increases, the company experiences an increase profit, production, and a decrease in overhead costs. Which of the following is the independent variable?
A. Profit
B. Working hours
C. Production
D. Overhead costs
Answer Explanation
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Q #2: Which of the following is the mean of the test scores listed below? 90, 87, 74, 84, 93, 78
A. 87
B. 78
C. 90
D. 84
Answer Explanation
The mean of a data set is the total scores divided by the number of tests.
Total test scores =90+87+74+ 84+93+76=504
Number of tests =6 Mean test score =506/6=84
The mean test score is 84
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Q #3: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 6 feet and a hypotenuse of 14 feet? (Round to the nearest tenth.)
A. 15 feet
B. 12.6 feet
C. 18.3 feet
D. 9.2 feet
Answer Explanation
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Q #4: Which of the following is an appropriate unit of measure to express the length of a book?
A. Decameters
B. Kilometers
C. Centimeters
D. Meters
Answer Explanation
Explanation: centimeters is the appropriate unit to measure the length of a book.
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Q #5: As the number of credit hours a student takes in a semester increases, the tuition fees, 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. Tuition fees
C. Number of credit hours
D. Number of student loans available
Answer Explanation
A change in number of credit hours will lead to a change in the amount of access fees, amount of tuition fees, and availability of the number of student loans. Thus, number of credit hours is the independent variable.
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Q #6: A pharmaceutical company’s stock price was $20.33 on Monday. On Tuesday, the price went up $0.35. On Wednesday, the price decreased from Tuesday’s price by $1.05. On Thursday, the price went up $0.95 from Wednesday’s price. Which of the following was the final price on Thursday?
A. $20.68
B. $19.63
C. $20.63
D. $20.58
Answer Explanation
Thursday’s stock price is found by determining the price of the stock on Tuesday and Wednesday.
Stock price on Monday= $20.33
Stock price on Tuesday= $(20.33+0.35)=$20.68
Stock price on Wednesday =$(20.68-1.05)=$19.63
Stock price on Thursday = $(19.63+0.95)=$20.58
Therefore, the price of the stock on Thursday was $20.58
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Q #7: Which of the following is the median of the date set below? 9, -4, 6, -1, 13
A. 9
B. 6
C. -1
D. -4
Answer Explanation
To find the median, we arrange the give dataset in ascending order -4, -1, 6, 9, 13 There are 5 five numbers in the dataset and median will fall in (frac{(5+1)}{2}) position, which is third position. The element in the third position is 6. Therefore, 6 is the median of the give set of data.
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Q #8: -1/3, -0.6, -1.5, -7/3. Of the numbers listed above, which number is the greatest?
A. -0.6
B. -7/3
C. -1/3
D. -1.5
Answer Explanation
To find the greatest value, we need to have uniform numbers. That is, all numbers must be in fraction for easy comparison. Therefore, we convert -0.6, and -1.5 into fractions as follows. For purposes of easy computation, we do not simplify the resulting fractions.
-0.6=-6/10
-1.5=-15/10
Now, the resulting fractions are -1/3, -6/10, -15/10, and -7/3. The greatest value is found by finding the LCM of the denominators and multiplying with each fraction. The LCM of 3 and 10 is 30. Then,
-1/3*30=-10
-6/10*30=-18
-15/10*30=-45
-7/3*30=-70
Based on the obtained values, -10 is the greatest value and -70 the least value. Therefore, -1/3 is the greatest of all the four options.
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Q #9: 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 #10: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 5 feet and a hypotenuse of 17 feet? (Round to the nearest tenth.)
A. 18 feet
B. 14.4 feet
C. 9.8 feet
D. 16.2 feet
Answer Explanation
We are asked to find the one of the lengths of a right-angled triangle, we use the Pythagoras theorem to find the unknown length.
First, we label the triangle as below and let the unknown length be x.
Then, we apply the Pythagoras theorem to find the value of x as:
We take square-root on both sides
The value of the unknown length is 16.2 feet.
