How many yards are in 27 feet?
A. 3 yards
B. 18 yards
C. 6 yards
D. 9 yards
Here we convert between feet and yards. We know 1 yard =3 feet. Then, 27 feet to yards will be:
Thus, 9 yards is equal to 27 ft.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: One gallon of cleaning solution requires 10 oz of ammonia. If the maintenance department needs 51 gallons of solution to clean all of the floors, how much ammonia is needed?
A. 510 gallons
B. 51 gallons
C. 510 oz
D. 51 oz
Answer Explanation
We use given information to find how much ammonia is need to make the specified solution.
We are told, one gallon of cleaning solution requires 10 oz of ammonia. Expressing this mathematically yields two options:
\(\frac{10\ oz\ of\ ammonia}{1\ gallon\ of\ solution}\) or \(\frac{1\ gallon\ of\ solution}{10\ oz\ of\ ammonia}\)
Now we find how much ammonia is needed using option two.
\(51\ gallon\ of\ solution\ *\frac{10\ oz\ of\ ammonia}{1\ gallon\ of\ solution}\ =\ 510\ oz\ of\ ammonia\)
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 510 oz of ammonia.
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Q #2: Lana has $90. She spends 70% of the money. She then invests the remaining amount and earns a profit of 60%. How much money does she now have?
A. $16.20
B. $84.20
C. $43.20
D. $27.00
Answer Explanation
We need to find the amount Lana left after spending and investing another.
Lana spends=70% of $90=70/100 * 90 = $63
Amount left after spending=$(90-63) = $27
Lana is left with $27, which she will invest and earns a profit of 60%.
Profit earned=60% of $27 = 60/100 * 27 = $16.20
Therefore, Lana will have $27 + $16.20 = $43.20
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Q #3: The data below represents students’ test scores. Which of the following is the median of the set data? 24, 35, 18, 19, 22, 35, 16, 12, 26, 12, 23
A. 18
B. 22
C. 23
D. 19
Answer Explanation
The median of a data set is found in two ways:
For an odd data set, the median fall in the (N+1)/2 th position.
For an even data set, the median is the average of the element in the (N/2)th and (N+1)/2 th positions.
To find the median of the given data set, we need to arrange the elements from the smallest to the largest as follows:
12, 12, 16, 18, 19, 22, 23, 24, 26, 35, 35
There are 11 elements in the data set. 11 is an odd number and the median fall in the (N+1)/2 th position.
Median =(11+1)/2=12/2=6 th position.
From the organized data, the element in the 6th position is 22, which is the required median for the data set.
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Q #4: A child has collected 50 pennies, 45 nickels, 25 dimes, and 5 quarters. Which of the following charts accurately organizes the number of coins?
A. 1
B. 2
C. 3
D. 4
Answer Explanation
In this scenario, we use the given scale in the charts to find the number of each coin and selected the right number of coins the student collected.
From the above evaluations, option two is the correct choice.
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Q #5: When the marks of a science test are graphed, the distribution of markss is symmetric with the majority of weights centered around a single peak. Which of the following describes the shape of this distribution?
A. Uniform
B. Skewed right
C. Bell-shaped
D. Bimodal
Answer Explanation
In a bell-shaped curve, the data distribution is symmetric around a single peak. The centering of data around a single peak means the mean, mode and median of the test are all equal to each other.
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Q #6: How many yards are in 27 feet?
A. 3 yards
B. 18 yards
C. 6 yards
D. 9 yards
Answer Explanation
Here we convert between feet and yards. We know 1 yard =3 feet. Then, 27 feet to yards will be:
Thus, 9 yards is equal to 27 ft.
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Q #7: A circle has an area of 9 (pi) in2. Which of the following is the circumference of the circle in terms of pi ((pi))?
A. 12 π in
B. 6 π in
C. 9 π in
D. 3 π in
Answer Explanation
We need to find the radius of the circle from the given value of area. Then, the radius of the circle will be used to find the circumference of the circle.
The first step is to find the radius, r of the circle as
Thus, the circumference of a circle whose area is \(9\pi\ in\ ^2\)is 6
in. -
Q #8: 3(3x+3)=8x+5 Solve the equation above for x. Which of the following is correct?
A. 1
B. 4
C. -1
D. -4
Answer Explanation
We use the order of operation to solve for the unknown value of x.
3(3x+3)=8x+5
Multiply 3 with each number in the brackets
(3*3x)+(3*3)=8x+5
9x+9=8x+5
Subtract 9 from both sides
9x+9-9=8x+5-9
9x=8x-4
Subtract 8x on both sides
9x-8x=8x-8x-4
x=-4
Thus, the unknown value of x is -4.
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Q #9: A large pizza has a diameter of 12 inches. Which of the following is the area of the pizza in terms of pi ()?
A. 24 πi n2
B. 48 π in2
C. 18π in2
D. 36 π in2
Answer Explanation
Before finding the area of the pizza, we need to find the radius of the pizza.
Find radius of the pizza in terms of diameter
Next, find area of the pizza using the radius of 6 inches
Substituting r=6 in the equation of the area of a circle
Thus, the pizza has an area of 36 π in2.
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Q #10: Twelve less than thrice a number Which of the following translates the phrase above into a mathematical expression?
A. 3x - 12
B. 12 - 3x
C. 12x - 2
D. 3x + 12
Answer Explanation
We need to form a mathematical expression from the given word problem.
Let the unknown number be x.
Thrice a number is three times = 3x
Twelve less than thrice a number = 3x-12
Thus, the mathematical expression from the word problem is 3x-12
