If x represents the width of a rectangle and length is six less than two times the width, which of the following expressions represents the length of the rectangle in terms of x?

A. 2x-6

B. 6-2x

C. 6x-2

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 two times width. Mathematically, this means

Length=2*width=2*x=2x

Now, the length is 6 less than 2 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:

Length =2x-6

Thus, the length of the rectangle is 2x-6.

Therefore, the Correct Answer is A.

Q #1: A child has collected 250 pennies, 200 nickels, 125 dimes, and 25 quarters. Which of the following charts accurately organizes the number of coins?

A. A

B. B

C. C

D. D

Answer Explanation

In this scenario, we use the given chart and scale provided to find the number of each coin and select the right number of coins the student collected.

It is clear that the first choice if the correct answer. The child collected 250 pennies, 200 nickels, 125 dimes, and 25 quarters.
Q #2: An athlete runs 5 miles in 25 minutes and then changes their pace to run the next 3 miles in 15 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?

A. 7 minutes

B. 5 minutes

C. 6.5 minutes

D. 8.5 minutes

Answer Explanation

to find the average time the athlete runs in 1 mile, find total time divided by total distance covered in the two runs.

Total distance=5+3=8 miles

Total time=25+15=40 minutes

We now know that the athlete runs 8 miles in 40 minutes, so the time the athlete will run in 1 mile will be:

In 5 minutes, the athlete runs 1 mile.
Q #3: One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 230 gallons of solution to clean all of the floors, how much ammonia is needed?

A. 1380 gallons

B. 6900 gallons

C. 1380 oz

D. 1400 oz

Answer Explanation

from the given data, one gallon of cleaning solution requires 6 oz of ammonia. The mathematical expression of this statement can be expressed in two ways:

Or

The question requires we find the amount of ammonia needed to make 230 gallons of the solution. So, we use the second option and proceed as follows:

From the above equation, gallon of solution will cancel, and oz of ammonia is left.

Therefore, the solution will require 1380 oz of ammonia.