Incoming 8^th Grade Summer Mathematics Assignment

Name ___________________________________________

Complete the following problems.  Make sure you show all of your work and justify your answers with complete sentences. 

This is easy! 

Use orders of operations to simplify each expression.

                                              6 - 2(3² – 4) + 7

Graph each inequality on the number line.

w > 4

z ≤ 8

x < 5

t ≥ 0

Simplify.

-53 + -56                         89 – (-12)                        -67 – (-28)                      -16 · -10

Plot and label the following points on the coordinate plane below.

A.   (9, 15)

B.    (-8, 6)

C.   (13, -8)

D.   (0, 7)

E.    (-4, -15)

F.    (-10, -2)

G.   (-9, 0)

Edward conducts a simulation using a coin, a number cube, and a spinner, as shown below.

 

Make an organized list or tree diagram to show all possible outcomes.

Order these numbers from least to greatest.

-3.6                     1.3       20%

Put on your thinking caps!  Here comes some real math!

What is the total surface area, in square inches, of the rectangular prism shown below?

What is the volume, in cubic inches, of the rectangular prism shown below?

Describe the relationship between the IN and OUT box of the function

machine.

Isolate the variable using inverse operations.

                                  7 – 3n = 16                                        4.5y – 9.1 = 27.9

8² =                                                            

And now for the challenge questions . . .

Using the formula, find the area of the trapezoid.

Survey your family and friends to determine their shoe size.  Collect at least 10 pieces of data.  Record your data below and find the mean, median and mode of your data.

Suppose you added Shaquille O’Neal’s shoe size, 22, to your data.  How will this change your mean, median and mode?