Simplify the expression above. Which of the following is correct?
A. 6
B. 18
C. 9
D. 22
To simplify this expression, we follow the order of operations as follows:
First, we start with the numerator and solve it as follows
[2(6+3*9)]
We start with multiplication in inner brackets, 3 * 9 = 27. The expression becomes
[2(6+27)]
Then, we carry out the addition of 6+27=33. Then, the expression yields
[2(33)]=2*33=66
Now, we solve for denominator, which is 6/2=3.
Thus, the expression is reduced into
The expression reduces into 22.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: A macaroni and cheese recipe calls for 1/4 cup of flour for every 1 1/6 cup of milk. To make a bigger batch, the chef uses 5 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 21 3/5 cups
B. 20 1/3cups
C. 23 4/9 cups
D. 23 1/3 cups
Answer Explanation
notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as cup of floorcup of milk
. If we let the x be the number of cups of milk needed, then
As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.
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Q #2: 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 #3: 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).
