AnswersAlgebra III ASolving Systems of Linear Equations: Graphing

Solving Systems of Linear Equations: Graphing — Unit test Answers

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What is the solution to this system of linear equations?x − 3y = −2x + 3y = 16

A
(7, 3)
B
(3, 7)
C
(−2, −3)
D
(−3, −2)
2
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What is the x-value in the solution to this system of linear equations?2x − y = 11x + 3y = −5

A
−3
B
−1
C
2
D
4
3

What is the solution to this system of linear equations?y − 4x = 72y + 4x = 2

A
(3, 1)
B
(1, 3)
C
(3, −1)
D
(−1, 3)
4

What is the solution to this system of linear equations?y − x = 6y + x = −10

A
(−2, −8)
B
(−8, −2)
C
(6, −10)
D
(−10, 6)
5

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. x+ y= 243.50x + 5.00y = 97.50Solve the system of equations. How many 10 oz. boxes were sold?

A
6
B
9
C
12
D
15
6

Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of $24.00. Last week they ordered one strawberry smoothie and four protein shakes for a total of $25.50. The system that represents their purchases is below.x + 4y = 25.503x + 2y = 24.00What is the price of a protein shake?

A
$3.75
B
$4.50
C
$4.95
D
$5.25
7

Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic titles. Let x represent the number of contemporary titles and y represent the number of classic titles. The system of equations models the given information for both types of DVDs.x + y = 3,500x – y = 2,342Solve the system of equations. How many contemporary titles does Jarred have?

A
1,158
B
1,737
C
2,342
D
2,921
8

What is the solution to this system of linear equations?2x + 3y = 37x – 3y = 24

A
(2, 7)
B
(3, –21)
C
(3, –1)
D
(9, 0)
9

What is the solution (q, r) to this system of linear equations?12q + 3r = 15–4q – 4r = –44

A
(–18, 29)
B
(–2, 13)
C
(8, –1)
D
(15, –44)
10

What is the solution to this system of linear equations?2x + y = 13x – y = –6

A
(–1, 3)
B
(1, –1)
C
(2, 3)
D
(5, 0)

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