 # MAC 1105 Exam 4 - Home-Based Assignment 2

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Determine whether the given ordered pair is a solution ofthe system.
1) (5,-3)
4x+y=17
3x+4y=3
2) (5,-1)
x+y=-6
x-y=-4
Solve the system of equationa by the substitution method.
3)
3y=x+54
2x+6y=0
4)
y=3x+6
y=5x+7
Solve the system by the addition method.
5)
-2x+7y=-22
5x+4y=12
6)
x-6y=-46
-3x-7y=-62
7)
5x-6y=-28
2x+4y=40
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
8) A vendor sells hot dogs and bags of potato chips. A customer buys 5 hot dogs and 5 bags of potato chips for \$15.00. Another customer buys 2 hot dogs and 4 bags of potato chips for \$8.50. Find the cost of each item.
A) \$2.00 for a hot dog; \$1.50 for a bag of potato chips
B) \$1.25 for a hot dog; \$1.75 for a bag of potato chips
C) \$1.75 for a hot dog; \$1.25 for a bag of potato chips
D) \$1.75 for a hot dog; \$1.50 for a bag of potato chips
9) Steve invests in a circus production. The cost includes an overhead of \$84,000, plus production costs of \$2000 per performance. A sold-out performance brings in \$8000. Determine the number of sold-out performances, x, needed to break even.
A) 16 performances
B) 15 performances
C) 14 performances
D) 7 performances
SHORT ANSWERS. Write the word or phrase that best completes each statement or answers the question.
Determine if the given ordered triple is a solution of the system.
10) (-1,-5,-3)
4x+2y+z=-23
2x-2y-z=5
3x+y+4z=-18
11) (4,-2,3)
2x+4y+z=3
5x-4y-z=25
5x+y+3z=27
12) (-3,3,0)
x-y+3z=-12
4x+z=-3
x+4y+z=9
Solve the system of equations.
13)
x+y+z=0
x-y+4z=17
2x+y+z=-4
Evaluate the determinant
14)
|2 -1|
|3 3|
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
15)
|1/12 1/10|
|-2/5 7/11|
A) 43/3300 B) 307/3300 C) 3/2200 D) -16/165
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Use Cramer's rule to solve the system.
16)
3x+2y=2
6x+5y=1
17)
3x=39-3y
5y=41-2x
Use Cramer's rule to determine if the system is inconsistent system or contains dependent equations.
18)
7x+y=37
7x+y=72
19)
3x+y=8
12x+4y=32
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Evaluate the determinant.
20)
|1 2 4|
|2 5 5|
|1 2 4|
A) 92 B) 1 C) -20 D) 0

There are 20 system of linear equstions problems. This solutions contains correct answers only, no step-by-step work is shown.
Completed in April 2014.

Subjects: Mathematics -> Algebra
Topic: MAC 1105 Exam #4 (Blitzer) Chapter 5&6 Miami Dade College Home-Based Assignment #2
Level: College
Tags:

### mac1105, Exam #4, Dade College, Assignment #2, System of linear equations

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Project Details
Subjects: Mathematics -> Algebra
Topic: MAC 1105 Exam #4 (Blitzer) Chapter 5&6 Miami Dade College Home-Based Assignment #2
Level: College
Tags:

## mac1105, Exam #4, Dade College, Assignment #2, System of linear equations

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