assessment 1 - mrs. yates page€¦ · b with this hourly rate, the painter must work more than 12...

Go On

Assessment 1

©Curriculum Associates, LLC Copying is not permitted.

Assessment 1 1

Answer questions 1–62. Answer multiple-choice and multi-select problems on the Answer Form. Answer all other problems in your test booklet.

1

Refer to the number line below.

–2 –1 0 1 253

43

13

23

43

53– – – –2

313

Select all the statements that are true.

A Since 22 is to the left of 1, 22 , 1.

B Since 21 is to the left of 1, 21 5 1.

C Since 22 is to the left of 1 } 3 , 22 . 1 } 3 .

D Since 22 is to the left of 21, 21 , 22.

E Since 21 is to the left of 2 2 } 3 , 21 , 2 2 } 3 .

F Since 21 is to the left of 2, 2 . 21.


Assessment 12

2

This table shows the daily changes in the price of a stock. The value 0 represents no change from the price on the previous day.

Day Price Change (in dollars)

Monday 10.78

Tuesday 10.44

Wednesday 21.27

Thursday 10.35

Friday 20.68

On which days did the price of the stock increase? Select all that apply.

A Monday

B Tuesday

C Wednesday

D Thursday

E Friday


Assessment 1 3

Go On

3

Consider the number line and coordinate plane below.

Part A

Plot 2(26) on the number line.

–1 1 3 5 60 2 4–7 –5 –3–6 –4 –2 7

Part B

Plot the point (22, 24) and plot a point that is 6 units above (22, 24).

x

y

20

4

6

10

–2

–4

–6

–8

–10

–2–4–6–8–10 4 6 10

2

8

8


Assessment 14

4

The student council set a goal of raising at least $500 in flower sales. So far it has raised $415.

Part A

Write an inequality to show how many more dollars, d, the student council needs to reach its goal.

Answer

Part B

How many solutions does the inequality have? Explain your reasoning by giving some examples of solutions to the inequality.

5

Write an algebraic expression for the verbal expression below.

Seven less than the ratio of 6 and a number, n

Answer


Assessment 1 5

Go On

6

Plot the ordered pair on the grid below that represents point A reflected across the y-axis.

x

y

10

2

3

5

–1

–2

–3

–4

–5

–1–2–3–4–5 2 3 5

1

4

4A

(–2, 3)

7

What is the greatest common factor of each pair of numbers? For each pair of numbers, mark an X in the correct column.

3 6 12

24 and 36

12 and 48

18 and 42

3 and 9


Assessment 16

8

Central Park is shaped like a rectangle. Two diagonally-opposite corners of the park are located at (28, 6) and (5, 24) on the coordinate plane.

Part A

Plot points on this coordinate plane to represent all 4 corners of Central Park.

x

y

20

4

6

10

–2

–4

–6

–8

–10

–2–4–6–8–10 4 6 10

2

8

8

Part B

If each square on the graph represents one city block, what are the length and width of Central Park? The park is longer than it is wide.

Answer Length: city blocks

Width: city blocks


Assessment 1 7

Go On

9

The temperature in Salt Lake City was 210.6°C. Which absolute value equation best describes how many degrees the temperature was below 0°C?

A |210.6| 5 10.6

B |210.6| 5 210

C |210.6| 5 10

D |210.6| 5 210.6

10

What is 1,476 divided by 12?

Answer


Assessment 18

11

A painter charges $20 for every hour that he paints. Let h represent the number of hours he paints and e represent his earnings. Select all the statements that are true.

A The equation h 5 20e shows the correct relationship between the earnings and the hours worked.

B With this hourly rate, the painter must work more than 12 hours to earn $500.

C With this hourly rate, the painter earns 20h dollars for each hour worked.

D With this hourly rate, if the painter works 10 hours, he earns $20.

E If the painter raises his hourly rate by $2, the new equation to calculate his earnings is e 5 22h.


Assessment 1 9

Go On

12

Wellington is hosting a graduation party. He poured some pineapple juice from the container shown below for his guests. The figure shows how much pineapple juice was left in the container after Wellington poured some out.

1 gallon

gallon

gallon

gallon

34

12

14

The amount of pineapple juice shown is 6 } 7 of the amount originally in the

container. Was the container full when Wellington began pouring? Explain how

you know.


Assessment 110

13

In January, the low temperature in Denver was 212°F, and the low temperature in Chicago was 217°F. Which statement is true?

A Since 212 , 217, it was colder in Denver than in Chicago.

B Since 212 . 217, it was colder in Denver than in Chicago.

C Since 212 , 217, it was colder in Chicago than in Denver.

D Since 212 . 217, it was colder in Chicago than in Denver.

14

A piece of wood that is 3 } 4 meter long is being cut into smaller pieces that are

each 1 }} 10 meter long. Which expression could be used to determine how many

smaller pieces can be cut?

A 3 } 4 3 1 }} 10

B 3 } 4 3 10 }} 1

C 10 }} 1 3 4 } 3

D 1 }} 10 3 3 } 4


Assessment 1 11

Go On

15

A youth ice hockey team scores 14 goals in September. In that month, Colin scored 6 of the goals for his team. Draw additional pucks to show the ratio of goals scored by Colin to total goals scored by the team. Use pucks with C on them to represent Colin’s goals.

C


Assessment 112

16

An appliance manufacturer recommends keeping the freezer set at 220°C.

Part A

What is |220|?

Answer

Part B

Explain what the absolute value tells you about 220°C.

17

Which equation is true for any value of y?

A 4y2 1 2 5 (4y 3 4y) 1 2

B 4y2 1 2 5 (4y 1 y) 1 2

C 4y2 1 2 5 4(y 1 y) 1 2

D 4y2 1 2 5 4(y 3 y) 1 2


Assessment 1 13

Go On

18

What is the product of 14.5 and 20.2?

Answer

19

The distances and times of practice runs for four students on a cross-country team are shown in the table below.

Runner Distance (miles)

Time (minutes)

Sean 3 21

Gwen 4 32

Marc 5 30

Imani 2 14

Select all the statements that are correct.

A Sean’s average time per mile was 7 minutes.

B Gwen’s average time per mile was 8 minutes.

C Marc’s average time per mile was 7 minutes.

D Imani’s average time per mile was 6 minutes.

E Marc had the fastest average time per mile.

F Sean had the slowest average time per mile.


Assessment 114

20

As part of a new fitness plan, Sabir walks on a treadmill at the same speed for 15 minutes every morning. The table shows the calories he burns over time.

Time (in minutes) Number of Calories Burned

3 15

6 30

9 45

12 60

Part A

Write an equation to represent the relationship between the time Sabir walks and the number of calories he burns. Use x as the independent variable and y as the dependent variable.

Answer

Part B

Plot the points in the table on the graph shown below. Label the axes of the graph and choose an appropriate scale for each axis.

Calories BurnedOver Time


Assessment 1 15

Go On

Part C

Sabir makes a chart to track the total calories he burns on the treadmill. Shade the chart below to show how many calories Sabir will have burned after following his morning treadmill workout for seven days.

0 25 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400 425 450 475 500 525 550 575 600 625

Calories Burned This Week

21

Which statement about a data set provides the most information about the variability of the data?

A The mean of the data set is 28.

B The median of the data set is 30.

C The range of the data set is 18.

D The maximum of the data set is 40.


Assessment 116

22

Consider the expression below.

3x 2 (2y2 1 z3)

Evaluate the expression when x 5 0.02, y 5 0.1, and z 5 0.3.

Answer

23

A contractor digs a rectangular hole that is 40 feet long and 10 1 } 2 feet deep.

What is the width of the hole if 6,510 cubic feet of dirt is removed?

Answer feet


Assessment 1 17

Go On

24

A school wants to rent out a laser tag arena. The table shows the cost of renting the arena for different numbers of hours. Suppose the arena charges a constant hourly rate. Fill in the missing values in the table.

Hours 5 9

Cost (in dollars) 500 1,250 3,500

25

Write an expression that best represents the statement below.

A number, x, multiplied by 4 is subtracted from the difference of the same number and 65.

Answer


Assessment 118

26

Use the net shown below.

10 cm8 cm6 cm

6 cm

12 cm

6 cm

[not drawn to scale]

What is the surface area of the three-dimensional figure?

A 288 cm2

B 312 cm2

C 336 cm2

D 368 cm2

27

What is the value of (6)3?

Answer


Assessment 1 19

Go On

28

The dot plots below show the runs scored in each of the first 10 games of the season by the Hawks and the Eagles.

0 2 4 6Runs Scored (Hawks)

8 101 3 5 7 9

0 2 4 6Runs Scored (Eagles)

8 101 3 5 7 9

Part A

What is the mean number of runs for the Hawks?

Answer

Part B

Add two points to the dot plot for the Hawks that show possible runs scored in the next two games if the mean number of runs decreases and the range increases.

Part C

Add two points to the dot plot for the Eagles that show possible runs scored in the next two games if the mean number of runs stays the same.


Assessment 120

29

Julian spent an equal amount of money each day on his 6-day vacation. He spent less than $300 on vacation. The amount that he spent is represented by the inequality below.

6m , 300

Select all the dollar amounts that could represent m, the amount Julian spent each day.

A $42

B $44

C $46

D $48

E $50

F $52

30

A survey conducted at a local pet store included a section about dogs. Which of these questions is a statistical question and should be included on the survey?

A How many legs does a dog have?

B How many dogs do you own?

C Is a veterinarian a doctor for dogs?

D Is a kennel a shelter for dogs?


Assessment 1 21

Go On

31

On a particular Saturday, 60% of the visitors to an art museum were students. If 144 students visited the museum, how many total visitors did the art museum have that day?

A 200

B 204

C 220

D 240

32

A can of tomato soup contains 8 ounces of soup. One ounce is equal to 28.35 grams. How many grams of soup are in the can?

Answer grams

33

Rammy has saved $26 for a new bicycle helmet that costs $47. Let n represent the money he still needs to save. Write an addition equation using n that would allow Rammy to find the amount of money that he still needs to save.

Answer


Assessment 122

34

The histograms show the numbers of hours two different groups of students spend online each week.

Time Spent Online

Group A

Nu

mb

er o

f S

tud

ents

Number of Hours

67

5

98

3

1

4

2

0-4 5-9 10-14 15-190

Time Spent Online

Nu

mb

er o

f S

tud

ents

Number of Hours

67

5

98

3

1

4

2

0-4 5-9 10-14 15-190

Group B

Which statement must be true?

A The mean for Group B is greater than the mean for Group A.

B The interquartile range for Group A is less than the interquartile range for Group B.

C The median for Group B is greater than the median for Group A.

D The ranges for Group A and Group B are the same.


Assessment 1 23

Go On

35

The table below shows the numbers of tickets, x, sold at a carnival and the amounts of money, y, in dollars collected.

Cost of Carnival Tickets

Number of Tickets Amount Collected ($)

5 $15

10 $30

15 $45

20 $60

25 $75

Which equation represents the relationship?

A y 5 x 1 10

B y 5 5x

C y 5 x 1 15

D y 5 3x

36

The rectangle shown below has an area of 4(x 1 3) square units.

4

x 1 3

Use the distributive property to write an equivalent expression for the rectangle’s area.

Answer


Assessment 124

37

Rebecca surveyed a group of students about the number of magazine subscriptions they sold for a fundraiser. She made the histogram below to show her results.

Nu

mb

er

of

Stu

den

ts

Number of MagazineSubscriptions

3035

25

15

5

20

10

0-4 5-9 10-14 15-19

Which could have been the group of students Rebecca surveyed?

A students in her homeroom

B students in the cafeteria at lunch

C students sitting in the office

D students playing in one basketball game

38

Michael starts with $45 in his savings account and adds $5 to the account each week. Write an expression for the number of dollars in Michael’s savings account after w weeks. Assume that no other money is added to or removed from the account.

Answer


Assessment 1 25

Go On

39

The Millers drove 150 miles in 3 hours, and they continue to drive at the same rate. Fill in the missing values in the table.

Time (hours) Distance (miles)

3 150

8

5

9

12

40

The area of a trapezoid can be calculated with the formula A 5 a 1 b }}} 2 3 h, where

a and b are the lengths of the bases, and h is the height. What is the area of a

trapezoid when a 5 2, b 5 6, and h 5 9?

Answer square units


Assessment 126

41

In science class, students are learning about organic compounds. An acetic acid molecule is made of 2 carbon atoms, 2 oxygen atoms, and 4 hydrogen atoms. What is the ratio of carbon atoms to all atoms in 2 molecules of acetic acid?

A 4:12

B 4:16

C 12:4

D 16:4

42

Consider the expression below.

2x3 1 5x 1 7y 2 6

Select all the statements that describe the expression.

A There are exactly three terms in the expression.

B The coefficient of the first term is 3.

C The coefficient of the second term is 5.

D There are exactly four terms in the expression.

E The coefficient of the third term is y.

F The coefficient of the first term is 2.


Assessment 1 27

Go On

43

Kende bought 3 books that were all the same price. He paid a total of $40.20.

Part A

Write an equation that represents the above situation. Use b to represent the price of a book.

Answer

Part B

What is the cost of one book?

Answer $

Part C

Kende also bought a bookmark. The combined amount he paid for the books and the bookmark was $43.15. What is the bookmark’s cost?

Answer $


Assessment 128

44

Below is a diagram of Arthur’s garden.

50 feet

80 feet

40 feet


Arthur wants to plant flowers in the triangular section of the garden and vegetables in the rectangular section. Select all the statements that describe the garden.

A Arthur will plant exactly 1,600 square feet of vegetables.

B Arthur will plant 600 square feet of flowers.

C Arthur will plant 2,500 square feet of vegetables.

D The total area of the garden is 3,200 square feet.

E The total area of the garden is 2,600 square feet.

F Arthur will plant 2,000 square feet of flowers.

45

Points representing the length of a rectangle are located at A(0, 0) and B(8, 0). The width of the rectangle is one half its length. What is the area of the rectangle?

A 24 square units

B 30 square units

C 32 square units

D 36 square units


Assessment 1 29

Go On

46

The box plot below shows the heights, in inches, of the 24 students in Brandon’s homeroom.

47 5149 55 57 6153 59 63 65 67 69

Select all the statements that describe the class according to the box plot.

A 50% of the students are less than 62 inches tall.

B The tallest student is 69 inches tall.

C 50% of the students are at least 56 inches tall.

D 25% of the students are less than or equal to 53 inches tall.

E There is a range of 9 inches in the heights of the students.

F 25% of the students are greater than 62 inches tall.

47

Hannah found that an antivirus program on her personal computer scans 182 megabytes of data in 7 seconds. At what rate does her antivirus program scan the data?

Answer megabytes per second


Assessment 130

48

Consider the inequality x 1 8 . 13.

Use substitution to determine which numbers make the inequality true. Mark all that apply.

A 4

B 4.5

C 5

D 5.5

E 6

F 6.5

49

What is the volume of an 8-inch by 4-inch by 4 1 } 2 -inch rectangular box?

Answer cubic inches


Assessment 1 31

Go On

50

Kelly is reading a book with 12 chapters. The number of pages in each chapter is listed below.

9, 19, 25, 13, 17, 17, 15, 22, 24, 20, 15, 18

Complete the histogram to display these data.

Pages in BookN

um

ber

of

Ch

apte

rs

Number of Pages

67

5

98

3

1

4

2

0–9 10–19 20–290

51

What is 164.4 divided by 2.4?

Answer


Assessment 132

52

The point (4, 3) is reflected across the x-axis and then across the y-axis.

Part A

Plot and label the final point P after the reflections.

x

y

10

2

3

5

–1

–2

–3

–4

–5

–1–2–3–4–5 2 3 5

1

4

4

Part B

Suppose the point (4, 3) is first reflected across the y-axis and then reflected across the x-axis. Fill in the coordinates of the resulting point in that case.

Answer ( , )


Assessment 1 33

Go On

53

Mrs. Benjamin analyzed the scores her 24 students earned on their most recent vocabulary test. The results showed a mean score of 76 (out of 100), a median score of 80, and a range of 38. Select all the statements that can be supported by the data.

A The lowest score earned by any student was a 38.

B 50% of the students earned a score of 80 or higher.

C Exactly 25% of the students earned a score of 80 or lower.

D The highest score earned by any student was a 76.

E The highest score was 38 points greater than the lowest score.


Assessment 134

54

Triangle QTU has vertices Q(2, 8) and T(2, 2) and has an area of 36 square units. Plot a possible point U on the grid.

20

18

16

14

12

10

8

6

4

2

2 4 6 8 10 12 14 16 18 200

y

x

T(2, 2)

Q(2, 8)


Assessment 1 35

Go On

55

Olivia is 4 feet 10 inches tall. She compared her height with her younger sister, Susan, and found that Susan is 15 inches shorter than she is.

Part A

What is Olivia’s height, in inches?

Answer inches

Part B

What is Susan’s height, in centimeters?

Answer centimeters

56

Which expressions are equivalent to 5 3 5 3 5 3 5 3 5 3 5? Select all the expressions that apply.

A 53 3 53

B 5 3 55

C 15 3 15

D 56

E 5 3 6

F 52 3 52 3 52

1 inch 5 2.54 centimeters


Assessment 136

57

The figure below shows Andrew’s plan for a deck.

12 ft

33 ft

24 ft

22 ft


Explain how to use triangles and rectangles to determine the area of the deck.


Assessment 1 37

Go On

58

What is an appropriate question for a survey about a book that was read in Language Arts class? Select all the questions that apply.

A How long did it take you to read the book?

B Who was the book’s author?

C How many pages were in the book?

D What was your favorite chapter of the book?

E When was the book published?

59

Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling. Before lunch,

they have collected a total of 173 cans. At the end of the day, the total number of cans

collected can be represented by the expression 173 1 n. What could the variable n in

the expression represent if you know Margaret collected some cans in the afternoon?

A the combined number of cans all four collected in the afternoon

B the combined number of cans Andy and Fergus collected in the afternoon

C the number of cans Evelyn collected in the afternoon

D the number of cans Fergus collected in the afternoon


Assessment 138

60

Zalen surveyed his classmates about the number of pets they had in their homes. He displayed the results in this dot plot.

1 3 5 7 82 4 6 9Number of Pets

How many people did Zalen survey?

Answer

61

What is the value of each expression shown?

Part A

10.45 1 8.76

Answer

Part B

24.36 2 2.49

Answer


Assessment 1 39

62

The dot plot below shows the number of minutes it took Greg to get to work each morning for the last 27 days.

52 54 56 58 60 62Travel Time (minutes)

Select all the statements that are true.

A On about half the mornings, it took Greg longer than 57 minutes to get to work.

B The greatest amount of time it took Greg to get to work was 60 minutes.

C Most frequently it took Greg 59 minutes to get to work.

D The times it took Greg to get to work were evenly distributed between 52 and 62 minutes.

E The least amount of time it took Greg to get to work was 52 minutes.

STOP

Cut

alo

ng th

e do

tted

line

.

81

1. A B C D E F

2. A B C D E

3. See page 3.

4. See page 4.

5. See page 4.

6. See page 5.

7. See page 5.

8. See page 6.

9. A B C D

10. See page 7.

11. A B C D E

12. See page 9.

13. A B C D

14. A B C D

15. See page 11.

16. See page 12.

17. A B C D

18. See page 13.

19. A B C D E F

20. See page 14.

21. A B C D

22. See page 16.

23. See page 16.

24. See page 17.

25. See page 17.

26. A B C D

27. See page 18.

28. See page 19.

29. A B C D E F

30. A B C D

31. A B C D

32. See page 21.

33. See page 21.

34. A B C D

35. A B C D

36. See page 23.

37. A B C D

38. See page 24.

39. See page 25.

40. See page 25.

41. A B C D

42. A B C D E F

43. See page 27.

44. A B C D E F

45. A B C D

46. A B C D E F

47. See page 29.

48. A B C D E F

49. See page 30.

50. See page 31.

51. See page 31.

52. See page 32.

53. A B C D E

54. See page 34.

55. See page 35.

56. A B C D E F

57. See page 36.

58. A B C D E

59. A B C D

60. See page 38.

61. See page 38.

62. A B C D E

Assessment 1

Ready® FSA Mathematics Assessments, Level 6 Answer Form

Name

Teacher Grade

School City

assessment 1 - mrs. yates page€¦ · b with this hourly rate, the painter must work more than 12...

Documents