Ms. SeretanP. 6 Resource Lab

Algebra 1 Diagnostic

Day 1 Directions

• Please complete #s 1-30• Use the scratch paper provided and show all

your work!• Mark the answers on your bubble sheet.

3.

507,000 – 407,489 =

A

B

C

D

99,511

199,511

107,621

106,621

Part A: Calculators NOT Permitted

4.

52 x 311 =

A

B

C

D

16,172

1,612

2,177

2,172

5.

560 ÷ 25 =

A

B

C

D

22.4

22

11

224

6.

A

B

C

D

12

64

43

32

34

7.

A

B

C

D

30

36

56

108

3232

8.

A

B

C

D

4

8

16

32

64

9.

Which number is equivalent to

2,000 + 80 + 7 + 0.06 + 0.005 ?

A

B

C

D

287.65

2,087.65

2,087.065

287.065

10.

What is the value of the underlined digit?

549,032

A

B

C

D

9

900

9,000

90,000

11.

What is the value of the underlined digit?

549.0785

A

B

C

D

Eight

Eight hundredths

Eight thousandths

Eight ten-thousandths

12.

A B

C D

-10 10

-4 4

Evaluate:

-7 – (-3)=

13.

A B

C D

-30 -25

25 30

Evaluate.

532

14.

A B

C D

-32 -10

10 32

Evaluate.

2 5

15.

A B

C D

5

1

9

5

14

6

9

445

34

45

6

16.

A B

C D

6

1

5

3

10

3

11

4

30

23

10

1

17.

A B

C D

4

3

8

3

4

1

2

1

2

32

9

18.

Evaluate.

2.52 + 0.089

A

B

C

D

2.5289

0.341

2.609

0.341

19.

Evaluate.

10- 0.55

A

B

C

D

9.55

9.45

0.35

0.45

20.

Evaluate.

35.49 x 3 =

A

B

C

D

105.47

106.47

1,064.7

10.647

21.

What is the best estimate for the value could represent Point C?

A

B

C

D

-4

8.2

8.5

8.9

0 2 4 6 8 10-8 -6 -4 -2

A B C

22.

If point L represents the value 8, what value represents Point J?

A

B

C

D

-8

-7

-6

-3 ½

0

J K L

23.

A

B

C

D

(2,0)

(0,2)

(2,2)

(-2,0)

Which of these points represents the location of the star?

24.

A

B

C

D

0.5, 0.25, 0.2, 0.01

0.05, 0.25, 0.2, 0.1

0.5, 0.25, 0.2, 0.1

10

1,5

1,4

1,2

1

0.2, 0.4, 0.5, 0.10

Which list of decimals is equivalent to the fractions listed above?

25.

A

B

C

D

0.5

0.05

0.005

5

At Martin Luther King High School, 5% of the students were absent on the first day of school. What is the decimal equivalent to this percent?

26.

A

B

C

D

There are 12 boys and 8 girls in a class. What is the ratio of girls to total students in the class?

5:2

2:5

3:2

2:3

27.

At a restaurant, Kim ordered french fries for $2.89, a diet coke for

$1.09 and a hamburger for $7.55. About how much would her

total bill be?

A

B

C

D

between $10 and $11

between $9 and $10

between $11 and $12

between $12 and $13

28.

To drive from Houston to Dallas, you must also drive through Huntsville. Houston to Dallas is 199 miles. Huntsville and Dallas are 122 miles apart. Approximately how far is Houston from Huntsville?

A

B

C

D

70 miles

80 miles

320 miles

321 miles

Dallas

Huntsville

Houston

29.

A crate holds 900 pounds of apples. The apples are in bags holding

pounds each. About how many bags are in the crate?

A

B

C

D

between 50 and 100 bags

5

15

between 100 and 150 bags

between 150 and 200 bags

between 4,500 and 5,000 bags

30.

A

B

C

D

0.010 > 0.3

0.8 > 0.09

0.103 < 0.099

0.7 < 0.70

Which of the following inequalities is correct?

Day 1: Stop Here

• Make sure you have completed #s 1-30• Make sure your bubble sheet is neat (no stray

marks)• Make sure you have shown all your work.• Check your answers!• Raise your hand when you are finished

Day 2 Directions

• Please complete #s 31-63• Use the scratch paper provided and show all

your work!• Mark the answers on your bubble sheet.

33.

Which of the following fractions is greater than ?

A B

C D

5

3

4

3

6

4

2

1

3

2

34.

A

B

C

D

Which list has the numbers in order from least to greatest?

2

10.3, 20%, 0.09,

0.09, 0.3, 20%,2

1

0.09, 20%, 0.3,2

1

,0.3, 20%, 0.092

1

35.

Janelle has 4 more video games than James. If James has x video games, which expression below describes the number of games Janelle has?

A

B

C

D

x - 4

4x

x/4

x + 4

Part B: Calculators ARE Permitted

36.

Ms. Johnson purchased 30 copies of To Kill a Mockingbird for her class for a total of 6x – 5 dollars. Which expression represents the cost of each book?

A

B

C

D

(6x – 5) ÷ 30

30 (6x – 5)

30 + (6x – 5)

(6x – 5) - 30

37.

A B

C D

The perimeter of a triangle ABC is 190 meters. The sides (in meters) are listed below. Which equation can be used to find the missing side?

AB = 98 BC = 72 CA = v

1907298 v

190)72(98 vv 7298190

v 7298190

38.

A B

C D

60 mi/hr 6 mi/hr

13,500 mi/hr 600 mi/hr

To calculate the distance that an object travels, Ryan used the formula D = rt (rate ● time). Ryan travelled to New Jersey from Florida. He drove a total of 900 miles. If it took him 15 hours to get there, how fast did he travel, on average?

39.

Evaluate the expression.

A

B

C

D

3

7

17

13

5x – 2y if

x=3 and y= -1

40.

Evaluate the expression if a=5 b=13 and x = 3

A

B

C

D

21

7

74

71

2xab

41.

What is the relationship between x and y?

A

B

C

D

y=-x - 1

y=x + 9

y=x - 9

y=x + 4

x y

-4 5

4 13

8 17

42.

What is the relationship between x and y?

A

B

C

D

x - 23

-x - 11

3x - 1

-3x + 1

x y

6 -17

2 -5

-3 10

43.

What would be the sixth entry in this pattern?

-8, -5, -2, 1…

A

B

C

D

-3

3

4

7

44.

If x is a whole number and y equals the whole number just before x, which expression represents y?

A

B

C

D

y = x- 1

y – 1 = x

y + 2 = x

x = y

45.

Use the rectangle to answer the question. If area decreases and y stays the same, what happens to x?

A

B

C

D

x remains the same

x becomes less

x becomes greater

Not enough information is given

Area = xy

Perimeter= 2x + 2y

y

x

46.

Evaluate the expression.

A

B

C

D

171

1

49

152

)310(5335 2

47.

Solve the equation.

A

B

C

D

4

12

20

64

164

x

48.

Solve the equation.

A

B

C

D

1

15

1.5

2

785 x

49.

Solve the equation.

A

B

C

D

82

17.5

70

86

3942

1x

50.

Keith is 18 years older than his brother, Anthony who is b years old. If Keith is 27, how old is his brother (b)?

A

B

C

D

35

19

9

10

51.

Luis sold m magazine subscriptions this year. Last year, she sold half as many subscriptions. If he sold 36 last year, how many subscriptions did he sell this year (m)?

A

B

C

D

18

19

72

36m

52.

Keisha made $50 in tips Tuesday night when she was waitressing. She also makes $2.50 for every hour that she works. If she made $67.50 on Tuesday, how many hours did she work?

A

B

C

D

15 hours

1.3 hours

7 hours

6 hours

53.

Solve the following proportion:

A

B

C

D

X = 5

X = 12

X = 15

X = 60

1554 x

54.

If rectangle A is proportional to rectangle B, what is the missing measurement (x)?

3 120 11 30

A

B

C

D

A

4

6

20

x B

55.

Ms. Kenders types an average of 45 words every 30 seconds. How many words could she type in 3 minutes?

225 words4.5 words270 words90 words

A

B

C

D

56.

Sarah bought shampoo, conditioner, a new make up case and a lip gloss at the drugstore. If she spent $17.50 at the store and gave the cashier a twenty dollar bill, how much change should she expect to get back?

$2.50$3.50$17.50$37.50

A

B

C

D

57.

There are 300 students in the 8th grade at Garrison MS. At the 7th grade assembly, there were 12 students seated in each row and there are 15 rows, how many students are in the 7th grade?

27 3 300 180

A

B

C

D

58.

Darius scored half as many points as Jonathan during the basketball game. Billy scored 5 more than Jonathan. Billy scored 17 points, how many did Darius score?

12 22 2.5 6

A

B

C

D

59.

02468

10121416182022

Mon. Tue. Wed. Thu.

Class 5-01Class 5-02

APPENDIX A (Use for the next 3 questions)Students Turning in Homework During the 1st Week in

March

Day

Nu

mb

er

of

Stu

den

ts

60.

REFER TO APPENDIX A TO ANSWER THIS QUESTION. How many more 5th grade students turned in their homework on Tuesday compared to Monday?

A

B

C

D

2

4

72

6

61.

REFER TO APPENDIX A TO ANSWER THIS QUESTION. What is the median number of all 5th grade students that turned in homework, according to the data on the graph?

A

B

C

D

17.5

17

21

18

62.

REFER TO APPENDIX A TO ANSWER THIS QUESTION. Which of the following statements are true?

A

B

C

D

32 students turned in their homework on Monday.

On Thursday, more students in 5-02 turned in their homework.

An average of 16 students in 5-01 turned in their homework that week.

More in 5-02 turned in their homework on Monday and Tuesday compared to 5-01.

63.

APPENDIX B Three rules for moving points in an (x,y) plane are given below.

(1)(x,y) (x + 4, y + 2)(2)(x,y) (y,x)(3)(x,y) (x, y - 1)

For example, moving (3,2) according to each rule gives these results.

(4)(3,2) (3 + 4, 2 + 2) or (7,4)(5)(3,2) (2,3)(6)(3,2) (3,2-1) or 3,1)

64.

REFER TO APPENDIX B TO ANSWER THIS QUESTION. What is the result when (3,0) is moved using Rule #3?

A

B

C

D

(3,1)

(2,0)

(3,-1)

(0,-1)

65.

REFER TO APPENDIX B TO ANSWER THIS QUESTION. If (4,5) is first moved by Rule 1 and then the resulting point is moved by Rule 2,what is the final result?

A

B

C

D

(3,1)

(8,6)

(8,7)

(7,8)

66.

REFER TO APPENDIX B TO ANSWER THIS QUESTION. Which statement is true?

A

B

C

D

Rule 1 will move a point the farthest on a coordinate grid

Rule 1 moves the x and y coordinate the same amount of spaces

If Rule 3 were applied to (-4,5), the resulting point would be (4,-5)

If Rule 3 were applied to (-4,-5), the resulting point would be (-4,-6)

67.

Number of Sheets of Paper Used by the 4th Grade (60 total students) in 1 Week

0

20

40

60

80

Mon Tues Wed Thurs FriDays of the Week

Numb

er of

Pape

rs Us

ed(n

)

(d)

APPENDIX C (use for the next 3 questions)

68.

REFER TO APPENDIX C TO ANSWER THIS QUESTION. Which statement is not true?

A

B

C

D

4th grade students used more than 200 pieces of paper last week

Tuesday, students used the least amount of paper

The largest increase in paper used was between Tuesday and Wednesday

The largest increase in paper used was between Thursday and Friday

69.

REFER TO APPENDIX C TO ANSWER THIS QUESTION. What is the mean number of pages used by the 4th graders?

A

B

C

D

52.5

40

42

70

70.

REFER TO APPENDIX C TO ANSWER THIS QUESTION. Which statement best describes the 4th grade class who were a part of this data?

A

B

C

D

Students took a 6 page test on Tuesday

Students had a snow day and didn’t come to school on Tuesday

Each student in the 4th grade got a 1-page homework and a 1-page in class assignment on Monday

Each student in the 4th grade took a 2-page quiz on Friday

Day 2: Stop Here

• Make sure you have completed #s 1-30• Make sure your bubble sheet is neat (no stray

marks)• Make sure you have shown all your work.• Check your answers!• Raise your hand when you are finished