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

Answer Explanation:

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.

Q #1: 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.
Q #2: Which of the following values is the greatest?

A. 7/3

B. 5.2

C. 13/3

D. 5.15

Answer Explanation

The initial step is to convert the decimal numbers into fractions.

5.2 becomes 52/10

5.15 becomes 515/100

Next, find the least common denominator of 3, 10, and 100, which is 300. We use this value and multiply each fraction.

7/3*300=700

52/10*300=1560

13/3*300=1300

515/100*300=1545

From the above, 1560 is the greatest value which corresponds to 52/10. Thus, 5.2 is the greatest value of all the choices given.
Q #3: Lana has $90. She spends 70% of the money. She then invests the remaining amount and earns a profit of 60%. How much money does she now have?

A. $16.20

B. $84.20

C. $43.20

D. $27.00

Answer Explanation

We need to find the amount Lana left after spending and investing another.

Lana spends=70% of $90=70/100 * 90 = $63

Amount left after spending=$(90-63) = $27

Lana is left with $27, which she will invest and earns a profit of 60%.

Profit earned=60% of $27 = 60/100 * 27 = $16.20

Therefore, Lana will have $27 + $16.20 = $43.20

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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?

More Questions on TEAS 7 Math

Answer Explanation

Q #2: Which of the following values is the greatest?

Answer Explanation

Q #3: Lana has $90. She spends 70% of the money. She then invests the remaining amount and earns a profit of 60%. How much money does she now have?

Answer Explanation

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If x represents the width of a rectangle and length is four&nbsp;less than three&nbsp;times the width, which of the following expressions represents the length of the rectangle in terms of x?

More Questions on TEAS 7 Math

Answer Explanation

Q #2: Which of the following values is the greatest?

Answer Explanation

Q #3: Lana has $90. She spends 70% of the money. She then invests the remaining amount and earns a profit of 60%. How much money does she now have?

Answer Explanation

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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?