Part 2

Session 1

28. In the inequality below, which of the following numbers could replace the variable X?

m8_28.gif (990 bytes)

Circle all of the numbers below which would make the inequality true.

m8_28a.gif (366 bytes)     m8_28b.gif (199 bytes)     m8_28c.gif (292 bytes)      m8_28d.gif (275 bytes)      m8_28e.gif (270 bytes)

Explain in words why each number you circled could replace the variable X.

 
 
 
 

 

 

29. The variables a, b, c and d each represent a different whole number.
Given a = 3, use the properties of whole numbers to determine the value for each variable. For each variable, show the work you used to determine your answer.

m8_29.gif (8626 bytes)

Show your work.

 

 

 

Answers

b = ___________

c = ___________

d = ___________

 

30. Students at a middle school volunteered to collect aluminum cans and plastic bottles in the local park as part of a community cleanup program. The table below shows the number of cans and plastic bottles the students collected during the first four weeks of the program.

m8_30.gif (63519 bytes)

 

Part A

Using the information from the table, construct a double line graph on the grid below.

Be sure to:

m8_30a.gif (42152 bytes)

Part B

 

Use your double line graph to find the week when the difference between the number of aluminum cans collected and the number of plastic bottles collected was the greatest.

 

Week number_______________

 

 

 

31. Three quadrilaterals have the following coordinates:

Quadrilateral 1 coordinates: (-4, 9), (3, 9), 3, 5), (-4, 5)

Quadrilateral 2 coordinates: (-9, -4), (-4, -4), (-1, -7), (-12, -7)

Quadrilateral 3 coordinates: (6, -2), (10, -4), (10, -12), (6, -10)

 

Part A

On the grid below, plot the coordinates for each quadrilateral, connecting the points in order as you proceed. Be sure to connect the last point to the first point for each quadrilateral. Label the quadrilaterals 1, 2, and 3.

m8_31.gif (55545 bytes)

Part B

Match each numbered figure that you drew with the name or names that apply to each quadrilateral. Explain in words why it is this type of quadrilateral.

 

Parallelogram_______________________________________________________________

 

Rectangle___________________________________________________________________

 

Trapezoid___________________________________________________________________

 

 

32. For lunch, each student had a choice of one main course, one beverage, and one dessert from the menu below.

m8_32.gif (15220 bytes)

How many different combinations of lunches consisting of one main course, one beverage, and one dessert could a student choose?

 

Show your work.

 

 

 

 

 

Answer_______________________

A Student was given a randomly selected lunch consisting of a main course, a beverage, and a dessert, What is the probability that the lunch consisted of a main course, soda, and ice cream?

 

Probability_____________________

 

33. All the telephone poles in a certain area are 30 feet tall. The distance from the top of one telephone pole to the base of the next telephone pole is 50 feet.

m8_33.gif (20223 bytes)

What is the number of feet between the two telephone poles?

Show your work or explain in words.

 

 

 

Answer__________________________

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