Download Math 0308.12102 Test 4.jnt

Name: ______________________________
Instructor Ben Gregersen
July 12, 2010
Math 0308.12102 Test 4
Part I: For each equation, determine whether the given ordered pair is a solution. Show all work. (2 points each)
4x + y = 9; (3, -3)
6x – 13y – 8 = 0; (3, 9)
y = -4; (1, -4)
[Yes] [No]
[Yes] [No]
[Yes] [No]
Part II: Find solutions for each equation using the indicated values for x or y. Show all work. (8 points each)
4x – 5y = 10
3
5 + = 4
2
(5, _____), (0, _____), (_____, 0), (_____, -6)
7
8
, ______ , (2, _____), (_____, 6), _____, 4
3
Name: ______________________________
Instructor Ben Gregersen
July 12, 2010
Part III: For each equation, solve for y and complete the table. (6 points each)
4x + 2y = 8
2x – 3y = 6
4y – 6 = 0
x
y
x
y
x
-1
-3
-10
0
0
-2
1
2
3
2
7
12
Part IV: Identify the coordinates of each point on the graph. (1 point each)
A
4
B
B
E
2
D
C
D
A
C
-5
5
G
E
F
-2
G
-4
H
F
H
y
Name: ______________________________
Instructor Ben Gregersen
July 12, 2010
Part V: Plot and label each point on the graph provided. (1 point each)
A
(4, 2)
B
(5, 0)
C
(-2, 3.5)
D
(3¾, -2½)
E
(0, 3)
F
(-2.25, 0)
G
The Origin
H
(0, -1)
4
2
-5
5
-2
-4
Part VI: Plot each line on the graph provided. (3 points each)
y = -½x + 1
3x – 8y = -24
-10
8
8
6
6
4
4
2
2
-5
5
10
-10
-5
5
-2
-2
-4
-4
-6
-6
-8
-8
10
Name: ______________________________
Instructor Ben Gregersen
July 12, 2010
Part VII: Use the Graphing Method to find the solution to each system of equations. Circle your final
answer. (4 points each)
= 2 5
=6
= 5
= + 7
8
-10
8
6
6
4
4
2
2
-5
5
10
-10
-5
5
-2
-2
-4
-4
-6
-6
-8
-8
Part VIII: Use the Substitution Method to find the solution to each system of equations. Show all work.
Circle your final answer. (4 points each)
2 + 3 = 10
= 2 + 3
= 4
!
2 3 = 12
10
Name: ______________________________
Instructor Ben Gregersen
July 12, 2010
Part IX: Use the Elimination Method to find the solution to each system of equations. Show all work.
Circle your final answer. (4 points each)
2 8 = 15
9 + 8 = 6
10 2 = 14
15 3 = 21