6th Mastery Check – Math #8

1. In New Orleans, the elevation is greater than -10 feet. Which of the following best describes New Orleans?

A. New Orleans is lower than 10 feet below sea level.

B. New Orleans is higher than 10 feet below sea level.

C. New Orleans is lower than 10 feet above sea level.

D. New Orleans is higher than 10 feet above sea level.

2. The average temperature in Hawaii is about 23ºC. Which of the following best describes 23ºC?

A. 9ºC below freezing

B. 9ºC above freezing

C. 23ºC below freezing

D. 23ºC above freezing

3. Helen is looking at her online bank account summary and sees a money transfer for +$250. Which of the following best describes +$250?

A. $250 spent

B. $125 received

C. $250 received

D. $125 spent

4. a. On Tuesday, the temperature was -7°F and on Wednesday, the temperature was -5°F. Which day was colder?

b. Write the inequality and show it on a number line.

c. Explain how you know your answer is correct.

5. Which algebraic expression is equivalent to the expression below?

9(4x + 4)

A. 9x+ 8

B. 72x

C. 36x + 4

D. 36x + 36

6. Which algebraic expression is equivalent to the expression below?

(8x + 13) + (8x – 5)

A. 16x + 18

B. 16x + 8

C. 29x - 5

D. 21x– 3

7. Which algebraic expression is equivalent to the expression below?

(4x + 12) + 6x

A. (4x + 6x) + 12

B. (4x + 12x) + 6

C. (4x – 6x) + 12

D. 22x

8. In one packet of nuts, there are two different types of nuts. There are 5 peanuts (p) and 7 cashews (c) in each container. I have 6 packets of nuts; write two expressions that show how many nuts I have all together.

9.

Weights of Cats(in pounds)

The weights of 9 different cats in pounds were used to create the box plot above. Which of the numbers below is the range of the set of weights?

A. 7

B. 3

C. 1.5

D. 11

10.

What is the number of persons over the age of 50 and no older than 70 in the above histogram?

A. 5

B. 7

C. 14

D. 12

11. The dot plot below shows the number of teachers and their ages at Clyde Junior High.

What is the range of the ages?

A. 5

B. 33

C. 58

D. 36

12. Suppose thirty people live in an apartment building. These are their ages:

58, 30, 37, 36, 34, 49, 35, 40, 47, 47, 39, 54, 47, 48, 54, 50, 35, 40, 38, 47, 48, 34, 40, 46, 49, 47, 35, 48, 47, 46

Using this data set, graph the information using either a line plot, histogram, or box plot.

13. At Central High School, there are 72 football players and 30 cheerleaders. What is the ratio of cheerleaders to football players?

A. 12:5

B. 1:72

C. 72:1

D. 5:12

14. On the Jackals baseball team, there are 28 right-handed players and 12 left-handed players. What is the ratio of right-handers to left-handers on the Jackals baseball team?

A. 7/10

B. 2/1

C.7/3

D. 3/7

15. Below is a table showing the number of ice cream cones sold in one hour.

The ice cream shop’s best-selling flavor is chocolate. What is the correct way to write the ratio for the number of chocolate cones sold to strawberry cones?

A. 5 to 3

B. 3 to 5

C. 4:3

D. 5/4

16. The newspaper reported, “For every vote candidate A received, candidate B received three votes.” Describe possible election results using at least three different ratios. Explain your answer.

17. How long will it take Carlos to run 6 miles if he is running 2 mph?

  1. 3 hours
  2. 9 hours
  3. 5 hours
  4. 4 hours

18. Amy wants to buy some hot dogs at the city fair. There are three hot dog stands, and each is offering a different deal:

Benny’s Hot Dogs / 4 hot dogs for $5.00
ABC Hot Dogs, Inc. / 4 hot dogs for $6.00
Hot Dog Hut / Hot dogs $2.00 *Buy 1, get 1 Free*

Which hot dog stand has the best deal for hot dogs?

  1. Benny’s Hot Dogs
  2. Both Benny’s Hot Dogs and ABC Hot Dogs, Inc.
  3. Hot Dog Hut
  4. ABC Hot Dogs, Inc.

19. Albert is traveling 60 mph in his car. After 4 hours, how far will he have traveled?

  1. 230 miles
  2. 245 miles
  3. 240 miles
  4. 250 miles

20. If the train that Megan is riding covers 160 miles in 4 hours, how fast is the train traveling?

  1. 35 mph
  2. 40 mph
  3. 45 mph
  4. 160 mph

Answers/Rubrics

Question / Standard / Topic / Answer / Source of Question
1 / CCSS NS7 / Integers and Absolute Value of rational numbers / B / Study Island
2 / CCSS NS7 / Integers and Absolute Value of rational numbers / D / Study Island
3 / CCSS NS7 / Integers and Absolute Value of rational numbers / C / Study Island
4 / CCSS NS7 / Integers and Absolute Value of rational numbers / Tuesday
-7 < -5
#4 / 1 point / Correct day is stated
1 point / Correct inequality is written
1 point / An explanation or number line is shown indicating understanding
Question / Standard / Topic / Answer / Source of Question
5 / CCSS EE3 / Apply properties to generate equivalent expressions / D / Study Island
6 / CCSS EE3 / Apply properties to generate equivalent expressions / B / Study Island
7 / CCSS EE3 / Apply properties to generate equivalent expressions / A / Study Island
8 / CCSS EE3 / Apply properties to generate equivalent expressions / 6(5+7) or
(6x5) + (6x7) / Internet
#8 / 1 point / Student must have one of the correct expressions
2 points / Student must have both correct expressions
Question / Standard / Topic / Answer / Source of Question
9 / CCSS SP4 / Data Display on a number line, including dot plots, histograms, and box plots / A / Study Island
10 / CCSS SP4 / Data Display on a number line, including dot plots, histograms, and box plots / B / Study Island
11 / CCSS SP4 / Data Display on a number line, including dot plots, histograms, and box plots / B / Study Island
12 / CCSS SP4 / Data Display on a number line, including dot plots, histograms, and box plots / Internet
#12 / 1 point / The correct data set is used
2 points / One of the three graphs (line plot, histogram, or box plot) is depicted correctly.
Question / Standard / Topic / Answer / Source of Question
13 / CCSS RP1-2 / Ratios/Statistics / D / Study Island
14 / CCSS RP1-2 / Ratios/Statistics / C / Study Island
15 / CCSS RP1-2 / Ratios/Statistics / A / Study Island
16 / CCSS RP1-2 / Ratios/Statistics / Internet
#16 / 1 point / Answer must have 3 different ratios written correctly 1. (2:6 or 2/6 or 2 to 6) 2. (3:9, 3/9, or 3 to 9) 3. (4:12, 4/12, 4 to 12)
1 point / An explanation is given indicating understanding of equivalent ratios.
Question / Standard / Topic / Answer / Source of Question
17 / CCSS RP3 / Ratios/Statistics / A / Study Island
18 / CCSS RP3 / Ratios/Statistics / C / Study Island
19 / CCSS RP3 / Ratios/Statistics / C / Study Island
20 / CCSS RP3 / Ratios/Statistics / B / Study Island

Answers for #12:

Data set in sequence

30, 34, 34, 35, 35, 35, 36, 37, 38, 39, 40, 40, 40, 46, 46, 47, 47, 47, 47, 47, 47, 48, 48, 48, 49, 49, 50, 54, 54, 58

Line Plot Answer

X
X
X
X / X / X / X
X / X / X / X / X / X / X / X
/ X / / / / X / X / X / X / X / X / X / / / / X / X / X / X / X / / X / / / X /
30 / 31 / 32 / 33 / 34 / 35 / 36 / 37 / 38 / 39 / 40 / 41 / 42 / 43 / 44 / 45 / 46 / 47 / 48 / 49 / 50 / 51 / 52 / 53 / 54 / 55 / 56 / 57 / 58 / 59 / 60

Histogram Answer

Box-and-Whisker Answer

Lower Extreme / Lower Quartile / Median / Upper Quartile / Upper Extreme
30 / 31 / 32 / 33 / 34 / 35 / 36 / 37 / 38 / 39 / 40 / 41 / 42 / 43 / 44 / 45 / 46 / 47 / 48 / 49 / 50 / 51 / 52 / 53 / 54 / 55 / 56 / 57 / 58 / 59 / 60

Lower Extreme = 30

Upper Extreme = 58

Lower Quartile = 37

Upper Quartile = 48

Median = 46.5 (58 – 30 = 28. 28/2 = 14. 30 + 14 = 44)

Interquartile range (IQR) = 48 – 37 = 11