Mathematics, Grade 10  (2007)

You may use your reference sheet during this session. You may not use a calculator during this session.

Directions 

You should have a pencil and sheet of paper for this section. 

 Please read the following information below before you start!!!

There are 14 multiple choice questions and four short-answer questions. Select the "Grade Me" button after each question. If you get a problem incorrect, work more on that problem until you get it correct. Do not go on to the next question until you get a correct answer. Write down on a sheet of paper the question # and "Report Category" for the question stated below the "Grade Me" button that you got incorrect. For example question 1 report category deals with "Number Sense and Operations". If you got question 1 incorrect you should write the  question #1 and the word "Number Sense and Operations" down on a sheet of paper and study more about questions dealing with "Number Sense and Operations" in the future. Following this procedure will help you with future similar MCAS questions. After you do this continue on to the next question. 

1)   What is the value of the expression below?

        4(2³ - 7) - 5²

A.    -21

B.    -14

C.    1

D.   29

Choose One A B C D  

Check Your Progress Here!

2)     Which of the following is closest to the value below?

A.    11

B.    12

C.    70

D.    72

Choose One A B C D  

Check Your Progress Here!

3)    The number of points by the Sprindale Hawks in each of their last ten basketball games is shown in the stem-and-leaf  plot below.

 What is the median number of points scored per game by the Hawks?

A.   42

B.   44

C.   45

D.  47

Choose One A B C D  

Check Your Progress Here!

4)   Which of the following is equivalent to the expression below? 

          (3x - 2)(2x + 3) 

A.     5x² + 5x + 1

B.     5x² + 13x + 1

C.    6x² + 13x - 6

D.    6x² + 5x - 6

Choose One A B C D  

Check Your Progress Here!

5)    What is the value of the expression below?

Choose One A B C D

Check Your Progress Here!

Reporting Category/Substrand for Item 5:Number Sense and Operations- Standard 10.N.2

6)     The table below shows a relationship between values of x and y.

Which of the following equations describes the relationship between x and y for the values in the table?

A.    y = 3x

B.    y = 5x - 2

C.    y = x² + 2

D.    y = x³

Choose One A B C D

Check Your Progress Here!

Reporting Category/Substrand for Item 6: Patterns, Relations, and Algebra - Standard 10.P.1

7)   Which of the following statements is true?

Choose One A B C D  

Check Your Progress Here!

8)  Which of the following is equivalent to the expression below?

        (5x + 6y - 3z) + (3x -8y + z)

A.    8x - 14y - 4z

B.    8x - 2y - 2z

C.    8x -14y - 2z

D.    8x - 2y - 3z

Choose One A B C D  

Check Your Progress Here!

9)    Which of the following is closest to the cube root of 150?

A.    5

B.    12

C.   15

D.   50

Choose One A B C D  

Check Your Progress Here!

10)      Which of the following scatterplots is most likely to have a line of best fit represented by the equation below?

                                        y = -5x + 2

Choose One A B C D  

Check Your Progress Here!

11)   What are all the values of x that make the quadratic equation below true?

             x² - 16 = 0

A.    x = 4

B.    x = 8

C.    x = 4 or x = -4

D.    x = 8 or x = -8

Choose One A B C D  

Check Your Progress Here!

12)  The line segments in the diagram below represent the paths through a rose garden.

    If Roberta starts at point P and walks on each path exactly once, at what point will she finish?

A.    Q

B.    R

C.    S

D.    T

Choose One A B C D  

Check Your Progress Here!

13.     Which of the following shows the expression below in factored form?

                x² + 2x - 8

A.    (x - 2)(x + 4)

B.    (x + 2)(x - 4)

C.    (x - 1)(x + 8)

D.    (x + 1)(x - 8)

  Choose One A B C D  

Check Your Progress Here!

14.   What is the value of the expression below?

                5 | 4 - 6 | - (-3)

A.    -13

B.    -7

C.    13

D.    17

Choose One A B C D  

Check Your Progress Here!

Directions - Answer the next series of questions (15 - 18)  by entering your answers into the input  text boxes after each question. The answers for questions 15 - 18 are located in the yellow grid following question 18. 

15)   A "wheat penny" is a United States penny that has a picture of wheat on one side. These pennies were only produced from 1909 through 1958.

        The members of  a coin-collecting group counted the number of wheat pennies in each of their collections. The line plot below shows the number of wheat pennies in each member's coin collection.

What is the mode of the data in the line plot?

16)    Dan made an accurate scale drawing of the front of a building.

•  The width of the building in Dan's scale drawing is 5 inches.
•  The height of the building in his scale drawing is 3 inches.

        If the actual width of the building is 100 feet, what is the actual height, in feet, of the building?

17)  Hannah's garden is in the shape of a parallelogram. A diagram represents her garden is shown below.

        Hannah needs to know the area of the garden in order to buy the correct amount of fertilizer. Based on the dimensions in the diagram, what is the area, in square yards, of Hannah's garden?

18)    Angelo placed 5 CDs into his CD player. There are 12 songs on each CD.

        Angelo set his CD  player to select songs in a random order. What is the probability that the first song the CD player selects will be the 4th song on the 3rd CD?

,