AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Rational Equations

Rational Equations Answers

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1
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Consider the graph showing two functions. Which answer can be used to find the solution to the system of equations?

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
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Option D
2
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What is the solution to the equation ?

Question illustration
A
m = 3
B
m = 6
C
all real numbers
D
no solution
3

A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked· $20 per hour workedThe graph shows the relationship between pay per hour and number of hours worked for both scenarios. What is the solution to this system of equations, and what does it mean to the contractor?

Question illustration
A
The solution (0, 20) tells the contractor the minimum amount that can be charged.
B
The solution (0, 500) tells the contractor the maximum amount that can be charged.
C
The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
D
The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
4

What is the solution to the equation ?

Question illustration
A
h = eleven-thirds
Option A
B
h = 5
Option B
C
h = 7
Option C
D
h = twenty-one-halves
Option D
5

Janet wants to solve the equation . What should she multiply both sides of the equation by?

Question illustration
A
y
B
y2 – 1
C
y + 1
D
y2 + y + 2
6

Working alone, it would take Shandra 40 minutes to sand a table. To sand the same table, also working alone, it would take Kelly 1 hour. If they work together, the situation can be modeled by the following equation, where t is the time it would take to sand the table working together.Shandra claims it will take them about 50 minutes working together, because 50 is the mean of 40 and 60. Which best describes Shandra’s claim?

Question illustration
A
Shandra’s claim is correct.
B
Shandra’s estimate is too high because she should have found the differences instead of the mean.
C
Shandra’s estimate is too high because it will take them about 24 minutes.
D
Shandra’s estimate is too low because it will take them about 100 minutes.
7

What is true about the solution of ?

Question illustration
A
, and they are actual solutions.
Option A
B
, but they are extraneous solutions.
Option B
C
x = 3, and it is an actual solution.
D
x = - 3, but it is an extraneous solution.
8

Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes 2 hours longer than Juan, who picks up litter for 2 miles. If Juan spent x hours picking up litter, the following equation models the situation.How long did Yumi spend picking up litter?

Question illustration
A
1 hour 20 minutes
B
3 hours 20 minutes
C
4 hours
D
6 hours
9

What is the solution for the equation ?

Question illustration
A
b = –4 and b = 0
B
b = –4
C
b = 0 and b = 4
D
b = 4
10

Which solution to the equation is extraneous?

Question illustration
A
x = 1 and x = –4
B
neither x = 1 or x = –4
C
x = 1
D
x = –4

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