A garden in the shape of a square has an area of 13 square feet. Each side of the garden has a length of √13 feet. Which of the following is the best decimal approximation for the length of each side?
A. 4.5 feet
B. 6.5 feet
C. 3.6 feet
D. 2.6 feet
In this problem, to find one side of the square garden, we use the calculator to find the square root of 13. Thus
Thus, the approximate side of a square garden is about 3.6 ft
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: Simplify the expression below. Which of the following is correct? \(18x^5yz\ \div\ \ 6xyz^4\)
A. \(3x^4z^3\)
B. \(3x^4yz^3\)
C. \(\frac{(3x)^4}{z^3}\)
D. \(\frac{(3x^4)}{z^3}\)
Answer Explanation
We use the properties of exponent with the same base to solve for above expression.
Multiplication of exponents with same base, we add the exponents
Division of exponents with same base, we subtract the exponents
Using these two properties, we can solve the expression:
Now we use the following properties:
y0 =1, and
, thus
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Q #2: Which of the following is the value of x in the equation below? 4x- 3- 5x=24
A. -27
B. -6
C. 3
D. 21
Answer Explanation
to solve for x, we order like terms together and proceed as follows:
4x-3-5x=24
Add 3 to both sides of the equation
4x-3+3-5x=24+3
4x+3-3-5x=27
4x-5x=27
-x=27
Divide both sides by -1
-x/-1=27/-1
x= -27
Thus, the unknown value of x is -27
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Q #3: The width of a rectangle is 4 inches (in) and the area of the rectangle is 32 in2. Which of the following is the length of the rectangle?
A. 8 in
B. 28 in
C. 36 in
D. 128 in
Answer Explanation
We need to find the length of the rectangle from the given area and width of the rectangle. Let L be length if the rectangle. Then,
Area of rectangle=Length*width
Substituting area=32 in2 and w=4 inches
32=L*4
32=4L
Divide both sides by 4
32/4=4L/4
8=L
The length of the rectangle is 8 inches.
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Q #4: Which of the following is 3/8 divided by 5/8?
A. 10/9
B. 9/10
C. 3/5
D. 5/12
Answer Explanation
When dividing fractions, the division sign is changed into multiply sign and the first fraction is multiplied by the inverse of the second fraction.
Change division to multiply sign and find invers of 5/8. The inverse of a fraction is inverting the given fraction. The denominator becomes the numerator and the numerator becomes the denominator.
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Q #5: The graph below compares the age of car to its value. Which of the following is the age of the car when its value is $12,500?
A. Between 2 and 3 years
B. Less than 1 year
C. Greater than 3 years
D. Between 1 and 2 years
Answer Explanation
We extrapolate the values of a line between 10 and 15 on y-axis to meet the curve and drop another line from the intersection of the curve to meet the x-axis and read off the age of the car.
Now, let’s extrapolate in the following diagram
The intersection of the line and the x-axis is between 4 and 5 years. This means that the car is about 4.5 years old. From the options given, the age of the car is more than 3 years old.
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Q #6: The table below shows the miles driven as a function of gallons of gas used, what does the ordered pair (6,144) represent?
A. The driver can go 24 miles in 1 hour
B. The driver can go 144 miles with 6 gallons of gas
C. The driver can go 6 miles with 144 gallons of gas
D. The driver can go 144 miles in 6 hours
Answer Explanation
from the provided table, the first option represents the amount of gas in gallons while the second column shows the distance in miles. Thus, (6, 144) will denote that the car can 144 miles by consuming 6 gallons of a gas.
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Q #7: A recipe calls for 2.5 teaspoons of vanilla, 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 12.325 mL
B. 5.32 mL
C. 7.43 mL
D. 0.507 mL
Answer Explanation
We are given that 1 teaspoon=4.93 mL, we can interpret it as:
Or
Since we are to find the amount in mL, we look for an option that will cancel teaspoon and remain with mL. The second option is the required conversion, and we proceed as follows:
Therefore, 2.5 teaspoons hold about 12.325 mL.
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Q #8: Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza does each of the other three friends receive?
A. 1/6
B. 1/5
C. 1/3
D. 1/4
Answer Explanation
A whole pizza is equivalent to 1. Then
One friend eats half of the pizza=1/2 of 1=1/2*1=1/2
Remaining amount of pizza to be shared=1-1/2=2/2-1/2=1/2
Now, three friends share ½ equally and each friend will get,
Thus, the three friends each share 1/6.
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Q #9: If the trend below continues, which of the following is the best estimate of the average price of a home in 2016?
A. $155,000
B. $120,000
C. $125,000
D. $140,000
Answer Explanation
Looking at the given trend, it is observed that the price increases with years. From 2008 to 2012, the price is fairly constant but we expect it to be more than $130,000 in the year 2016. The expected price in 2016 is $140,000.
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Q #10: 7x - 6= 3x - 26 Solve the equation above for x. Which of the following is the value for x?
A. -5
B. 6
C. 5
D. -8
Answer Explanation
Here we collect like terms together and solve for the unknown value of x.
7x-6=3x-26
Add 6 to both sides of the equation
7x-6+6=3x-26+6
7x=3x-20
Subtract 3x from both sides of the equation
7x-3x=-20
4x=-20
Divide both sides by 4
4x/-4=-20/4
x = -5
The value of x = -5
