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 statements is true about the graph?
A. The Chargers points per game decreased between seasons eight times between 1996 and 2015
B. The Chargers scored their lowest number of points per game in 1999-2000 season
C. The Chargers scored their greatest number of points per game in the 2008-09 season
D. None of the above
Answer Explanation
To find the true statement we need to analyze the given statements.
For statement 1: the points per game decreased five times between 1996 and 2015. So, the statement is false.
For statement 2: the lowest points scored per game was in 1998-99 season. So, the statement is false.
For statement 3: 2008-09 was the season the chargers scored the greatest number of points per game. So, this statement is true.
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Q #2: A bucket can hold 3 L. How many ml can the bucket hold?
A. 3000 mL
B. 300 mL
C. 30 mL
D. 0.003 mL
Answer Explanation
to change L to mL we use the following options of interconversions:
Or
Since we are needed to change L to mL, use the second option.
Thus, a bucket can hold 3000 mL which is equal to 3 L.
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Q #3: Lana has $60. She spends 80% of the money. She then invests the remaining amount and earns a profit of 80%. How much money does she now have?
A. $21.60
B. $86.40
C. $9.60
D. $60
Answer Explanation
we are needed to find the amount Lana is left with after spending and investing the rest using the given information.
Amount Lana spends = 80% of $60= 80/100 * 60 = $48
Amount left to invest = $(60-48) = $12
Lana is left with $12, which she invests and earns a profit of 80%.
Profit earned = 80% of $12 = 80/100 * 12 = $9.20
So, Lana will have $12 + $9.20 = $21.60
