The length of a rectangular room is 9 feet greater than its width. Which of the following equations represents the area (A) of the room?

A. A=9x

B. A=2x+2(x+9)

C. A=x(x+9)

D. A=x+(x+9)

Answer Explanation:

we are asked to find the area of the room from the given information.

The first step is to find equation relating the length of the room to its width. If we let the width of the room to be x. Then,

Width of the rectangle= x

Length of rectangle = (x+9)

Area of the rectangle, A= Length*width = (x+9)*x

A=x(x+9)

Therefore, the area of the rectangular room is x(x+9).

Therefore, the Correct Answer is C.

Q #1: To determine the cost of a meal, the restaurant considers the size of the meal, the number of toppings, and the amount of main ingredient. Which of the following is the dependent variable?

A. Amount of meal

B. Main ingredient

C. Cost of the meal

D. Number of toppings

Answer Explanation

We are asked to find the dependent variable from the given scenario. A dependent variable is one that changes to the change in an independent variable. In our problem, the cost of the meal will vary depending on the size of the meal, number of toppings, and amount of main ingredient. Therefore, cost is the dependent variable.
Q #2: Which of the following is the best approximation of 4 times the positive cube root of 23?

A. 12.7

B. 11.4

C. 16.2

D. 96.7

Answer Explanation
Q #3: There are 900 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the Radiologic Technology program?

A. 162

B. 171

C. 378

D. 189

Answer Explanation

We use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.

If we let x represent the number of students enrolled in the Radiologic Technology program, we can set a proportion equation with number of students on the numerator and percentages on the denominator.

\(\frac{x}{21\%}\ =\ \frac{900}{100\%} \)

Find the value of x by cross-products

\(x\ *\ 100\%\ =\ 900\ students * 21\%\)

Divide both sides of the equation by 100%

\(x= \frac{900\ students\ *\ 21\%}{100\%}\ =\ 189\ students\)

Thus, 189 students out of 900 students will enroll for a respiratory care program.

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The length of a rectangular room is 9 feet greater than its width. Which of the following equations represents the area (A) of the room?

More Questions on TEAS 7 Math

Q #1: To determine the cost of a meal, the restaurant considers the size of the meal, the number of toppings, and the amount of main ingredient. Which of the following is the dependent variable?

Answer Explanation

Q #2: Which of the following is the best approximation of 4 times the positive cube root of 23?

Answer Explanation

Q #3: There are 900 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the Radiologic Technology program?

Answer Explanation

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