AnswersFL-1200340-Algebra 2 HonorsSolving Linear Systems Graphically

Solving Linear Systems Graphically — Unit test Answers

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An aircraft travels with the wind for 120 miles in 0.75 of an hour. The return trip is flown against the wind and takes exactly 1 hour.Which system of linear equations represents x, the speed of the plane in miles per hour, and y, the speed of the wind in miles per hour? Recall the formula d = rt.

A
0.75(x + y) = 120 x − y = 120
B
0.75(x − y)= 120 x + y = 120
C
120(x + y) = 0.75 120(x − y) = 1
D
120(x − y) = 0.75 120(x + y) = 1
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At his new job, Jeremiah can choose an hourly rate of $9 plus a $50 weekly bonus for opening the store, or an hourly rate of $10 per hour with no opening bonus. The equations model his salary options.y = 9x + 50y = 10x What does x represent?

A
the number of times he opened the store
B
the number of hours worked per week
C
the total amount he earns each week
D
the amount of money earned per day
23

The solution to the given system of linear equations lies in which quadrant?

Question illustration
A
I
B
II
C
III
D
IV
24

Addison earns a fixed hourly rate working as a sales clerk. If she works on a holiday, she earns a different hourly rate than she earns on a regular day. In one week, she earns $188.50 by working 5 hours on a holiday and 16 hours during regular days. A different week, she earns $254.00 by working 8 hours on a holiday and 20 hours during regular days.How much more is Addison’s holiday hourly rate than her regular hourly rate?

A
$2.00
B
$8.50
C
$10.50
D
$19.00
25

Which equation can pair with 3x + 4y = 8 to create a consistent and independent system?

A
6x + 8y = 16
B
–3x – 4y = –6
C
6x – 3y = 2
D
–3x – 4y = –8

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