John’s uncle is twelve less than five times John’s age. Which of the equations represents John’s uncle’s age (u) as it relates to John’s age (k)?
A. u = 12-5k
B. k = 5u-12
C. k = 12-5u
D. u = 5k-12
We are asked to determine John’s uncle’s age relating to John’s age.
First, express John’s uncle’s age in terms of John’s age as follows
John’s age=k
John’s uncle’s age, u = 5k-12.
Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=5k-12.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: The length of a rectangular room is 8 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A = w(w+8)
B. A = 2w+2(w+8)
C. A = 5(w+8)
D. A = w+(w+8)
Answer Explanation
To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then
Width of the rectangle= w
Length of rectangle=(w+8)
Area of the rectangle, A= Length*width=(w+8)*w
A=w(w+8)
Thus, the area of the rectangular room is w(w+8).
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Q #2: 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 #3: 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.
