Which of the following is the best approximation of 6 times the positive square root of 42?
A. 60.3
B. 44.7
C. 30.0
D. 38.9
In this case, we use a calculator to estimate the positive square root of 42.
Then, multiplying the square root above with 6 becomes
Then, the approximate value of 6 time the positive square root of 42 is 38.9.
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 2 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A = 2x
B. A = 2x+2(x+2)
C. A = x+(x+2)
D. A = x(x+2)
Answer Explanation
we are asked to find the area of a rectangle, which can only be found by finding the relation between length and width. Now, letting x represent the width, then
Length of rectangle=(x+2)
Width of the rectangle= x
Area of the rectangle, A= Length*width=(x+2)*x
A=x(x+2)
Therefore, the area of the rectangle becomes x(x+2).
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Q #2: Solve for z in the equation above.
A. z=rwy+x
B. z=rw+(y/x)
C. z=y(x+rw)
D. z=rw-(y/x)
Answer Explanation
We are asked to make z the subject of the formula.
First, we subtract y/x from both sides of the equation
Thus, the formula for finding the value of z is
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Q #3: A teacher has asked all the students in the class which days of the week they get up after 9 a.m. which of the following is the best way to display the frequency for each day of the week?
A. Bar graph
B. Pie graph
C. Scatter plot
D. Histogram
Answer Explanation
A histogram will be appropriate to represent the time the students wake up every day of the week. The histogram is used to represent the frequency of the variable with another variable. In our case the vertical axis will represent the number of students (frequency) while the time of waking up on the horizontal axis.
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Q #4: Four friends are sharing a pizza. One friend eats a quarter of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
A. 1/6
B. 1/3
C. ¼
D. 1/5
Answer Explanation
We are asked to find the fraction of pizza the three friends shared equally.
First, the whole pizza is represented by 1. If one friend ate a quarter of the pizza, then:
First friend eats =1/4 of 1=1/4*1=1/4
Remaining fraction of the pizza=1-1/4=3/4
Now, the three friends share 3/4 amongst themselves equally. So, each friend gets
The three friends each gets 1/4 of the pizza.
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Q #5: The amount of salary a technician takes home in a month increases with sales of stocks, the amount of charge fees, and the number of working hours. Which of the following is the dependent variable?
A. Amount of salary
B. Charge fee
C. Working hours
D. Sales of stocks
Answer Explanation
Amount of salary will vary if the other three variables change. Therefore, salary is a dependent variable.
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Q #6: Which of the following is the best estimate of the number of centimeters (cm) in 4 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A. 370 cm
B. 290 cm
C. 365 cm
D. 350 cm
Answer Explanation
we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.
The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.
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Q #7: Which of the following is the best approximation of 6 times the positive square root of 42?
A. 60.3
B. 44.7
C. 30.0
D. 38.9
Answer Explanation
In this case, we use a calculator to estimate the positive square root of 42.
Then, multiplying the square root above with 6 becomes
Then, the approximate value of 6 time the positive square root of 42 is 38.9.
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Q #8: A circle has an area of 81π in2. Which of the following is the circumference of the circle in terms of pi ( π)?
A. 4.5 π in
B. 14 π in
C. 18 π in
D. 9 π in
Answer Explanation
we need to find the circumference of the circle from the given area.
The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:
Substituting the value of area in the above equation becomes
Dividing both sides by pi and taking square root on both sides yields
Now, we know the radius of circle to be 9 in, the circumference of the circle becomes,
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Q #9: To determine the cost of a phone, the seller considers the brand name, size of the RAM, and size of the battery. Which of the following is the dependent variable?
A. Cost of a phone
B. Brand name
C. Size of the RAM
D. Size of the battery
Answer Explanation
A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change in brand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.
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Q #10: Which of the following is the independent variable in the equation below? F(x)=5x+10
A. 10
B. F
C. 5
D. x
Answer Explanation
An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, x is variable that is changed to obtain the desired outcome, F(x). Therefore, x is an independent variable.
