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 farmer is planning for a growing season and want to know the trend in amount of rainfall in his area. He obtains rainfall falling in the first 5 months of the year as shown in the above table. Which of the following would best display the data? Month January February March April May Rainfall (mm) 20 6 14 28 34
A. Scatter plot
B. Pie chart
C. Line graph
D. Bar graph
Answer Explanation
Based rainfall falling for the first 5 months, a bar graph will give a great display for the farmer to decide when start planting. The horizontal scale will represent months of the year and vertical scale will present the amount of rainfall falling.
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Q #3: How many yards are in 27 feet?
A. 3 yards
B. 18 yards
C. 6 yards
D. 9 yards
Answer Explanation
Here we convert between feet and yards. We know 1 yard =3 feet. Then, 27 feet to yards will be:
Thus, 9 yards is equal to 27 ft.
