Algebra 2 3-4 Guided Practice: Linear Programming

Last updated over 3 years ago

13 questions

3

Library

Algebra 2 3-4 Guided Practice: Linear Programming

Last updated over 3 years ago

13 questions

3

Solve It! You want to spend no more than $40 for at most 15 tomato plants. You want to maximize the pounds of tomatoes you'll get.

Graph It! The variables are the number of Roma (x) and cherry tomato plants (y) you buy. Graph both of the inequalities on the same plane at desmos.com/calculator.
2x+3y\le40
x+y\le15
You will use your graph in the next item.

5

A.CED.3

N.Q.1

3

10

Take Note: Define linear programming.

10

A.CED.3

3

10

Take Note: Summarize the process of using linear programming to maximize profit using an objective function.

10

Problem 2 Got It?

A.CED.3

A.REI.12

10

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! You want to spend no more than $40 for at most 15 tomato plants. You want to maximize the pounds of tomatoes you'll get.

Graph It! The variables are the number of Roma (x) and cherry tomato plants (y) you buy. Graph both of the inequalities on the same plane at desmos.com/calculator.
2x+3y\le40
x+y\le15
You will use your graph in the next item.

5

Use your Desmos graph to identify the combination of tomatoes that maximize the number of pounds that you can buy.

2 cherry
10 cherry
10 roma
5 roma

To maximize pounds

A.CED.3

N.Q.1

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: Define linear programming.

10

Take Note: Define constraints as they pertain to linear programming.

10

Take Note: Define feasible region as it pertains to linear programming.

10

Take Note: Define objective function as it pertains to linear programming.

10

Take Note: Summarize the Vertex Principle of Linear Programming.

10

Problem 1 Got It? Use the constraints from Problem 1 with the objective function
P = x + 3y.
What values of x and y maximize P?

A.CED.3

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: Summarize the process of using linear programming to maximize profit using an objective function.

10

Problem 2 Got It?

A.CED.3

A.REI.12

10

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

Use your Desmos graph to identify the combination of tomatoes that maximize the number of pounds that you can buy.

2 cherry
10 cherry
10 roma
5 roma

To maximize pounds

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

Take Note: Define constraints as they pertain to linear programming. 

Take Note: Define feasible region as it pertains to linear programming.

Take Note: Define objective function as it pertains to linear programming.

Take Note: Summarize the Vertex Principle of Linear Programming.

Problem 1 Got It? Use the constraints from Problem 1 with the objective function
 P = x + 3y. 
What values of x and y maximize P?

(3, 1)

(0, 2.5)

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

A

B

C

D

Algebra 2 3-4 Guided Practice: Linear Programming

Algebra 2 3-4 Guided Practice: Linear Programming

Take Note: Define linear programming.

Take Note: Summarize the process of using linear programming to maximize profit using an objective function.

Problem 2 Got It?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Use your Desmos graph to identify the combination of tomatoes that maximize the number of pounds that you can buy.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define linear programming.

Take Note: Define constraints as they pertain to linear programming.

Take Note: Define feasible region as it pertains to linear programming.

Take Note: Define objective function as it pertains to linear programming.

Take Note: Summarize the Vertex Principle of Linear Programming.

Problem 1 Got It? Use the constraints from Problem 1 with the objective function P = x + 3y. What values of x and y maximize P?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Summarize the process of using linear programming to maximize profit using an objective function.

Problem 2 Got It?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Use your Desmos graph to identify the combination of tomatoes that maximize the number of pounds that you can buy.

Take Note: Define feasible region as it pertains to linear programming.

Take Note: Define objective function as it pertains to linear programming.

Take Note: Summarize the Vertex Principle of Linear Programming.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Problem 1 Got It? Use the constraints from Problem 1 with the objective function
P = x + 3y.
What values of x and y maximize P?

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?