If x represents the width of a rectangle and length is four less than three times the width, which of the following expressions represents the length of the rectangle in terms of x?
A. 4 - 3x
B. 3 - 4x
C. 4x - 3
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 three times width. Mathematically, this means
Length=3*width=3*x=3x
Again, the length is 4 less than 3 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:
Length =3x-4
This is the required equation.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: Which of the following is the equivalence in kg for 220 lb? (2.2 lb =1 kg)
A. 110 kg
B. 2.20 kg
C. 50 kg
D. 100 kg
Answer Explanation
We two conversions when asked to convert between kg and lb
And
We need kg equivalent of 220 lb, therefore we use option 1 and carry out the conversions as follows:
Thus, 100kg is equal to 220lb.
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Q #2: A student performs the following estimations. 35+192 230 258+350 610 947+1032 1980 Based on these estimations, which of the following is the student’s estimate of 694+7618?
A. 8320
B. 8500
C. 8300
D. 8310
Answer Explanation
Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows
35+192
227258+350=608
947+1032=1979
From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.
694+7618=8312
We can approximate 8312 based on the provided choices is 8310.
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Q #3: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 13 feet and a hypotenuse of 25 feet? (Round to the nearest tenth.)
A. 32 feet
B. 8 feet
C. 21.4 feet
D. 24 feet
Answer Explanation
From the given data, we can draw the following triangle by letting the unknown length to be p.
We apply the Pythagoras theorem, the value of p:
The unknown length of the triangle is about 21.4 feet.
