CHAPTER Chapter Test Form A - · PDF filed 2s 20 Chapter Test Form A continued...

Copyright © by Holt, Rinehart and Winston. 107 Holt Algebra 1All rights reserved.

Name Date Class

6CHAPTER

Select the best answer.

1. Which ordered pair is a solution of

{ x � 2y � 1 y � x ?

A � �1, �1 � B � 3, 1 �

2. The graph of a system of linear equations is shown below. What is the solution of the system?

A � 0, 0 � B � 2, 2 � C � 0, 2 � D � 1, 1 �

3. Solve by substitution: { y � x � 1

x � y � 7 .

A � 2.5, 3.5 � C � 6, 7 � B � 0, 1 � D � 3, 4 �

4. Solve by elimination: { 2x + y � 10

x � y � 2 .

A � 4, �2 � B � 8, �6 �

5. Leslie joins a fitness club that has a membership fee of $20 plus $15 per month. Rashad’s club has a fee of $40 and charges $10 per month. In how many months will the two clubs cost the same?

A 4 months

B 12 months

6. Solve by any method: { �x � y � 1

x � y � 3 .

A � 2, 1 � B � 1, 2 �

7. Which term describes a system with exactly one solution?

A consistent and independent

B consistent and dependent

C inconsistent

D dependent

Chapter Test Form A

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Name Date Class

6CHAPTER

8. Which equation would make this system have an infinite number of solutions?

{ y � x � 2

A 2y � 2x � 2

B y � 2 � x

C y � 2x

D y � 3x � 1

9. Solve { x � 2y � 4 2y � x � 6

.

A no solution

B infinitely many solutions

10. Which ordered pair is a solution ofy � x � 1?

A � 0, 2 � B � 1, 3 � C � 2, 3 � D � 3, 3 �

11. The solution of which linear inequality is graphed below?

A y � �x C y � �x

B y � �x D y � �x

12. For which system of linear inequalities is the ordered pair � 1, �1 � a solution?

A { y � �x � 1

y � x � 1

B { y � x � 1

y � x � 3

13. The graph of a system of linear inequalities is shown below. Which ordered pair is a solution of the system?

A � �2, 2 � C � 2, �2 � B � 4, 3 � D � �4, 0 �

14. Amber is buying drinks and snacks for a party at her house.She can spend no more than $20. Drinks d cost $1 each.Snacks s cost $2 each. She needs at least 5 of each snack. What system represents this situation?

A { d � 5

s � 5

d � s � 20

B { d � 5

s � 5

d � 2s � 20

Chapter Test Form A continued



Name Date Class

6CHAPTER Chapter Test

Form BSelect the best answer.

1. Which ordered pair is a solution of

{ x � y � �3

2x � y � 0 ?

A � �3, 0 � B � �1, 2 � C � 0, 0 � D � 1, 4 �

2. The graph of a system of linear equations is shown below. What is the solution of the system?

F � 0, 3 � H � 2, 4 � G � 0, 6 � J � 6, 0 �

3. Solve by substitution: { y � x � 3

2x � y � 9 .

A � 1.5, 4.5 � B � 2, 5 � C � 3, 6 � D � 6, 9 �

4. Solve by elimination: { 3x � 2y � 1

x � 2y � 11 .

F � �5, 8 � H � 3, �4 �

G � � 5 __ 2 , 17 ___

4 � J � 4, � 7 __

2 �

5. Sam needs to make a long-distance call from a pay phone. With his prepaid phone card, he will be charged $1.00 to connect and $0.50 per minute. If he places a collect call with the operator he will be charged $3.00 to connect and $0.25 per minute. In how many minutes will the phone card and the collect call cost the same?

A 5 min.

B 5 1 __ 3 min.

C 8 min.

D 16 min.

6. Solve by any method: { 2x � y � 11

x � 3y � 18 .

F � � 15 ___ 7 , 47 ___

7 � H � 7 __

2 , 15 ___

4 �

G � 3, 5 � J � 5, 1 �

7. Which term describes a system with no solution?

A consistent

B dependent

C inconsistent

D independent



Name Date Class

6CHAPTER

8. Which equation would make this system consistent and dependent ?

{ y � 2x � 4

F y � 2x � 5 H 2x � y � �4

G 6x � 3y � 12 J y � 3x � 4

9. Solve { 4x � 2y � 6

y � 2x � 3

A no solution

B � 0, 0 �

C � 3 __ 2 , 0 �

D infinitely many solutions

10. Which ordered pair is a solution ofy � 5x � 2?

F � 1, 5 � H � 3, 13 � G � 2, 7 � J � 4, 4 �


A 3x � y � �4 C �3x � y � �4

B 3x � y � 4 D 3x � y � 4

12. For which system of linear inequalities is the ordered pair � �1, 3 � a solution?

F { y � �x � 6

y � 2x � 3 H { y � �x � 6

y � 2x � 3

G { y � �x � 6

y � 2x � 3 J { y � �x � 6

y � 2x � 3

13. The graph of a system of linear inequalities is shown below. Which ordered pair is a solution of the system?

A � �3, �6 � C � 0, �2 � B � �2, 0 � D � 3, �6 �

14. A factory makes widgets x and gadgets y. Widgets cost $3 and gadgets cost $5 each to make. The boss wants at least 10 widgets and 20 gadgets per day. Total costs need to be at most $300 per day. What system represents this situation?

F { x � 10

y � 20

x � y � 300 H { x � 10

y � 20 3x � 5y � 300

G { x � 10

y � 20

3x � 5y � 300 J { x � 10

y � 20 5x � 3y � 300

Chapter Test Form B continued



Name Date Class


Form CSelect the best answer.

1. Which ordered pair is a solution of this

system: { 4x � y � �3

3y � 6x � 6 ?

A � 2, 11 � C � 1 __ 2 , 3 �

B � �1, �1 � D � � 1 __ 2 , 1 �

2. Estimate a solution to the system.

F � 3, �2 � G (�2.5, 3.5)

H � 3.5, �2.5 � J (4, �2)

3. Solve by substitution: { y � 3x � 2

3x � 2y � �13 .

A � �2, 4 � B � 3, 11 � C � 11, 3 � D � 1, �5 �

4. Solve by elimination: { 2x � 3y � �7

2y � 4x � 10 .

F � �1, 3 � H � �2, 1 � G � 1, 3 � J � 1, �2 �

5. Robin has $24.50 and her brother Wayne has $68.50. Her brother is paying her $2.75 each day to help with his chores. When will they have the same amount of money?

A 4 days C 16 days

B 8 days D 44 days

6. Solve { 2y � 3x � 4

3y � 2x � �4 .

F � 4, 8 �

G � �1, 1 __ 2 �

H � �4, �4 �

J � �1, �2 �

7. Logan has read 14 books and is reading 1 each week. Mariko has read 12 books and is reading 1 each week. Which term describes this scenario?

A consistent

B dependent

C inconsistent

D independent



Name Date Class


Form C continued

8. Which equation would make this system consistent and dependent?

{ 2 __ 3 y � 7x � 1 __

2

F 21x � y � 3 __ 2

H y � 21 ___ 2

x � 3 __ 2

G 42x � 4y � 3 J 21x � 2y � 3

9. Solve { 9 __ 4 x � 4y � 6

40 � 2 __

3 y � 3 __

8 x .

A � 4, 3 __ 4 �

B � 8, 64.5 � C infinitely many solutions

D no solution

10. Which ordered pair is a solution of�2y � 4x � 10?

F � 2, 0 � H � �2, 10 � G � 3, �2 � J � �1, �6 �


A y � �4x �18 C 18 � y � �4x

B �18 � y � 4x D y � 18 � 4x

12. For which system of linear inequalities is the ordered pair � �4, �3 � a solution?

F { 6 � y � �2x

�y � 2 � 3x H { x � y � 4

y � 2x � 5

G { y � 6 � �x

�y � �2x � 1 J { 4 � y � �2x

y � 2 � 3x

13. Which ordered pair is a solution of the system?

A � �5, �10 � C � 0, �4 � B � �4, �12 � D � 12, 0 �

14. A class fundraiser is earning $7 per car wash w and $4 per cake c sold. The cakes cost $2 to make and the supplies for the car wash cost $1 per car. They will wash less than 50 cars and bake no more than 30 cakes. They want to raise at least $320 to give to a local charity. What system represents this situation?

F { w � 50

c � 30

w � c � 320 H { w � 50

c � 30 7w � 4c � 320

G { w � 50

c � 30

5w � 3c � 320 J { w � 50

c � 30 6w � 2c � 320



Name Date Class

6CHAPTER

1. Tell whether � 5, 2 � is a solution of

{ x � 3y � 11

2x � y � 3

2. Solve { y � x � 3

y � �x � 5 by graphing.

3. Solve by substitution: { y � 10 � x

2x � y � 4 .

4. Solve by elimination: { x � 2y � �7

4x � 2y � 22 .

5. Tank A contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. Tank B contains 100 gallons of water and is decreasing at a rate of 8 gallons per minute. In how many minutes will the tanks contain the same amount of water? How much water will that be?

6. Solve by any method: { y � 3x � 2

y � �2x � 8 .

7. Classify { y � �6x � 10

y � �6x � 3 .

Write consistent and independent,consistent and dependent, orinconsistent.

Chapter Test Form A



Name Date Class


Form A continued

8. How many solutions does

{ 2x � y � 3

2y � �4x � 6 have?

9. Solve { y � 1 __ 2 x � 5

2y � x � 24 .

10. Tell whether � 1, 10 � is a solution of y � 5 � 6x.

11. Write the inequality represented by the graph below.

12. Tell whether � –6, 0 � is a solution of

{ y � x � 4

y � �2x .

13. Graph { y � � 1 __ 2 x � 4

y � x � 1

.

Give two ordered pairs that are solutions and two ordered pairs that are not solutions.

solutions:

not solutions:

14. At Healthy Hair, the cost of a children’s haircut x is $4 and the cost of an adult haircut y is $14. The manager’s goal for the day is to have at least 5 children’s cuts, at least 20 adult cuts, and to have total sales be greater than $500. Write a system to represent this situation.



Name Date Class

6CHAPTER

1. Tell whether � �5, �6 � is a solution of

{ x � 2y � 7

y � x � �1 .

yes

2. Solve { 4x � y � �1

y � 4 � x by graphing.

x

y

2 3 51 4�2 �1�5 �3�1

�2

�3

�4

�5

1

2

3

4

5

0�4

� �1, 3 �

3. Solve by substitution: { 3x � 2 � y

y � 2x � �5 .

� �3, �11 �

4. Solve by elimination: { 3x � 2y � 4

x � 4y � 34 .

� 6, 7 �

5. The population of Medford High School is 800 students and the population of Westville High School is 1240 students. The population of Medford High has been increasing at a rate of 30 students per year, while the population of Westville High has been decreasing by 25 students per year. If these rates remain constant, in how many years will the populations of the two schools be the same? How many students will that be?

8 yrs, 1040 students

6. Solve by any method: { y � 5 � � 1 __ 2

x

x � y � 2 .

x

y

2 3 51 4�2 �1�4�5 �3�1

�2

�3

�4

�5

0

1

2

3

4

5

6

7

� 2, 4 �

7. Classify { y � 2 __ 3 x � 7

3y � 2x � 3 .

inconsistent

Chapter Test Form B

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Name Date Class


Form B continued

8. How many solutions does { �4x � y � 1

2y � 2 � 8x

have?

infinitely many

9. Solve { 8y � 6x � 48

2y � 3 __ 2 x � 12

.

no solution

10. Tell whether � 4, 3 � is a solution ofy � �2x � 5.

no


x � �2

12. Tell whether � �1, �4 � is a solution of

{ �2x � y � 6

y � 4x .

no

13. Graph { �4x � y � �6

5y � �x � 20 .

Give two ordered pairs that are solutions

and two ordered pairs that are not solutions.

x

y

2 6 8 104�2�4�6�8�10

�2

�4

�6

�8

�10

0

2

4

6

8

10

possible answers:sol: � �6, �6, � � �8, �10 �

not sol: � 6, 0 � , � 1, 7 �

14. A farmer has 165 feet of fencing material in which to enclose a rectangular grazing area. He wants the length x to be greater than 50 feet and the width y to be no more than 20 feet. Write a system to represent this situation.

{ x � 50

y � 20

2x � 2y � 165



Name Date Class


Form C 1. Tell whether � � 1 __

2 , 1 � is a solution of

{ 2x � y � � 2

y � 4x � 3 .

2. Solve { y � 2 � 1 __ 3 x

3y � �2x � 3 by graphing.

3. Solve by substitution: { �2x � y � 3

y � 12 � x .

4. Solve by elimination: { 3y � 4x � 29

2y � 5x � 4 .

5. A chemist has a 2% acid solution and an 8% acid solution. He wants to mix the solutions to get 300 mL of a 5.5% acid solution. How many milliliters of each solution does he need?

6. Solve by any method: { y � x � 3

1 __ 2

y � � 1 __ 3 x .

7. Classify { 5y � 4x � �5

10y � 2 � 4x .



Name Date Class


Form C continued

8. How many solutions does

{ 3y � �6x � 3 __ 2

y � 2x � 1 have?

9. Solve { 6y � 4x � 6

9y � 6x � 9 .

10. Tell whether � 10, 7 1 __ 2 � is a solution of

y � � 1 __ 4 x � 5.


12. Tell whether � 5, 1 __ 3 � is a solution of

{ y � x � 4

�x � 3y � �4 .

13. Graph { y � 3x � 5 3x � y � 7

.

Give two ordered pairs that are solutions and two ordered pairs that are not solutions.

14. An artist has 600 inches of framing material to form a rectangular frame. The dimensions of the wall on which it will hang limit the frame’s width to no more than 200 inches. The artist wants the length to be at least 2 times longer than the width. Write a system to represent this situation.



Answer Key continued

Chapter Test Form A

1. A

2. B

3. D

4. B

5. A

6. B

7. A

8. B

9. A

10. C

11. C

12. B

13. C

14. B

Chapter Test Form B

1. B

2. H

3. B

4. H

5. C

6. G

7. C

8. G

9. D

10. F

11. B

12. J

13. C

14. H

Chapter Test Form C

1. D

2. H

3. B

4. H

5. B

6. H

7. C

8. G

9. D

10. H

11. B

12. J

13. C

14. J

Chapter Test Form A

1. no

2. � 4,1 �

3. � �2, 8 �

4. � 3, 5 �

5. 5 min; 60 gal

a107_Assess_Answer.indd 271a107_Assess_Answer.indd 271 6/2/06 2:10:54 PM6/2/06 2:10:54 PM



6. � �2, �4 �

7. inconsistent

8. infinitely many

9. no solutions

10. no

11. y � 6 � 1 __ 4 x

12. yes

13. possible answers: � 2, 1 � , � 4, 0 � ; � �4, 0 � , � �6, �2 �

14. { x � 5

y � 20

4x � 14y � 500

Chapter Test Form B

1. yes

2. � �1, 3 �

3. � �3, �11 �

4. � 6, 7 �

5. 8 yrs, 1040 students

6. � 2, 4 �

7. inconsistent

8. infinitely many

9. no solution




10. no

11. x � �2

12. no

13.

possible answers: sol: � �6, �6 � � �8, �10 � ; not sol: � 6, 0 � � 1, 7 �

14. { x � 50

y � 20

2x � 2y � 165

Chapter Test Form C

1. yes

2. � �3, 1 �

3. � �5, 7 �

4. � �2, 7 �

5. 125 mL of the 2% and 175 mL of the 8%

6. � 9, �6 �

7. consistent and independent

8. none

9. infinitely many solutions

10. yes

11. y � 1 __ 2

12. no

13. Possible answers; sol: � 5, 0 � � 7, �5 � ; not sol: � 0, 0 � � �5, 1 �

14. { x � 2y

y � 200

2x � 2y � 600


CHAPTER Chapter Test Form A - · PDF filed 2s 20 Chapter Test Form A continued...

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Transcript of CHAPTER Chapter Test Form A - · PDF filed 2s 20 Chapter Test Form A continued...