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Praxis Mathematics (5165 ) Exam Practice
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The Praxis Mathematics (5165 ) Exam is a test required by many states for credential candidates planning to teach mathematics at the high school level. It is a single, computer-delivered test that includes questions from two content categories.

The first content category includes Number and Quantity, Algebra, Functions and Calculus. The second content category includes Geometry, Probability and Statistics, and Discrete Mathematics.

The test consists of various question types including selected-response, numeric entry, drag-and-drop and text completion.

Praxis Mathematics (5165 ) Exam Practice
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25 Questions

1. A school is selling tickets to its production of Annie Get Your Gun. Student tickets cost $3 each, and non-student tickets are $5 each. In order to offset the costs of the production, the school must earn at least $300 in ticket sales. Which graph shows the number of tickets the school must sell to offset production costs?

2. Find  if .
3. Which of these would best illustrate change over time?
4. Which of these statements is (are) true for function ?
I. II. The graph of  is discontinuous at . III. The range of  is all real numbers.
5. Which of these is equivalent to  if ?
6. Use the following proof:

Statement

Reason

1.

Given

2.

3.

Given

4.

Given

5.

6.

7.

Given:

Prove:

Step 6 in the proof should contain which of the following statements?
7. Which of these does NOT have a solution set of ?
8. The ratio of employee wages and benefits to all other operational costs of a business is 2:3. If a business's operating expenses are $130,000 per month, how much money does the company spend on employee wages and benefits?
9. Solve the system of equations:
10. Evaluate
11. In a town of 35,638 people, about a quarter of the population is under the age of 35. Of those, just over a third attend local K-12 schools. If the number of students in each grade is about the same, how many fourth graders likely reside in the town?
12. Find the derivative of .
13. A man looks out of a window of a tall building at a 45° angle of depression and sees his car in the parking lot. When he turns his gaze downward to a 60angle of depression, he sees his wife's car. If his car is parked 60 feet from his wife's car, about how far from the building did his wife park her car?
14. The graph below shows Aaron's distance from home at times throughout his morning run. Which of the following statements is (are) true? I. Aaron's average running speed was 6 mph. II. Aaron's running speed from point A to point B was the same as from point D to E. III. Aaron ran a total distance of four miles.
15. At today's visit to her doctor, Josephine was prescribed a liquid medication with instructions to take 25 cc's every four hours. She filled the prescription on her way to work, but when it came time to take the medicine, she realized that the pharmacist did not include a measuring cup. Josephine estimated that the plastic spoon in her desk drawer was about the same size as a teaspoon and decided to use it to measure the approximate dosage. She recalled that one cubic centimeter (cc) is equal to one milliliter (mL) but was not sure how many milliliters were in a teaspoon. So, she noted that a two-liter bottle of soda contains about the same amount as a half-gallon container of milk and applied her knowledge of the customary system of measurement to determine how many teaspoons of medicine to take. Which of these calculations might she have used to approximate her dosage?
16. Which of these sets forms a group under multiplication?
17. A rainbow pattern is designed from semi-circles as shown below. Which of the following gives the area A of the shaded region as a function of ?
18. Express the area of the given triangle as a function of .
19. To the nearest hundredth, what is the area in square units under the curve  on [1,2]?
20. Which of these is the equation graphed below?
21. Evaluate .
22. Which of the following could be the graph of  if ?
23. If , , and  are even integers and  , which of these is the largest number which must be factor of ?
24. The vertices of a polygon are  and  Which of the following describes the polygon most specifically?
25. Use the following data to answer the question:
Compare the two quantities.

Quantity A

Quantity B

The percentage of Caucasian students

The percentage of female students, rounded to the nearest whole number