# Unit 7: Expressions, Equations & Functions by 0ww0RNy

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```									Name:__________________________________ Date:_____________________

Match the tables, graphs, expressions, equations, and or verbal
descriptions to the same problem situation. Draw lines between the two
situations that are the same.

1. Darlene has \$20, but will
get \$10 for every hour she
spends cleaning the attic.

2. Becky gets \$10 an hour
for babysitting.

3. DJ receives \$5 for every
hour he spends doing yard
work.

Unit 6            Expressions, Equations, and Functions          Grade 5
Name:__________________________________ Date:_____________________

The graph below shows the money in Derek’s account each month. Use
the graph to answer the following questions.

Money in Derek’s Account
200
180                                         X
160                                                       X                     X
140
Money in dollars

120                                   X                          X       X
100
80                           X                      X
60                                                                                     X
40           X       X
20    X
0
Jan.   Feb.    March   April   May   June   July   Aug.   Sept.   Oct.   Nov.    Dec.
Month

4. What happened to Derek’s money between March and June?

5. What happened between February and March?

6. What happened to Derek’s money after June?

7. Based on this information, do you think Derek’s money for the
following January will be higher or lower than Derek’s money for
December? Explain your thinking.

Unit 6                                    Expressions, Equations, and Functions                             Grade 5
Name:__________________________________ Date:_____________________

Use the figure below to answer the following questions.

Figure 2
Figure 1                                                     Figure 3

8. How many chinchillas do you need to make each figure?
Complete the chart.

Figure Number       Number of Chinchillas
1
2
3
4
5

How many chinchillas would you need to make each figure?
9.     Figure 8__________

10.     Figure 10__________

11.     Figure 20__________

12.     Figure 100__________

13. Write a sentence to describe the pattern between the figure
number and number of chinchillas.

14. Could figure 21 have 40 chinchillas? Explain why or why not.

15. If n is the figure number and c is the number of chinchillas in the
figure, write a rule for finding c.

c = ______________________________

Unit 6             Expressions, Equations, and Functions              Grade 5
Name:__________________________________ Date:_____________________

16. 11 + n = 19         17. n – 4 = 6

18. n - 8 = 31          19. n + 5 = 12

How can you find out what pizza topping 6th graders like the most?

20. Create a plan to collect information in order to answer the
question.

21. Who would you ask?

22. Who wouldn’t you ask? Explain.

23. How would your record your data?

24. Spencer wanted to know what he should make his next sculpture out
of. He went around and asked Freddy and Lubert what sculpting material
was their favorite. He then concluded that Play-Doh would be the best
material to make his sculpture out of. Is Spencer correct? Explain your
answer.

25. True brought a large box of jewels to the office to design clothes with.
She said that each designer would be allowed to take one handful of
jewels to decorate clothes with. Mr. Madigan thought this was a great
idea, but Amanda thought it was unfair because her hand was a lot
smaller than most designers’ hands. True and Mr. Madigan then had to
agree with Amanda. Write a way in which to determine a fair share of
jewels using either hand size or some other method.

Unit 6               Expressions, Equations, and Functions           Grade 5
Name:__________________________________ Date:_____________________

Use your knowledge of the measures of central tendency to answer the
questions below.

26. and 27. The table below shows the number of minutes that seven
students spent doing chores yesterday.

Student           Minutes Spent Exercising
Jeremy                      60
Terry                     45
Jane                      38
Daniel                     20
Jessica                     25
Jamie                      50
Emily                     49

On the basis of the information in the table, what is the median number of
minutes the seven students spent exercising? What is the average number
of minutes the seven students spent exercising?

The Eagles hockey team recorded the number of goals for last season for
their top scorers.
5, 8, 9, 6, 7

28. What is the mean number of home runs for last season? How do you
know?

29. Unfortunately, two players accidentally got left off the list. When
their data were included, the mean changed. Brown scored 6 goals, and
Lopez scored 5 goals. Will the new mean be higher, be
lower, or stay the same? Explain.

Unit 6            Expressions, Equations, and Functions            Grade 5
Name:__________________________________ Date:_____________________

Shiz University is selling tickets to a drama performance. The table below
shows the number of tickets sold in one week.

Day      Sun          Mon        Tue        Wed        Thu        Fri        Sat
Cupcakes 33           15         20         17         25                    30

30. Glinda got stage makeup on her data table and can not read Friday’s
Ticket count, but she knows two things:
a. She knows that the median is 20.
b. She knows that Friday’s ticket count was not 20.
What might Friday’s ticket count have been so that the median is 20?
Explain.

31. Sunday’s count was a mistake. It is supposed to be 23. Does this
correction change the median? Why or why not?

Dr. Dillamond has given his college class 9 tests this semester. Below are
the averages.

85       82      86       87         81         90         84         85      85

32. What is the median of Dr. Dillamond’s class’s average test scores? How
do you know?

33. What is the mode of Dr. Dillamond’s class’s average test scores? Show
your work, or explain your answer.

34. Which number better represents the scores that Dr. Dillamond’s class
averaged, the mode or median? Justify your choice.

Unit 6             Expressions, Equations, and Functions                     Grade 5

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