Prep Program - Mathematics Diagnostics Assessment

1. _4.1 Twenty- five people were asked to name their favorite type of music. The results of this survey are displayed in this table. What type of music is the most popular?

Hip Hop

Classical

Rock

Jazz

2. _3.3 What is the perimeter of the rectangle?

25

50

30

40

3. _3.3 A circle has a circumference of 50π inches. what is the radius of the circle?

30 inches

50 inches

25 inches

π

4. _3.2 What are the coordinates for the image of point N, when the figure is translated 3 units to the right and 3 units up?

(3,2)

(3,3)

(-6,-5)

(6,5)

5. _3.2 When the figure is translated 3 units to the right and 4 units down, what are the new coordinates for point X?

(8,1)

(10,0)

(3,-4)

(7,4)

6. _3.2 What are the coordinates for the image of point A, which is called A' when the figure is translated 4 units left and 3 units down?

(-2,1)

(2,4)

(-4,-3)

(2,-1)

7. _4.2 A teacher took a survey and found that 18 out of 25 students liked a certain snack item best. Make a prediction of how many students liked the snack item best if there are 175 students.

135

126

119

116

8. _1.3 There are 3x − 2 trees planted in each row of a rectangular parcel of land. If there are a total of 24x −16 trees planted in the parcel, how many rows of trees are there in the parcel?

21x - 18

8

21x - 14

8x

9. _{1.2 ^(A+)} Evaluate 0.53n + 5 when n = 3 and when n = -3

-6.59 and 3.41

-6.59 and -3.41

6.59 and -3.41

6.59 and 3.41

10. _2.3 The variables x and y are directly proportional, and y = 2 when x = 3. What is the value of y when x = 9 ?

4

8

6

12

11. ^{_1.3
A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sandwiches cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches was $113.50, how many sandwiches were ordered?}

7

8

10

9

12. _4.2 The cafeteria manager took a survey of the third-grade students and found that 83 of 127 students said they did not want hot dogs on Wednesdays. There are 900 students at the school. What is a good prediction of the number of students who do not want hot dogs on Wednesdays?

588

288

388

488

13. ^1.2 Evaluate the problem. -7x + 4y – 3x – 6y

10x – 2y

-10x + 2y

-3xy – 9xy

10x + 2y

-10x – 2y

14. _4.2 A university took a phone sample from 3,421 students about tuition and found that 2,004 of those students believed that tuition was too high. What is a good prediction of how many students think tuition is too high if there are about 20,000 students at the university?

11,616

11,516

11,816

11,716

15. _4.1 This bar chart shows the number of computers sold each month at a local computer store during one year. Which measure(s) of central tendency can be used to determine the average number of computers sold each month?

The mean

The median

The mean and the median

The mode

16. _{2.2 ^(A+)} Simplify -2 (5w³- z + 2) - 3 (-3z - 2w³)

17. _4.3 A jar contains 14 black marbles and 10 white marbles. If a marble is randomly chosen from the jar, what is the probability that the marble will be black?

1/2

5/12

7/12

5/7

18. _1.1 If 3t − 7 = 5t , then 6t =

-21

21

-7

-42

19. _4.3 A number cube is rolled 20 times. A number less than four comes up 12 times. What is the experimental probability that a number less the four is rolled?

4/5

1/2

3/10

3/5

20. _1.2 Evaluate the problem. (5x + 4y) – ( 2x + y)

-3x + 5y

3x – 5y

3x + 3y

7x + 3y

-7x + 5y

21. _3.1 The yard behind Cindy's house is rectangular in shape and has a perimeter of 72 feet. If the length L of the yard is 18 feet longer than the width W of the yard, what is the area of the yard, in square feet?

36

144

486

243

22. **_3.1 A rectangle has a length of N – 3 and a width of 3N² + 4N. What is its perimeter?**

6N2 + 10N - 6

3N3 - 5N2 - 12N

3N3 + 4N2 - 3

3N2 + 5N - 3

3N3 - 12N

23. _4.3 There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a speaking part?

24. _4.1 The table shows the high temperature last Thursday for five cities, A through E. If the median of the Thursday high temperatures for these cities was 81'F, which of the following could NOT have been the high temperature last Thursday for city A?

75'F

65'F

55'F

85'F

25. _{2.1 ^(A+)} Complete the square to make a perfect square trinomial $d squared minus 4 d plus _ _ _ _ _$

1

4

2

8

26. _2.1 $left parenthesis 3 x squared y cubed right parenthesis cubed space equals$

27. _{1.3 ^(A+)} At a meeting, 6 people each greet one another by shaking hands. If each person must shake hands once with every other person in the room, how many handshakes occur in the meeting?

15

10

12

16

28. _3.3 If the volume of the given figure is V= π (x³ -x²-x +1) and r = (x - 1), what is h?

X

X -2

X - 1

6

X + 1

29. _2.3 $I f space fraction numerator x minus 1 over denominator x end fraction equals 20 space t h e n comma space x equals$

-1/19

-21

-19

1/21

30. _2.1 $x to the power of 4 minus 1$

31. _2.3 What is the numerator of the simplified version of the following expression? 15(x² + 25)(3x - 2)(y - 2)(y + 2) 3(y² - 4)(3x - 2)(x - 5)

X + 5

5(x + 5)

(y2 - 4)(x - 5)

15(x2 + 5)

5(x2 +25)

32. _1.1 In the xy -plane below, point C has coordinates (6, 9). Which of the following is an equation of the line that contains points O and C ?

Y = x - 3

Y = x + 3

Y = 3/2 x

Y = 2/3 x

33. _3.1 In the xy -plane, what is the y -intercept of the graph of the equation y = 2(x + 3) (x − 4)?

-12

-2

-24

12

34. _{1.1 ^(A+)} Which values are in the solution set of |x – 15| + 4 > 18?

X < 29

X < 1

1 < x < 29

The inequality has no solutions.

35. _2.2 $I f space square root of 5 minus x end root equals 4 comma space t h e n space x equals$

-11

1

11

-21

Prep Program - Mathematics Diagnostics Assessment

1. 4.1 Twenty- five people were asked to name their favorite type of music. The results of this survey are displayed in this table. What type of music is the most popular?

2.

What first name or nickname would you like us to use?

2. 3.3 What is the perimeter of the rectangle?

3. 3.3 A circle has a circumference of 50π inches. what is the radius of the circle?

4. 3.2 What are the coordinates for the image of point N, when the figure is translated 3 units to the right and 3 units up?

5. 3.2 When the figure is translated 3 units to the right and 4 units down, what are the new coordinates for point X?

6. 3.2 What are the coordinates for the image of point A, which is called A' when the figure is translated 4 units left and 3 units down?

7. 4.2 A teacher took a survey and found that 18 out of 25 students liked a certain snack item best. Make a prediction of how many students liked the snack item best if there are 175 students.

8. 1.3 There are 3x − 2 trees planted in each row of a rectangular parcel of land. If there are a total of 24x −16 trees planted in the parcel, how many rows of trees are there in the parcel?

9. 1.2 (A+) Evaluate 0.53n + 5 when n = 3 and when n = -3

10. 2.3 The variables x and y are directly proportional, and y = 2 when x = 3. What is the value of y when x = 9 ?

11. 1.3 A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sandwiches cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches was $113.50, how many sandwiches were ordered?

12. 4.2 The cafeteria manager took a survey of the third-grade students and found that 83 of 127 students said they did not want hot dogs on Wednesdays. There are 900 students at the school. What is a good prediction of the number of students who do not want hot dogs on Wednesdays?

13. 1.2 Evaluate the problem. -7x + 4y – 3x – 6y

14. 4.2 A university took a phone sample from 3,421 students about tuition and found that 2,004 of those students believed that tuition was too high. What is a good prediction of how many students think tuition is too high if there are about 20,000 students at the university?

15. 4.1 This bar chart shows the number of computers sold each month at a local computer store during one year. Which measure(s) of central tendency can be used to determine the average number of computers sold each month?

16. 2.2 (A+) Simplify -2 (5w3- z + 2) - 3 (-3z - 2w3)

17. 4.3 A jar contains 14 black marbles and 10 white marbles. If a marble is randomly chosen from the jar, what is the probability that the marble will be black?

18. 1.1 If 3t − 7 = 5t , then 6t =

19. 4.3 A number cube is rolled 20 times. A number less than four comes up 12 times. What is the experimental probability that a number less the four is rolled?

20. 1.2 Evaluate the problem. (5x + 4y) – ( 2x + y)

21. 3.1 The yard behind Cindy's house is rectangular in shape and has a perimeter of 72 feet. If the length L of the yard is 18 feet longer than the width W of the yard, what is the area of the yard, in square feet?

22. 3.1 A rectangle has a length of N – 3 and a width of 3N2 + 4N. What is its perimeter?

24. 4.1 The table shows the high temperature last Thursday for five cities, A through E. If the median of the Thursday high temperatures for these cities was 81'F, which of the following could NOT have been the high temperature last Thursday for city A?

25. 2.1 (A+) Complete the square to make a perfect square trinomial

26. 2.1

27. 1.3 (A+) At a meeting, 6 people each greet one another by shaking hands. If each person must shake hands once with every other person in the room, how many handshakes occur in the meeting?

28. 3.3 If the volume of the given figure is V= π (x3 -x2 -x +1) and r = (x - 1), what is h?

29. 2.3

30. 2.1

31. 2.3 What is the numerator of the simplified version of the following expression? 15(x2 + 25)(3x - 2)(y - 2)(y + 2) 3(y2 - 4)(3x - 2)(x - 5)

32. 1.1 In the xy -plane below, point C has coordinates (6, 9). Which of the following is an equation of the line that contains points O and C ?

33. 3.1 In the xy -plane, what is the y -intercept of the graph of the equation y = 2(x + 3) (x − 4)?

34. 1.1 (A+) Which values are in the solution set of |x – 15| + 4 > 18?

35. 2.2