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Big Ideas Math Red/Red Accelerated Copyright © Big Ideas Learning, LLC Assessment Book All rights reserved. 4

Chapter

1 Quiz For use after Section 1.3

Answers

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

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16.

17.

Name _________________________________________________________ Date _________

Find the absolute value of the integer.

1. 8 2. 3−

Copy and complete the statement using < >, , or = .

3. 4 ? 8− 4. 5 ? 10− −

5. 6 ? 2 6. 3 ? 3−

Add.

7. 12 5− + 8. ( )4 2+ − 9. ( )3 7− + −

Subtract.

10. 4 3− − 11. ( )9 2− − 12. ( )3 7− − −

Evaluate the expression when a = 3 and b = −8.

13. 3b a− − 14. ( )6a b+ + −

15. A scuba diver dives down 20 feet into the ocean. He then swims 11 feet back up towards the surface. What is the position of the scuba diver relative to the surface?

16. You and your friend play a video game. You have a final score of 40 points and your friend has a final score of 21− points. By how many points did you win?

17. The table shows the score for a golfer on the first nine holes. What is his score through nine holes?

Hole 1 2 3 4 5 6 7 8 9 Score 1− 0 2+ 1+ 2− 1− 1− 2+ 1−

Copyright © Big Ideas Learning, LLC Big Ideas Math Red/Red Accelerated All rights reserved. Assessment Book

5

Chapter

1 Quiz For use after Section 1.6

Answers

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12. See left.

13. See left.

14.

15.

Name_________________________________________________________ Date __________

Multiply.

1. 8 5− • 2. ( )3 4− − 3. ( )9 7−

Divide.

4. 18 6− ÷ 5. 4812−

6. ( )27 3÷ −

Evaluate the expression when 6= −a and b = −4.

7. 2a b÷ − 8. 2ab ÷ 9. 3b a− +

Write an ordered pair corresponding to the point.

10. Point A

11. Point B

Plot the ordered pair in a coordinate plane. Describe the location of the point.

12. ( )2, 5C 13. ( )3, 1D −

14. You lose 2 points every time you forget to write your name on a test. You have forgotten to write your name 4 times. What integer represents your change in points from forgetting to write your name?

15. The cost for a movie ticket is $7. The cost is reduced to $5 for groups of 10 or more. How many people must be in a group for them to save a total of $30?

x

y

3

4

2

1

−3

−4

−2

4321O−2−3−4

AB

x

y

3

4

2

1

−3

−4

−2

4321O−2−3−4 x

y

3

4

2

1

−3

−4

−2

4321O−2−3−4


Chapter

1 Test A Answers

1.

2.

3.

4.

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6.

7.

8.

9.

10.

11.

12.

13.

14.

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20.

21.

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24.

Name _________________________________________________________ Date _________

Copy and complete the statement using < > =, , or .

1. 6− ? 6 2. 0 ? 3 3. 5− ? 9−

4. One fish is 4 feet below sea level. Another fish is 3 feet below sea level. Write each position as an integer. Which integer is greater?

Add.

5. ( )6 3+ − 6. ( ) ( )8 1 3+ − + −

7. You start hiking at an elevation that is 80 meters below base camp. You increase your elevation by 42 meters. What is the new elevation with respect to base camp?

Subtract.

8. ( )10 3− − 9. ( )9 9− − −

10. The temperature falls from 3 C to 4 C.° − ° What is the difference in these temperatures?

Multiply.

11. ( )7 4• − 12. ( )( )2 5 3− − −

Divide, if possible.

13. ( )12 4− ÷ − 14. 18 6− ÷

15. 168

− 16. ( )0 10÷ −

Evaluate the expression when r = −7, s = 2, and t = −5.

17. s t+ 18. t s r+ −

19. 2s rt− 20. 1+r

s

Use mental math to solve the equation.

21. ( )8 5+ − =n 22. 8 14d− =

Find the next two numbers in the pattern.

23. 6, 12, 24, 48,− − … 24. 2, 20, 200, 2000,− − …


7

Chapter

1 Test A (continued)

Answers

25. a.

b.

c.

d.

e. See left.

26. a.

b.

c.

d.

e.

f.

27.

28. a.

b.

Name_________________________________________________________ Date __________

25. The table shows the temperature in Des Moines, Iowa, for certain times during a particular day.

a. What are the high and low temperatures for the day?

b. Find the range of temperatures for the day.

c. Find the change in temperature from 5 P.M. to 10 P.M.

d. Based on the given five temperatures, what is the average temperature for the day?

e. Explain why your answer to part (d) is not an accurate average temperature for the day.

26. Write an ordered pair corresponding to the point.

a. Point A b. Point B

c. Point C d. Point D

e. Point E f. Point F

27. Which point in Exercise 26 is located in Quadrant III?

28. The pool is located at ( )0, 0 .

a. To get to your house from the pool, you walk 3 blocks west and 1 block north. What ordered pair corresponds to the location of your house?

b. What quadrant is your house located in?

Time 3 A.M. 8 A.M. 1 P.M. 5 P.M. 10 P.M.

Temperature 15 F− ° 6 F− ° 22 F° 10 F° 11 F− °

x

y

3

4

2

1

−3

−4

4321−2 −1−3−4

A

B

C

D

E

F


Chapter

1 Test B Answers

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11. See left.

12.

13.

14.

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17.

18.

19.

Name _________________________________________________________ Date _________

Order the values from least to greatest.

1. 3 , 5 , 4, 7, 0− − − 2. 6 , 10, 2, 6, 7− − − −

3. The temperature at St. Louis, Missouri, is 31 F.° The temperature at Duluth, Minnesota, is 29 F.− ° Is the temperature at St. Louis or Duluth closer to 0 F?°

Add.

4. ( ) ( )124 25 87− + + − 5. ( )97 118 0+ − +

6. The water level is 3 feet below your dock. The tide goes out and the water level lowers 1 foot. A storm surge comes in and the water level rises 2 feet. Write an integer to indicate the new water level.

Subtract.

7. ( )17 56 14− − − + 8. ( ) ( )15 98 150− − + −

Multiply.

9. ( )12 5 3− • • − 10. ( )( )2 21 5− − −

11. Two integers, n and p, have a product of 24.− What is the largest possible sum of n and p? Explain how you found your answer.

Divide, if possible.

12. ( )78 6− ÷ − 13. 65 0− ÷

Evaluate the expression.

14. ( )13 56 14 9− + − ÷ + 15. ( )16 3 36 12− • − − ÷

Evaluate the expression when r = −7, s = 2, and t = −5.

16. −s t 17. 2 −r st

18. −s tr

19. 2rts


9

Chapter

1 Test B (continued)

Answers

20. a.

b.

21.

22.

23.

24.

25. a.

b.

c.

d.

26. a. See left.

b.

c.

27.

Name_________________________________________________________ Date __________

20. Your video game scores are 64, 13, 73, 5, and 36.− −

a. What were your lowest and highest scores?

b. What was your mean score?

Use mental math to solve the equation.

21. 24 47− + = −m 22. ( )7 19− − = −d

Find the next two numbers in the pattern.

23. 4, 12, 36, 108,− − … 24. 800, 400, 200, 100,− − …

25. The table shows a bank account balance for a 5-day period.

a. Which day had the balance closest to zero?

b. Find the range of balances for the 5-day period.

c. What integer represents the change in balance from Monday to Tuesday?

d. Based on the given five balances, what is the average balance for the 5-day period?

26. The points ( ) ( ) ( ) ( )0, 0 , 0, 5 , 3, 5 , 3, 0− −A B C D are the vertices of a figure.

a. Draw the figure in the coordinate plane.

b. Find the perimeter of the figure.

c. Find the area of the figure.

27. Find values of a and b that make the statement + = +a b a b false.

Day Monday Tuesday Wednesday Thursday Friday

Balance 21− 55− 102 125 16−

x

y

3

4

5

2

1

−3

−2

4321−2 −1−3−4


Chapter

1 Standardized Test Practice

Name _________________________________________________________ Date _________

1. Two points are plotted on the number line below.

Which of the following has the greatest value?

A. W X− C. W X+

B. X W− D. X W•

2. GRIDDED RESPONSE What is the value of the expression below?

12 6 3− •

3. The temperature at 6:00 P.M. was 15 C.° The temperature dropped 2 C° per hour. What was the temperature at 4:00 A.M.?

F. 5 C− ° H. 1 C°

G. 1 C− ° I. 5 C°

4. Which list shows the integers in order from least to greatest?

A. 8, 5, 0, 2, 6− − C. 5, 8, 0, 2, 6− −

B. 0, 2, 5, 6, 8− − D. 0, 8, 5, 2, 6− −

5. Which expression represents the associative property of addition?

F. ( ) ( )3 5 8 3 5 8− + − + = − + − +⎡ ⎤⎣ ⎦

G. ( ) ( ) ( )3 5 8 5 8 3− + − + = − + + −

H. ( ) ( ) ( )3 5 8 3 5 3 8− − + = − − + −

I. ( ) ( )3 5 0 3 5− + − + = − + −

6. What is the value of the expression below?

( )48 6 35 7÷ − + − ÷

A. 13− C. 3

B. 3− D. 13

W X

−4 −3 −2 −1−5−6−7−8−9−10 0 1 2 3 4 5 6 7 8 9 10


11

Chapter

1 Standardized Test Practice (continued)

Name_________________________________________________________ Date __________

7. What is the value of the expression below?

8 249 3

÷

F. 7327

H. 153

G. 16427

I. 173

8. Which of the following has the greatest value?

A. 3 C. 5−

B. 0 D. 4−

9. A surf shop is holding a sale. The sale price of a surf lesson is 25% of the regular price. The regular price of a surfing lesson is $80. What is the price of the discounted surfing lesson?

F. $20 H. $105

G. $55 I. $320

10. EXTENDED RESPONSE In each of the equations or inequalities below, find all the integer values of x that make the equation or the pair of inequalities true. Explain your reasoning for each part.

Part A 17=x

Values of x __________________________________

Part B 9 15+ =x

Values of x ___________________________________

Part C 10 13− ≤x and 10 9− ≥x (Find the values of x that make both inequalities true.)

Values of x __________________________________


Chapter

1 Standardized Test Practice Item Analysis

1. A. The student thinks that the difference is 10 and is therefore greatest. B. Correct answer C. The student thinks that the sum must be positive and is therefore greatest. D. The student thinks that the product is 24 and is therefore greatest.

2. Correct answer: 6− Common errors:

• The student subtracts the smaller number from the larger product, getting an answer of 6.

• The student subtracts before multiplying, getting an answer of 18.

3. F. Correct answer G. The student thinks that there are only 8 hours between 6:00 P.M. and

4:00 A.M. and finds ( )15 2 8 .− H. The student thinks that there are only 8 hours between 6:00 P.M. and

4:00 A.M. and thinks that ( )15 2 8 1.− =

I. The student thinks that ( )15 2 10 5.− =

4. A. Correct answer B. The student disregards the signs and orders the numbers by magnitude only. C. The student thinks that 5− is less than 8.− D. The student thinks that 0 is less than all other integers.

5. F. Correct answer G. The student misidentifies the commutative property of addition. H. The student misidentifies the distributive property. I. The student misidentifies the addition property of zero.

6. A. The student thinks that quantities inside absolute value bars are always negative and finds the sum of 8− and 5.−

B. The student does not find the absolute value of the first expression and finds the sum of 8− and 5.

C. The student thinks that ( )48 6 8÷ − = because 48 is larger than 6. The student also ignores the absolute value bars and finds the sum of 8 and 5.−

D. Correct answer

7. F. The student multiplies by the divisor instead of its reciprocal. G. The student multiplies by the divisor instead of its reciprocal. The student also multiplies

only the fractional part of the dividend by the divisor and adds this product to 4. H. The student multiplies only the fractional part of the dividend by the reciprocal of

the divisor and adds this product to 4. I. Correct answer


13

Chapter

1 Standardized Test Practice Item Analysis (continued)

8. A. The student ignores the absolute value bars in all options, so 3 is the only positive choice.

B. The student thinks that the presence of absolute value bars makes all quantities negative, so therefore 0 has the greatest value.

C. The student applies the absolute value to the negative sign that is outside the absolute value bars, getting 5 as the greatest value.

D. Correct answer

9. F. Correct answer G. The student thinks that taking a percent of a number means to subtract and

finds the difference of 80 and 25. H. The student thinks that taking a percent of a number means to add and finds

the sum of 80 and 25. I. The student thinks that taking a percent of a number means to divide and

finds the quotient of 80 and 0.25.

10. 4 points The student demonstrates a thorough understanding of applying the concepts of absolute value to finding all integer values of variables that will make the equations or inequalities true. In Part A, the student correctly finds that 17 and 17− will make the equation true. In Part B, the student correctly finds that 6 and 24− will make the equation true. In Part C, the student correctly finds that 3, 2, 1, 0, 1, 19, 20, 21, 22, and 23− − − will make the pair of inequalities true. The student provides clear and complete explanations of the reasoning used.

3 points The student demonstrates an understanding of applying the concepts of absolute value, but the student’s work and explanations demonstrate an essential but less than thorough understanding. Students who correctly answer Parts A and B and provide a partially correct answer to Part C earn 3 points.

2 points The student demonstrates a partial understanding of applying the concepts of absolute value to finding all integer values of variables that will make equations or inequalities true. The student’s work and explanations demonstrate a lack of essential understanding. Students who correctly answer only two parts earn 2 points.

1 point The student demonstrates very limited understanding of applying the concepts of absolute value to finding all integer values of variables that will make the equations or inequalities true. The student’s response is incomplete and flawed. Students who correctly answer only one part earn 1 point.

0 points The student provides no response, a completely incorrect or incomprehensible response, or a response that demonstrates insufficient understanding of applying the concepts of absolute value. Students whose answer to Part A is 17, to Part B is 6, and to Part C are 23 and 19 have demonstrated no understanding of absolute value and earn 0 points.


Chapter

1 Alternative Assessment

Name _________________________________________________________ Date _________

1. Your teacher has asked you to help Alec, a transfer student, who missed the teaching of operations with integers. You agree to help him and you plan to work together at the library after school. You will not have any counters, so you decide to use number lines to introduce Alec to the concepts of the four operations with integers. After that, you will explain the rules for each operation.

Write a description of how you will help Alec. Include some sample problems you will do with Alec, the number lines, and how you will present the rules for each operation.

2. Of the 26 letters in the alphabet, 15 are drawn with only line segments. For this activity, you will plot 4 points and determine which of the 15 letters can be drawn using those 4 points and 2 or more line segments.

a. Solve the equations.

2 2= − ×a ( )15 3− ÷ − = b ( )10 6= + −c ( )8 3− − − = d

b. Use your answers from part (a) to write the coordinates of the ordered pairs for the following points.

( ),B c b ( ),C a b ( ),G a d ( ),Q c d

c. Plot and label the ordered pairs in a coordinate plane.

d. Explore what alphabet letters that have no curved lines can be made if you use the points you graphed as endpoints of line segments.

• Each of the four points must be the endpoint of at least one line segment.

• Two or more line segments may be used.

• Any line segment that is used must have two of the points as its endpoints.

• Do not draw a line segment that has an endpoint point other than the four points you graphed.

e. Name the letters that can be formed.


15

Chapter

1 Alternative Assessment Rubric

Name_________________________________________________________ Date __________

Score Conceptual Understanding Mathematical Skills Work Habits

4 Shows complete understanding of:

• using a number line as a conceptual model for representing integers

• operations with integers • plotting ordered pairs in a

coordinate plane

Explains all integer operation concepts and rules correctly.

Operational models represent given operations exactly.

Plotting of all ordered pairs is correctly done.

Answers all parts of each problem.

Number lines and coordinate plane are drawn carefully and accurately.

Work is neat and well organized.

3 Shows nearly complete understanding of:



coordinate plane

Explains most integer operation concepts and rules correctly.

Operational models represent given operations adequately.

Plotting of three ordered pairs is correctly done.


Number lines and coordinate plane are drawn with some care.

Work is neat and easy to follow.

2 Shows some understanding of:



coordinate plane

Explains some integer operation concepts and rules correctly.

Operational models do not represent given operations adequately.

Plotting of two ordered pairs is correctly done.


Number lines and coordinate plane are not carefully drawn.

Work is sloppy and hard to follow.

1 Shows little understanding of:



coordinate plane

Does not explain integer operation concepts and rules correctly.

Operational models do not represent given operations.

No ordered pairs are plotted.

Does not answer all parts of each problem.

Number lines and coordinate plane are drawn poorly.

Work is sloppy and hard to follow.

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