Name

Class

Date

Extra Practice

Chapter 3

Lesson 3-1

Solve each system by graphing.

1. e

y 5 2x 1 1

y 5 4x 2 5

y

2. e

x1y52

y 5 2x 2 1

3. e

y 5 22x 1 4

y 5 22x 1 3

y

(3, 7)

2

6

(– 1 , 3 2 )

33

(1, 1)

5

y

x

4

O

2

2

1

-2

O

–3

x

1

x

2

4. e

4

3x 2 4y 5 13

2x 1 2y 5 15

6

5. e

2x 5 y 2 7

4x 2 2y 5 14

6. e

y

y

8

6

2

2

-2

4x

(3, -1)

-6

O

y

(8, 6)

4

x

O

x58

x2y52

6

O

-6

4

x

10

Without graphing, determine whether each system is independent, dependent, or inconsistent.

7. e

2x 1 3y 5 28

6x 1 9y 5 24

dependent

8. e

x 1 3y 5 7

y 5 23x 1 7

9. e

independent

3x 2 4y 5 12

y 5 3x 2 4

4

inconsistent

10. Carla has $2.40 in nickels and dimes. Deron has $5.50 in dimes and quarters.

Deron has as many dimes as Carla has nickels and as many quarters as Carla has dimes. How many of each kind of coin does Carla have? 20 nickels, 14 dimes

11. Mr. Chandra bought 2 lbs of cheddar cheese and 3 lbs of chicken loaf. He paid

$26.35. Mrs. Hsing paid $18.35 for 1.5 lbs of cheese and 2 lbs of chicken loaf. What was the price per pound of each item? $4.70 per lb of cheese, $5.65 per lb of chicken loaf

Prentice Hall Algebra 2 • Extra Practice

Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

9

Name

Class

Date

Extra Practice (continued)

Chapter 3

Lesson 3-2

Solve each system of equations.

12. e

x 1 y 5 25

x 2 y 5 23 (1, 4)

13. e

y 5 3x 2 1

2x 1 y 5 14 (3, 8)

14. e

3x 1 2y 5 12

2x 1 2y 5 23 (6, 23)

15. e

x 2 4y 5 16

x 1 2y 5 14 (8, 22)

16. e

y 5 2x 1 5

y 5 4 2 x Q 2 1 , 13 R

33

17. e

y 5 5x 2 1

(3, 14)

y 5 14

18. A kayaker can paddle 12 mi in 2 h moving with the river current. Paddling at

the same pace, the trip back against the current takes 4 h. Assume that the river current is constant. Find what the kayaker’s speed would be in still water. 4.5 mi/h 19. Mrs. Mitchell put a total of $10,000 into two accounts. One account earns 6%

simple annual interest. The other account earns 6.5% simple interest. After 1 year, the two accounts earned $632.50 interest. Find how much money was invested in each account. $3500 at 6%, $6500 at 6.5%

Lesson 3-3

Solve each system of inequalities by graphing.

20. e

y$x23

y # 3x 1 7

21. e

3x 1 4y . 8

y , 5x

O

4

y

4

x

-6

2x 2 2y $ 25

y,3

y

y

6

22. e

2

x

6

-4

-6

O

-2

-4

O

x

2

-12

23. e

y#2

y . u x 2 2u

24. e

y . 20.5x 1 2

y $ u 2x u

y

25. e

y . 2x 2 4

y , 2u x 1 2 u

y

1

1

O

-5

x

2

4

-2

O

2

x

Prentice Hall Algebra 2 • Extra Practice

Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

10

O

y

x

-1

Name

Class

Date

Extra Practice (continued)

Chapter 3

4x 1 3y $ 11

4x 1 3y # 15

µ

x$0

y$0

26. Leyla wants to buy fish, chicken, or some of each for

weekend meals. The fish costs $4 per pound and the

chicken costs $3 per pound. She will spend at

least $11 but no more than $15.

y

a. Write a system of inequalities to model the situation.