Download y = 2x +1 y = x − 5 2x − y = 4 2x + 5y = 20 A. (2.6, 3.3) B. (4, 20) 3x

Unit 5: Systems of Equations
Section 5.1: Solving Systems Graphically
Section Quiz (A)
In order to take this quiz, you must show evidence that you have read the section (notes,
highlighting) and have completed 10 exercises.
To pass this section and move on to the next you must score a 4 or 5 on this quiz. If you do
not, you will need to do 10 more exercises from the section work before you can retake it.
For questions 1 and 2, find the point(s) of intersection for the system if it exists.
1.
y = 2x + 1
y= x−5
A. ( 11, – 6 )
2.
B. ( – 6, 11 )
C. ( 6, 1 )
B.
C.
D. Infinite Solutions E. No solution
2x − y = 4
2x + 5y = 20
A.
(2.6, 3.3)
(4, 20)
(3.3, 2.6) D. Infinite Solutions E. No solution
For questions 3 and 4, determine whether the system is A) consistent and dependent, B)
consistent and independent, or C) inconsistent.
3.
3x − 4y = 7
12y = 9x − 21
A. Consistent and dependent
B. Consistent and independent
C. Inconsistent
D. Cannot tell
4.
2x − y = 1
2y − 4x = 6
A. Consistent and dependent
B. Consistent and independent
C. Inconsistent
D. Cannot tell
Question 5 is an application problem. Solve for the given information.
5. The sum of two numbers is 16. The larger number is 4 more than twice the smaller number.
What are the two numbers?
A. 8 and 8
B. 7 and 9
C. 6 and 10 D. 4 and 12 E. 2 and 14
1|PAGE
Advanced Topics
Unit 5: Systems of Equations
Section 5.1: Solving Systems Graphically
Section Quiz (B)
In order to take this quiz, you must show evidence that you have read the section (notes,
highlighting) and have completed 10 exercises.
To pass this section and move on to the next you must score a 4 or 5 on this quiz. If you do
not, you will need to do 10 more exercises from the section work before you can retake it.
For questions 1 and 2, find the point(s) of intersection for the system if it exists.
1.
y = x +1
y= x−5
A. ( 1, – 5)
2.
x+y=3
3x − y = 13
A. (3, − 1)
B. ( – 5, 1 )
B.
(4, − 1)
C. ( 1, 1 )
D. Infinite Solutions E. No solution
C.
D. Infinite Solutions E. No solution
(−1, 3)
For questions 3 and 4, determine whether the system is A) consistent and dependent, B)
consistent and independent, or C) inconsistent.
3.
x + 2y = 5
7y = 3x − 6
A. Consistent and dependent
B. Consistent and independent
C. Inconsistent
D. Cannot tell
4.
x − 3y = 2
4x = 8 + 12y
A. Consistent and dependent
B. Consistent and independent
C. Inconsistent
D. Cannot tell
Question 5 is an application problem. Solve for the given information.
5. The perimeter of a rectangle is 38 meters. Its length is 1 meter more than its width. What is
the rectangles length and width?
A. 19.5 and 18.5 B. 20 and 19 C. 10 and 9 D. 9 and 8
E. 11 and 10
2|PAGE
Advanced Topics
Unit 5: Systems of Equations
Section 5.1: Solving Systems Graphically
Section Quiz (C)
In order to take this quiz, you must show evidence that you have read the section (notes,
highlighting) and have completed 10 exercises.
To pass this section and move on to the next you must score a 4 or 5 on this quiz. If you do
not, you will need to do 10 more exercises from the section work before you can retake it.
For questions 1 and 2, find the point(s) of intersection for the system if it exists.
1.
y = 5x + 2
y = 3x − 2
A. ( –2, – 8 )
2.
3x + 2y = 1
12x − 4 = −8y
A. (3, 2)
B. ( 2, – 8 )
B.
(1, − 8)
C. ( 2, – 2 )
D. Infinite Solutions E. No solution
(1, − 4)
D. Infinite Solutions E. No solution
C.
For questions 3 and 4, determine whether the system is A) consistent and dependent, B)
consistent and independent, or C) inconsistent.
3.
2x + y = 7
3y = x − 3
A. Consistent and dependent
B. Consistent and independent
C. Inconsistent
D. Cannot tell
4.
3x − 2y = 5
4y = 6x + 1
A. Consistent and dependent
B. Consistent and independent
C. Inconsistent
D. Cannot tell
Question 5 is an application problem. Solve for the given information.
5. A job has two pay structures. 1), you can have a base salary of $40,000 a year and 5%
commission on your yearly sales, or 2), you can have a base salary of $25,000 a year and
12% commission on your yearly sales. How much would your yearly sales need to be
greater than for the second option to be a better choice?
A. $500,000
B. $214,286.58
C. $152,321.02
D. $68,421.31
E. $25,000
3|PAGE
Advanced Topics
Unit 5: Systems of Equations
Section 5.1: Solving Systems Graphically
Section Quiz
Answer Keys
Quiz A
1. B
2. C
3. A
4. C
5. D
Quiz B
1. E
2. B
3. B
4. A
5. C
Quiz C
1. A
2. D
3. B
4. C
5. B
4|PAGE
Advanced Topics