Download 3-1 Skills Practice

NAME
DATE
3-1
PERIOD
Skills Practice
Solving Systems of Equations
Graph each system of equations and describe it as consistent and independent,
consistent and dependent, or inconsistent.
4
2. y = x - 5
-2x + 2y = -10
y
y
O
2
-4
-2
O
3. 2x - 5y = 10
3x + y = 15
14
2
4
6
-2
2
4x
inconsistent
2
-6
-4
10
6
-4
-2
x
y
-2 O
-2
consistent and
dependent
(5, 0)10
2
x
consistent and
independent
Solve each system of equations.
4. -r + t = 5
-2r + t = 4
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
(1, 6)
7. 2p - 3r = 6
-2p + 3r = -6
infinitely many
10. 2u + 4x = -6
u + 2x = 3
no solution
13. 3y - z = -6
-3y - z = 6
(-2, 0)
5. 2x - y = -5
4x + y = 2
(- −12 , 4)
6. x - 3y = -12
2x + y = 11
(3, 5)
8. 6w - 8z = 16
3w - 4z = 8
infinitely many
11. 3a + b = -1
-3a + b = 5
(-1, 2)
9. c + d = 6
c-d=0
(3, 3)
12. 2x + y = 6
3x - 2y = 16
(4, -2)
14. c + 2d = -2
-2c - 5d = 3
15. 3r - 2t = 1
2r - 3t = 9
(-3, -5)
(-4, 1)
16. The sum of two numbers is 12. The difference of the same two numbers is -4.
Find the numbers. 4, 8
17. Twice a number minus a second number is -1. Twice the second number added
to three times the first number is 9. Find the two numbers. 1, 3
Chapter 3
7
Glencoe Algebra 2
Lesson 3-1
1. y = -3x
y = -3x + 2