Incoming 7^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.

12 + 4 x (12 − 9)                                                   36 ÷ 3 + 6 x 2

Draw the following geometric objects.  Be sure to label your drawings.

Plot the following values on the number line below. 

A:  -17         B:  -6           C:  5            D:  11          E:  -10         F:  8            G:  14

Perform the following operations.  Reduce your answer to simplest form.

1.                                            2. 

3.                                           4.  87.3 × 4.3

5.  What is 10% of 68?                       6.  What is 20% of 75?

7.  Reggie is bowling. In the last 50 throws of his bowling ball, Reggie makes a strike 18 times. Based on his last 50 throws, what is the experimental probability that Reggie will make a strike on his next throw?  Express your answer as both a fraction and a decimal.

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

Fill in the function table by using the given rule.

Isolate the variable by using inverse operations.

9.4 = x + 23.1                                          7r = 42                          

Plot the points on the coordinate plane below.  Label your points.

A.   (2, 4)

B.    (-8, 5)

C.   (3, -1)

D.   (-7, 6)

E.    (0, 5)

F.    (1, -2)

G.   (-2, 0)

And now for the challenge questions . . .

Identify the scalene triangles.

Look at the isosceles triangles below.

Do all isosceles triangles look the same? What similarities do they have? What differences?

Look at the following quotation from a middle school newspaper article.

"The student's name is Terry Jones and he is in grade six. Mr. Jones' favorite recreation is performing on his violin."

Create a frequency table to determine the number of times the following letters appear: r, s, t, a, and e.

Marty says vowels are used more often than consonants in the English language. Using the above passage, how could you organize a new frequency table in order to show whether Marty is correct?