If x represents the width of a rectangle and length is six less than two times the width, which of the following expressions represents the length of the rectangle in terms of x?
A. 2x-6
B. 6-2x
C. 6x-2
D. 3x-4
To form an equation from the word problem, first break the given statement into smaller statements.
First, we are given the width of the rectangle as x. We are told, the length is two times width. Mathematically, this means
Length=2*width=2*x=2x
Now, the length is 6 less than 2 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:
Length =2x-6
Thus, the length of the rectangle is 2x-6.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: Jacob has $100. She spends 87% of the money. She then invests the remaining amount and earns a profit of 75%. How much money does she now have?
A. $13.00
B. $87.00
C. $22.75
D. $9.75
Answer Explanation
We are needed to find the amount Jacob will be left with after spending and reinvesting the rest using the given information.
Amount Jacob spends=87% of $100=87/100*100=$87
Amount left to invest=$(100-87)=$13
Jacob is left with $13, which she invests and earns a profit of 75%.
Profit earned on invested amount=75% of $13=75/100*13=$9.75
So, Jacob will have $13+$9.75=$22.75
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Q #2: A large pizza has a diameter of 9 inches. Which of the following is the area of the pizza in terms of pi ()?
A. 11.25 πin2
B. 29.57 πin2
C. 18.35 πin2
D. 20.25 πin2
Answer Explanation
We need to find the radius in order to find the area of the pizza.
Radius of pizza
The area of the pizza
But r=4.5
Thus, the area of the pizza is 20.25
in2.NOTE:
is used as is since values of pi may vary e.g. 3.14, 3.142, 22/7. Hence we use pi symbol to generalize. -
Q #3: When the weights of the newborn babies are graphed, the distribution of weights 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. Bimodal
C. Bell-shaped
D. Skewed right
Answer Explanation
The distribution of the weights of the newborn babies is symmetric meaning the mean, mode, and median are all equal. Thus, the bell-shape curve describes this kind of distribution of weights
