Caesar Salad and Prentice Hall Algebra
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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
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