CCCApracticeEOCT (AlgebraFunctionsDomain)

Mock EOCT

Name:____TEST NO. _______________

1. If = , what is the value of x? A. B. 1 C. D. 3

2. Kurt drove his car from City A to City B at an average rate of 35 miles per hour. He started at 2 p.m. and drove 20 miles in t hours. Which of the following equations represents this situation?

A. B.

C. D.

3. Which of the following BEST describes the domain of the relation graphed below?

A. {y such that 8 y 2}

B. {x such that 4 x 3}

C. {y such that 4 y 2}

D. {x such that 8 x 3}

4. What is the equation of the line that

passes through the point (4, 1) and has a

y-intercept of ?

A. B. C. D.

5. At a water park, a stream of water is shot into the air from the top of a pole that is 12 feet tall. The function graphed on this coordinate grid represents the path of the stream of water from the top of the pole to the ground.

      What is the domain of the function that represents the path of the stream of water from the top of the pole to the ground?

A. to

B. to

C. to

D. to

6.

   

At a water park, a stream of water is shot into the air from the top of a pole that is 12 feet tall. The function graphed on this coordinate grid represents the path of the stream of water from the top of the pole to the ground.

   

What is the range of the function that represents the path of the stream of water from the top of the pole to the ground?

A.

B.

C.

D.

7.       A student is playing a video game. At the end of each level of the game she is awarded bonus points based on the number of points she has accumulated.

   

 This chart shows some of the bonus points awarded for different numbers of points accumulated.

   

 How many bonus points should the student conclude would be awarded for having accumulated 800 points?

A. 8

B. 16

C. 32

D. 64

8.       A group of students is entering a contest to win $1000. The students plan to divide the money equally.

   

Which graph best describes the relationship between the number of students in the group and the amount of prize money each student wins?

A.

B.

C.

D.

9. The function represents the surface area of a cube that has side length x. This function is a transformation of

Which phrase describes this transformation?

A. stretch by a factor of 6

B. shrink by a factor of 6

C. shift up of 6 units

D. shift down of 6 units

10. What is the domain of

A. all real numbers

B. all real numbers except

C. all real numbers except

D. all real numbers except and

11.             This table lists the coordinates of some points on the graph of a quadratic function.

Which of the following describes the location of a zero of the graph of the function?

A. between -8 and -6 B. between -5 and -4

C. between -2 and -1 D. between -1 and 1

12. This graph shows the number of minutes a student spent bike riding during the past 7 days.

Which of the following is the domain of the graph?

A. B.

C.

D.

13. This table shows the relationship between n, the number of consecutive hits made in a video game, and number of points scored.

Which function best represents this relationship?

A.

B.

C.

D.

14.

15.       A man rents a car for 5 days at a base rate of $30 per day. The rental agreement allows him to drive the car 500 miles. The man must pay an additional $0.75 for each mile he drives more than 500 miles.

   

Which graph shows the total amount the man must pay to rent the car based on the number of miles he drives?

A. B.

C. D.

16. The graph of an exponential function is shown on this coordinate plane.

Which equation represents the function?

A. B.

C. D.

17. The first 5 terms in a geometric sequence are listed.

500, 250, 125, 62.5, 31.25, ...

   

Which function can be used to determine the

nth term of the sequence?

A.

B.

C.

D.

18.   A colony of bacteria is increasing at a rate of 30% per day. The colony began with a population of 1000.

Which graph best models the population

growth of the colony of bacteria?

A. B. C. D.

19.       What is the solution for the equation

A.

B.

C.

D.

20.

Two functions are graphed on this coordinate plane.

            For what values of x does it appear that is greater than

A.

B.

C. or

D. or

21. What is the first term in the exponential sequence below?

A. 1

B. 3

C. 9

D. 27

22. What is the 9th term in the quadratic sequence shown below?2, 5, 10, 17, 26, . . .

A. 97

B. 82

C. 71

D. 65

.

23.

Write the sequence as a function if the domain of the function is {1, 2, 3, 4, 5...}

3, 5, 7, 9, 11...

A. f(x) = x + 2 B. f(x) = 2x + 1 C. f(x) = 2x - 1 D. f(x) = 2x

24.

3, 5, 7, 9, 11, 13,...

The arithmetic sequence represents the values from x = 1 through x = 6. Which linear function matches this sequence?

A. y = 2x + 1 B. y = 3x C. y = x + 2 D. y = 3x - 2

25. The graph of the function f(x) = –3x + 3 is shown.

What is the value of f(3)?

A. 3

B. 0

C. –2

D. –6

26.

27.

28.

29.

Solve : for v.

A. B.

C. D.

30.

STOP- End of Part 1

31.

32.

33.

34.

35.

36.

37.

A square has a side on the lines x = 3, a side on

y = 1, and has a vertex at (12, -8).

What is the perimeter, in units, of the square?

A. 18

B. 36

C. 44

D. 52

38.

Given points A(-1, 9) and point B(7, -3) Find the point Z, so the directed line segment AB is in a 1:3 ratio.

A. (1, 6)

B. (6, 1)

C. (0, 5)

D. (5, 0)

39.

40.

41.

   

These tables show the number of vanilla ice-cream cones and the number of chocolate ice-cream cones sold at an amusement park each day for 12 days.

   

Which statement correctly compares the two

data sets?

A. The interquartile range is less for the number of vanilla ice-cream cones sold than for the number of chocolate ice-cream cones sold.

B. The interquartile range is the same for the number of vanilla ice-cream cones sold as it is for the number of chocolate ice-cream cones sold.

C. The mode of the number of vanilla ice-cream cones sold is less than the mode of the number of chocolate ice-cream cones sold.

D. The mode of the number of vanilla ice-cream cones sold is the same as the mode of the number of chocolate ice-cream cones sold.

42.

A salesman at a music store sold 28 guitars over a four-week period. He sold 10 guitars the first week, 8 guitars the second week, 4 guitars the third week, and 6 guitars the fourth week.

What is the mean absolute deviation of the number of guitars sold by the salesman during the four weeks?

A. 2 B. 3 C. 6 D. 7

43.

Madeline and David take weekly math quizzes. Each quiz has 20 possible points. These data sets

show their last five quiz scores.

     Madeline: 13, 13, 13, 14, 15

     David: 12, 12, 12, 13, 20

What is the MOST likely reason the mean score for David is greater than the mean score for Madeline?

A. The range of scores for David is greater than the range of scores for Madeline.

B. The median of Madeline's scores is greater than the median of David's scores.

C. The mode of Madeline's scores is greater than the mode of David's scores.

D. The data for David has an outlier that the data for Madeline does not have.

44.

This table shows the gas prices charged at two different stations each day for one week.

Which statistic has a greater value for Fred's Fuel Stop than for Gary's Gas Station?

A. first quartile B. median

C. third quartile D. interquartile range

45.

These lists show the heights, in inches, of 12 players on a basketball team and 12 players on a soccer team.

     Basketball Players: 73, 74, 70, 72, 75, 73,

                              

72, 70, 75, 77, 68, 72

   

Soccer Players: 68, 70, 69, 71, 73, 72,

                         

75, 70, 71, 68, 70, 69

Which statement BEST explains the variability of the two sets?

A. The heights of the soccer players are more variable because the median of the soccer team is greater.

B. The heights of the basketball players are more variable because the median of the basketball team is greater.

C. The heights of the soccer players are more variable because the interquartile range of the soccer team is greater.

D. The heights of the basketball players are more variable because the interquartile range of the basketball team is greater.

46.

This list shows the ages of seven children on a soccer team.

5, 5, 6, 6, 6, 7, 7

The mean age is 6.

Which expression should be used to calculate the mean absolute deviation of the set?

A. B. C. D.

47.

This table shows the number of hours that four employees worked each day during one workweek.

Whose hours had the LEAST variability based on mean absolute deviation?

A. Alicia

B. Ethan

C. Jamal

D. Raphael

48.

This list shows the number of points scored by a basketball team in each of its first eight games.

64, 71, 68, 85, 73, 58, 77, 75

   

What is the mean absolute deviation of this data set?

A. 0

B. 4.625

C. 6.125

D. 7

49.

A student measures the period of a simple pendulum using strings of different lengths. The student concludes that the data can best be modeled by an increasing linear function.

   

Which graph could represent the student's data?

A. B. C. D.

50.

A meteorologist recorded the wind speed and air pressure at different times during a storm in 2002. The data are shown in this graph.

Which linear equation BEST models these data?

A.

B.

C.

D.

51.

The ___________ the mean absolute deviation the smaller amount of __________ in the data.

A. lower, variability B. lower, continuity C. higher, variability D. higher, continuity

52.

53.

54.

55.

56.

57.

58.

59.

60.

Point A(-5, 3) and Point H(5, 8). What is Point J on directed line segment AH such that the segment is partitioned in a 3:2 ratio?

A. (-1, 5)

B. (5, -1)

C. (1, 6)

D. (6, 1)