ATDH - Admission Test for Dental Hygiene Quantitative Reasoning: Algebra Questions and Answers

Question 1

A dental clinic budgets its monthly expenses based on the number of patients seen.
The clinic's fixed costs are $15,000 per month.
The variable cost per patient is $25.
If the total monthly expenses were $27,500, which equation correctly represents the situation and how many patients (p) were seen that month?

Accepted Answer

15000 + 25p = 27500; 500 patients

Answer

15000p + 25 = 27500; This is not the correct model.

Answer

15000 + 27500 = 25p; 1700 patients

Answer

25p - 15000 = 27500; 1700 patients

Question 2

A dental hygienist mixes a 2% fluoride solution with a 10% fluoride solution to create 80 ml of a 5% fluoride solution. How many milliliters of the 10% solution are needed?

Accepted Answer

30 ml

Answer

50 ml

Answer

20 ml

Answer

60 ml

Question 3

Which of the following inequalities represents the range of values for 'x' if |3x - 6| < 9?

Accepted Answer

-1 < x < 5

Answer

x > 5 or x < -1

Answer

x < 5

Answer

x > -1

Question 4

The number of bacteria in a culture triples every 4 hours. If the initial number of bacteria is B, what is the expression that represents the number of bacteria after 24 hours?

Accepted Answer

B * 3^6

Answer

B * 3^4

Answer

B * 3^24

Answer

B * (3*6)

Question 5

A dental supply company sells two types of gloves, latex and nitrile. The ratio of the price of a box of latex gloves to a box of nitrile gloves is 3:5. If a box of nitrile gloves costs $12.50, what is the cost of a box of latex gloves?

Accepted Answer

$7.50

Answer

$20.83

Answer

$4.17

Answer

$9.50

Question 6

Solve the following equation for x: (2x + 5) / 3 = 3x - 5

Accepted Answer

x = 20/7

Answer

x = -2

Answer

x = 10/7

Answer

x = 20/11