You will have **55 minutes** to complete **38 questions** in this portion exam from the moment you click the **start button**.

- The use of calculators
**is permitted** - All variables and expressions used represent real numbers unless otherwise indicated.
- Figures provided in this test are drawn to scale unless otherwise indicated.
- All figures lie in a plane unless otherwise indicated.
- Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for which f(x) is a real number.

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- Question 1 of 38
##### 1. Question

# Math Test – Calculator

55 MINUTES, 38 QUESTIONS**Directions:**For questions 1-30, solve each problem, choose the best answer from the choices provided, and fill in the corresponding circle on your answer sheet. For questions 31-38, solve the problem and enter your answer in the grid on the answer sheet. Please refer to the directions before question 31 on how to enter your answers in the grid. You may use any available space in your test booklet for scratch work.**Notes:**1. The use of a calculator is permitted.

2. All variables and expressions used represent real numbers unless otherwise indicated.

3. Figures provided in this test are drawn to scale unless otherwise indicated.

4. All figures lie in a plane unless otherwise indicated.

5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for

which f(x) is a real numberAccording to the line graph above, between which two consecutive years was there the greatest change in the number of 3‑D movies released?

CorrectIncorrect - Question 2 of 38
##### 2. Question

**2.**Some values of the linear function

*f*are shown in the table above. Which of the following defines*f*?CorrectIncorrect - Question 3 of 38
##### 3. Question

**3.**To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins?

(1 pound = 16 ounces)CorrectIncorrect - Question 4 of 38
##### 4. Question

**4.**If 3(c + d) = 5 , what is the value of c + d ?CorrectIncorrect - Question 5 of 38
##### 5. Question

**5.**The weight of an object on Venus is approximately 9/10 of its weight on Earth. The weight of an object on Jupiter is approximately 23/10 of its weight on Earth. If an object weighs 100 pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?CorrectIncorrect - Question 6 of 38
##### 6. Question

**6.**An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $20, how many novels did she purchase?CorrectIncorrect - Question 7 of 38
##### 7. Question

**7.**The Downtown Business Association (DBA) in a certain city plans to increase its membership by a total of*n*businesses per year. There were*b*businesses in the DBA at the beginning of this year. Which function best models the total number of businesses,*y*, the DBA plans to have as members*x*years from now?CorrectIncorrect - Question 8 of 38
##### 8. Question

**8.**Which of the following is an equivalent form of (1.5x – 2.4)^{2}– (5.2x^{2}– 6.4) ?CorrectIncorrect - Question 9 of 38
##### 9. Question

**9.**In the 1908 Olympic Games, the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers. Of the following, which is closest to the increase in the distance of the Olympic marathon, in miles? (1 mile is approximately 1.6 kilometers.)CorrectIncorrect - Question 10 of 38
##### 10. Question

**10.**The density*d*of an object is found by dividing the mass*m*of the object by its volume*V*. Which of the following equations gives the mass*m*in terms of*d*and*V*?CorrectIncorrect - Question 11 of 38
##### 11. Question

**11.**-2x + 3y = 6

In the xy-plane, the graph of which of the following

equations is perpendicular to the graph of the

equation above?CorrectIncorrect - Question 12 of 38
##### 12. Question

**12.**The system of equations above has solution (x,y).

What is the value of x ?CorrectIncorrect - Question 13 of 38
##### 13. Question

**13.**y ≤ 3x + 1

x – y > 1

Which of the following ordered pairs (x,y) satisfies

the system of inequalities above?CorrectIncorrect - Question 14 of 38
##### 14. Question

**14.**In a survey, 607 general surgeons and orthopedic surgeons indicated their major professional activity. The results are summarized in the table above. If one of the surgeons is selected at random, which of the following is closest to the probability that the selected surgeon is an orthopedic surgeon whose indicated professional activity is research?

CorrectIncorrect - Question 15 of 38
##### 15. Question

**15.**A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.

II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.

III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the cit .

CorrectIncorrect - Question 16 of 38
##### 16. Question

**Questions 16 – 18 refer to the following information**One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.

**16.**According to the information in the table, what is the approximate age of an American elm tree with a diameter of 12 inches?CorrectIncorrect - Question 17 of 38
##### 17. Question

**17.**The scatterplot above gives the tree diameter plotted against age for 26 trees of a single species. The growth factor of this species is closest to that of which of the following species of tree?

CorrectIncorrect - Question 18 of 38
##### 18. Question

**18.**If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference, in inches, of their diameters 10 years from now? (1 foot = 12 inches)CorrectIncorrect - Question 19 of 38
##### 19. Question

**19.**In ▲ABC above, what is the length of AD?

CorrectIncorrect - Question 20 of 38
##### 20. Question

**20.**The figure on the left above shows a wheel with a mark on its rim. The wheel is rolling on the ground at a constant rate along a level straight path from a starting point to an ending point. The graph of y = d(t) on the right could represent which of the following as a function of time from when the wheel began to roll?

CorrectIncorrect - Question 21 of 38
##### 21. Question

**21.**In the equation above, if a is negative and b is positive, which of the following must be true?

CorrectIncorrect - Question 22 of 38
##### 22. Question

**22.**In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?CorrectIncorrect - Question 23 of 38
##### 23. Question

**Questions 23 and 24 refer to the following information.****23.**The relationship between the monthly rental price*r*, in dollars, and the property’s purchase price*p*, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?CorrectIncorrect - Question 24 of 38
##### 24. Question

**24.**Townsend Realty purchased the Glenview Street property and received a 40% discount off the original price along with an additional 20% off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?CorrectIncorrect - Question 25 of 38
##### 25. Question

**25.**A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set. Among the remaining 150 participants,*p*people chose the first picture in the set. If more than 20% of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of*p*?CorrectIncorrect - Question 26 of 38
##### 26. Question

**26.**CorrectIncorrect - Question 27 of 38
##### 27. Question

**27.**The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?CorrectIncorrect - Question 28 of 38
##### 28. Question

**28.**The graph of the linear function

*f*is shown in the*xy*-plane above. The slope of the graph of the linear function*g*is 4 times the slope of the graph of*f*. If the graph of*g*passes through the point (0, −4), what is the value of*g*(9) ?CorrectIncorrect - Question 29 of 38
##### 29. Question

**29.**x

^{2}+ 20x + y^{2}+ 16y = -20The equation above defines a circle in the xy-plane. What are the coordinates of the center of the circle?

CorrectIncorrect - Question 30 of 38
##### 30. Question

**30.***y*=*x*^{2}– aIn the equation above, a is a positive constant and the graph of the equation in the xy‑plane is a parabola. Which of the following is an equivalent form of the equation?

CorrectIncorrect - Question 31 of 38
##### 31. Question

**31.**Horsepower and watts are units of measure of power. They are directly proportional such that 5 horsepower is equal to 3730 watts. How much power, in watts, is equal to 2 horsepower?2 horsepower = watts

CorrectIncorrect - Question 32 of 38
##### 32. Question

**32.**The painting The Starry Night by Vincent van Gogh is rectangular in shape with height 29 inches and width 36.25 inches. If a reproduction was made where each dimension is 1/3 the corresponding original dimension, what is the height of the reproduction, in inches?the height of the reproduction is inches.

CorrectIncorrect - Question 33 of 38
##### 33. Question

**33.**The length of PS is

CorrectIncorrect - Question 34 of 38
##### 34. Question

**34.**In the*xy*-plane, the point (2,5) lies on the graph of the function*f*. If*f*(*x*) = k – x^{2}, where*k*is a constant, what is the value of*k*?k =

CorrectIncorrect - Question 35 of 38
##### 35. Question

**35.**A landscaper is designing a rectangular garden. The length of the garden is to be 5 feet longer than the width. If the area of the garden will be 104 square feet, what will be the length, in feet, of the garden?The length of the garden in feet is

CorrectIncorrect - Question 36 of 38
##### 36. Question

**36.**Point

*P*is the center of the circle in the figure above. What is the value of*x*?x =

CorrectIncorrect - Question 37 of 38
##### 37. Question

**Questions 37 and 38 refer to the following information.**Ms. Simon drives her car from her home to her workplace every workday morning. The table above shows the distance, in miles, and her average driving speed, in miles per hour (mph), when there is no traffic delay, for each segment of her drive.

**37.**One morning, Ms. Simon drove directly from her home to her workplace in 24 minutes. What was her average speed, in miles per hour, during her drive that morning?her average speed, in miles per hour was

CorrectIncorrect - Question 38 of 38
##### 38. Question

**38.**If Ms. Simon starts her drive at 6:30 a.m., she can drive at her average driving speed with no traffic delay for each segment of the drive. If she starts her drive at 7:00 a.m., the travel time from the freeway entrance to the freeway exit increases by 33% due to slower traffic, but the travel time for each of the other two segments of her drive does not change. Based on the table, how many more minutes does Ms. Simon take to arrive at her workplace if she starts her drive at 7:00 a.m. than if she starts her drive at 6:30 a.m.? (Round your answer to the nearest minute.)It takes Ms. Simon more minutes.

CorrectIncorrect