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
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.
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
-
Q #1: Which of the following is the independent variable in the equation below? A(f) = 92 + 2f
A. f
B. 2
C. A
D. 92
Answer Explanation
Given the equation A(f)=92+2f
To find the value of A(f), we need to manipulate the value of f. In this case, f is the independent variable while A(f) is the dependent variable.
-
Q #2: 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.
-
Q #3: Which of the following is the best estimate of the number of centimeters (cm) in 9 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A. 775 cm
B. 780 cm
C. 823 cm
D. 830 cm
Answer Explanation
Here we utilize the dimensional analysis of units of measurement of length to convert yards to cm as follows
9 yards is equal to 822.96 cm, which is about 823 cm.
-
Q #4: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 10 feet and a hypotenuse of 24 feet? (Round to the nearest tenth.)
A. 21.8 feet
B. 25 feet
C. 13.6 feet
D. 17.7 feet
Answer Explanation
Let the unknown length of the x. The resulting triangle is shown below.
We use the Pythagoras theorem as follows to find the unknown value of x as:
Thus, the value of unknown side of the triangle is 21.8 feet.
-
Q #5: A bucket containing 2 2/5 gallons of water is 4/7 full. How many gallons of water is in one fully filled bucket?
A. 4 1/5
B. 2 1/5
C. 4 4/5
D. 2 2/5
Answer Explanation
we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.
Convert the mixed fraction into proper fraction as follows
(2frac{2}{5}=frac{left(2ast5 ight)+2}{5}=frac{10+2}{5}=frac{12}{5})
If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
(frac{x gallons}{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})
Cross-multiply to find the value of x.
(frac{x }{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})
(x astfrac{4}{7}full tank=frac{12}{5} gallonsast1 full tank)
(x =frac{frac{12}{5} gallonsast1 full tank}{frac{4}{7}full tank}=frac{12}{5}divfrac{4}{7} gallons=frac{12}{5}astfrac{7}{4}gallons=frac{21}{5}gallons)
Converting 21/5 to a mixed fraction is 4 1/5. Thus, when the tank is full, it holds 4 1/5 gallons of water.
-
Q #6: Which of the following is the decimal equivalent of 15/27? (Round your answer to 2 decimal places).
A. 0.56
B. 5.56
C. 3.86
D. 0.36
Answer Explanation
Using a calculator to evaluate 15÷27 results in 0.5555555556. To two decimal places, the answer becomes 0.56.
Thus, 0.56 is the decimal equivalent of 15/27.
-
Q #7: 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 #8: Which of the following is the total number of whole boxes that measure 4 ft * 4 ft * 4 ft that can be stored in a room that measures 11.5 ft * 11.5 ft * 11.5 ft, if the size of the boxes cannot be altered?
A. 10
B. 24
C. 20
D. 18
Answer Explanation
The number of boxes is determined by volume of the room divided by volume of one box.
Number of boxes
Therefore, about 24 boxes can be stacked in the room.
-
Q #9: A bag contains six green balls, eight red balls, and three yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is green?
A. 10/17
B. 3/17
C. 2/17
D. 6/17
Answer Explanation
The probability of finding a green ball is given by
Total number of balls in the bag=6+8+3=17 balls
Therefore, the probability of drawing a green ball from the bag containing 17 balls is 6/17.
-
Q #10: A child has collected 100 pennies, 90 nickels, 50 dimes, and 5 quarters. Which of the following charts accurately organizes the number of coins? Chart 1 Chart 2 Chart 3 Chart 4
A. Chart 1
B. Chart 2
C. Chart 3
D. Chart 4
Answer Explanation
C organizes the collection correctly.
