Compute the Money Earned by Selling Fruit Pies Algebra Worksheet

Math | Graded Assignment | Semester A Test, Part 2Name:
Date:
Graded Assignment
Semester A Test, Part 2
Answer the questions below. When you are finished, submit this test to your teacher for full credit.
Total score: ____ of 30 points
(Score for Question 1: ___ of 9 points)
4 x − 6 = −20
1. Adelle solved the equation 7
as shown.
Fill in the correct justification for each step.
Answer:
Step
Justification
4 x − 6 = −20
7
Given
4 x = −14
7
___________________________________
4 x = −98
___________________________________
x = −24.5
___________________________________
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Copying or distributing without K12’s written consent is prohibited.
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Page 1 of 3
Math | Graded Assignment | Semester A Test, Part 2
(Score for Question 2: ___ of 10 points)
2. Graph
4x + y = 6x − 1 .
Show your work and explain the method used to determine the graph.
Answer:
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Copying or distributing without K12’s written consent is prohibited.
Page 2 of 3
Math | Graded Assignment | Semester A Test, Part 2
(Score for Question 3: ___ of 11 points)
t
3. Dr. Silas studies a culture of bacteria under a microscope. The function
number of bacteria t hours after Dr. Silas begins her study.
b1 (t ) = 1200 (1.8 )
represents the
(a) What does the value 1200 represent in this situation?
(b) What does the value 1.8 represent in this situation?
t
(c) The number of bacteria in a second study is modeled by the function
b2 (t ) = 1000 (1.8 )
.
What does the value of 1000 represent in this situation?
What does the difference of 1200 and 1000 mean between the two studies?
Answer:
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Copying or distributing without K12’s written consent is prohibited.
Page 3 of 3
Math | Graded Assignment | Semester A Test, Part 2
Name:
Date:
Graded Assignment
Semester A Test, Part 2
Answer the questions below. When you are finished, submit this test to your teacher for full credit.
Total score: ____ of 30 points
(Score for Question 1: ___ of 9 points)
4 x − 6 = −20
1. Adelle solved the equation 7
as shown.
Fill in the correct justification for each step.
Answer:
Step
Justification
4 x − 6 = −20
7
Given
4 x = −14
7
___________________________________
4 x = −98
___________________________________
x = −24.5
___________________________________
© 2016 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
blank
blank
blank
Page 1 of 3
Math | Graded Assignment | Semester A Test, Part 2
(Score for Question 2: ___ of 10 points)
2. Graph
4x + y = 6x − 1 .
Show your work and explain the method used to determine the graph.
Answer:
© 2016 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
Page 2 of 3
Math | Graded Assignment | Semester A Test, Part 2
(Score for Question 3: ___ of 11 points)
t
3. Dr. Silas studies a culture of bacteria under a microscope. The function
number of bacteria t hours after Dr. Silas begins her study.
b1 (t ) = 1200 (1.8 )
represents the
(a) What does the value 1200 represent in this situation?
(b) What does the value 1.8 represent in this situation?
t
(c) The number of bacteria in a second study is modeled by the function
b2 (t ) = 1000 (1.8 )
.
What does the value of 1000 represent in this situation?
What does the difference of 1200 and 1000 mean between the two studies?
Answer:
© 2016 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
Page 3 of 3
Math | Graded Assignment | Semester A Test, Part 2
Name:
Date:
Graded Assignment
Semester A Test, Part 2
Answer the questions below. When you are finished, submit this test to your teacher for full credit.
Total score: ____ of 30 points
(Score for Question 1: ___ of 9 points)
4 x − 6 = −20
1. Adelle solved the equation 7
as shown.
Fill in the correct justification for each step.
Answer:
Step
Justification
4 x − 6 = −20
7
Given
4 x = −14
7
___________________________________
4 x = −98
___________________________________
x = −24.5
___________________________________
© 2016 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
blank
blank
blank
Page 1 of 3
Math | Graded Assignment | Semester A Test, Part 2
(Score for Question 2: ___ of 10 points)
2. Graph
4x + y = 6x − 1 .
Show your work and explain the method used to determine the graph.
Answer:
© 2016 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
Page 2 of 3
Math | Graded Assignment | Semester A Test, Part 2
(Score for Question 3: ___ of 11 points)
t
3. Dr. Silas studies a culture of bacteria under a microscope. The function
number of bacteria t hours after Dr. Silas begins her study.
b1 (t ) = 1200 (1.8 )
represents the
(a) What does the value 1200 represent in this situation?
(b) What does the value 1.8 represent in this situation?
t
(c) The number of bacteria in a second study is modeled by the function
b2 (t ) = 1000 (1.8 )
.
What does the value of 1000 represent in this situation?
What does the difference of 1200 and 1000 mean between the two studies?
Answer:
© 2016 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
Page 3 of 3
Math | Graded Assignment | Unit Test, Part 2 | Sequences and Modeling with Functions
Name:
Date:
Graded Assignment
Unit Test, Part 2: Sequences and Modeling with Functions
Answer the questions below. When you are finished, submit this test to your teacher for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 6 points)
1. In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a
row continues to increase by 6 with each additional row.
(a) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your
work.
(b) Use the rule to determine which row has 100 seats. Show your work.
Answer:
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Copying or distributing without K12’s written consent is prohibited.
Page 1 of 3
Math | Graded Assignment | Unit Test, Part 2 | Sequences and Modeling with Functions
(Score for Question 2: ___ of 5 points)
2. Rhonda started a business. Her business made $30,000 in profits the first year. Her annual profits have
increased by an average of 5% each year since then.
(a) Write an iterative rule to model the sequence formed by the profits of Rhonda’s business each year.
(b) Use the rule to determine what the annual profits of Rhonda’s business can be predicted to be 15
years from the start of her business. Round your answer to the nearest dollar. Do not round until the
end. Show your work.
Answer:
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Copying or distributing without K12’s written consent is prohibited.
Page 2 of 3
Math | Graded Assignment | Unit Test, Part 2 | Sequences and Modeling with Functions
(Score for Question 3: ___ of 4 points)
3. The sequence 6, 18, 54, 162, … shows the number of pushups Kendall did each week, starting with her first
week of exercising.
(a) What is the recursive rule for the sequence?
(b) What is the iterative rule for the sequence?
Answer:
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Copying or distributing without K12’s written consent is prohibited.
Page 3 of 3
Math | Graded Assignment | Unit Test, Part 2 | Systems of Equations
Name:
Date:
Graded Assignment
Unit Test, Part 2: Systems of Equations
Answer the questions below. When you are finished, submit this test to your teacher for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 5 points)
1. What is the solution to the system of equations?
3 x − 6 y = −12
x − 2y = −8
(a) Use the substitution method to justify that the given system of equations has no solution.
(b) What do you know about the two lines in this system of equations?
Answer:
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Page 1 of 3
Math | Graded Assignment | Unit Test, Part 2 | Systems of Equations
(Score for Question 2: ___ of 5 points)
2. Use the linear combination method to solve the system of equations. Explain each step of your solution.
2 x − 3 y = 13
x + 2y = −4
Answer:
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Copying or distributing without K12’s written consent is prohibited.
Page 2 of 3
Math | Graded Assignment | Unit Test, Part 2 | Systems of Equations
(Score for Question 3: ___ of 5 points)
3. Mr. Sanchez’s class sold fruit pies for $1.65 each and Mr. Kelly’s class sold bottles of fruit juice for $1.36
each. Together, the classes sold 79 items and earned $118.17 for their school.
(a) Write and solve a system of equations that model the problem. Show all your work.
(b) Which class earned more money?
(c) How much more money did that class earn?
Answer:
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Copying or distributing without K12’s written consent is prohibited.
Page 3 of 3