ATB - Ability to Benefit Quantitative Reasoning and Algebra Questions and Answers

Question 1

A rectangular garden has a length of (2x + 5) meters and a width of (x - 3) meters. Which of the following expressions represents the perimeter of the garden in meters?

Accepted Answer

6x + 4

Answer

2x + 4

Answer

3x + 2

Answer

2x^2 - x - 15

Question 2

A local community center is organizing a trip. A bus can be rented for a flat fee of $200, plus an additional $15 for each person who attends. If 'p' represents the number of people attending, which equation correctly models the total cost 'C'?

Accepted Answer

C = 15p + 200

Answer

C = 200 - 15p

Answer

C = 200p + 15

Answer

C = (200 + 15)p

Question 3

Solve the following inequality for x: 3x - 7 < 14

Accepted Answer

x < 7

Answer

x > 7

Answer

x < 3

Answer

x > 3

Question 4

The ratio of cars to parking spots in a garage is 3 to 5. If the garage has a total of 240 parking spots, how many cars are currently in the garage?

Accepted Answer

144

Answer

80

Answer

400

Answer

240

Question 5

Which of the following is an example of an irrational number?

Accepted Answer

√12

Answer

√49

Answer

0.75

Answer

9/2

Question 6

A cell phone plan costs $30 per month and includes 2 gigabytes (GB) of data. Each additional gigabyte of data costs $8. If a customer's bill was $54 for one month, how many additional gigabytes of data did they use?

Accepted Answer

3 GB

Answer

2 GB

Answer

4 GB

Answer

7 GB

A rectangular garden has a length of (2x + 5) meters and a width of (x - 3) meters.Which of the following expressions represents the perimeter of the garden in meters?

A rectangular garden has a length of (2x + 5) meters and a width of (x - 3) meters.
Which of the following expressions represents the perimeter of the garden in meters?