Algebra 2 3-1 Guided Practice: Solving Systems Using Tables and Graphs

Last updated over 3 years ago

18 questions

3

10

A.CED.3

A.REI.11

A.REI.6

10

A.CED.3

A.REI.6

3

10

Library

Algebra 2 3-1 Guided Practice: Solving Systems Using Tables and Graphs

Last updated over 3 years ago

18 questions

3

Solve It! There are 25 bikes and trikes at the park. The bikes and trikes have 60 wheels in all. In the graph, the red dots show sums of 25. The blue dots show 60-wheel combinations.

10

A.CED.2

A.REI.11

A.REI.6

3

10

Take Note: Define system of equations.

10

Take Note: Define linear system.

10

A.REI.11

A.REI.6

3

10

Problem 2 Got It? If the growth rates continue, how long will each shark be when it is 25 years old?
HINT: Use the related equations and substitution or graphing. You may use Desmos or either of the Desmos calculators embedded below.

47.95 cm
55.75 cm
59.5 cm
62.25 cm

Greenland shark length
Spiny Dogfish shark length

A.CED.3

A.REI.11

A.REI.6

10

Problem 2 Got It? Reasoning: Explain why growth rates for these sharks may not continue indefinitely.

A.CED.3

A.REI.6

3

10

A.CED.2

A.CED.3

…

3

10

intersecting lines

10

Problem 4 Got It? HINT: Consider the slope and y-intercept of each line.

A.REI.11

A.REI.6

10

Problem 4 Got It? HINT: Consider the slope and y-intercept of each line.

A.REI.11

A.REI.6

10

Problem 4 Got It? HINT: Consider the slope and y-intercept of each line.

A.REI.11

A.REI.6

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! There are 25 bikes and trikes at the park. The bikes and trikes have 60 wheels in all. In the graph, the red dots show sums of 25. The blue dots show 60-wheel combinations.

10

How many bikes and trikes are in the park?

10
15
20
25
60

Bikes

A.CED.2

A.REI.11

A.REI.6

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

10

Take Note: Define system of equations.

10

Take Note: Define linear system.

10

Take Note: Define solution of a system.

10

Problem 1 Got It?
You may use Desmos.

A.REI.11

A.REI.6

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

Problem 2 Got It? If the growth rates continue, how long will each shark be when it is 25 years old?
HINT: Use the related equations and substitution or graphing. You may use Desmos or either of the Desmos calculators embedded below.

47.95 cm
55.75 cm
59.5 cm
62.25 cm

Greenland shark length
Spiny Dogfish shark length

Problem 2 Got It? Reasoning: Explain why growth rates for these sharks may not continue indefinitely.

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

10

Problem 3 Got It?
You may use Desmos.

A.CED.2

A.CED.3

…

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

Take Note: The graphs of three different types of linear systems are shown on the right. Match each item on the left with the graph(s) it describes. Some items may be used more than once.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

intersecting lines
infinitely many solutions
independent
parallel lines
consistent
no solution
one solution
dependent
coinciding lines
inconsistent

10

Problem 4 Got It? HINT: Consider the slope and y-intercept of each line.

A.REI.11

A.REI.6

10

Problem 4 Got It? HINT: Consider the slope and y-intercept of each line.

A.REI.11

A.REI.6

10

Problem 4 Got It? HINT: Consider the slope and y-intercept of each line.

A.REI.11

A.REI.6

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.

How many bikes and trikes are in the park?

10
15
20
25
60

Bikes
Trikes

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 solution of a system.

Problem 1 Got It? 
You may use Desmos.

B

C

D

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.

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.

Problem 3 Got It? 
You may use Desmos.

B

C

D

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: The graphs of three different types of linear systems are shown on the right. Match each item on the left with the graph(s) it describes. Some items may be used more than once.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it. 

infinitely many solutions

independent

parallel lines

consistent

no solution

one solution

dependent

coinciding lines

inconsistent

C

C

C

Trikes

Algebra 2 3-1 Guided Practice: Solving Systems Using Tables and Graphs

Algebra 2 3-1 Guided Practice: Solving Systems Using Tables and Graphs

Take Note: Define system of equations.

Take Note: Define linear system.

Problem 2 Got It? If the growth rates continue, how long will each shark be when it is 25 years old? HINT: Use the related equations and substitution or graphing. You may use Desmos or either of the Desmos calculators embedded below.

Problem 2 Got It? Reasoning: Explain why growth rates for these sharks may not continue indefinitely.

Problem 4 Got It? HINT: Consider the slope and y-intercept of each line.

Problem 4 Got It? HINT: Consider the slope and y-intercept of each line.

Problem 4 Got It? HINT: Consider the slope and y-intercept of each line.

🧠 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.

How many bikes and trikes are in the park?

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

Take Note: Define system of equations.

Take Note: Define linear system.

Take Note: Define solution of a system.

Problem 1 Got It? You may use Desmos.

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

Problem 2 Got It? If the growth rates continue, how long will each shark be when it is 25 years old? HINT: Use the related equations and substitution or graphing. You may use Desmos or either of the Desmos calculators embedded below.

Problem 2 Got It? Reasoning: Explain why growth rates for these sharks may not continue indefinitely.

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

Problem 3 Got It? You may use Desmos.

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

Problem 4 Got It? HINT: Consider the slope and y-intercept of each line.

Problem 4 Got It? HINT: Consider the slope and y-intercept of each line.

Problem 4 Got It? HINT: Consider the slope and y-intercept of each line.

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

How many bikes and trikes are in the park?

Problem 2 Got It? If the growth rates continue, how long will each shark be when it is 25 years old?
HINT: Use the related equations and substitution or graphing. You may use Desmos or either of the Desmos calculators embedded below.

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

Problem 1 Got It?
You may use Desmos.

Problem 2 Got It? If the growth rates continue, how long will each shark be when it is 25 years old?
HINT: Use the related equations and substitution or graphing. You may use Desmos or either of the Desmos calculators embedded below.

Problem 3 Got It?
You may use Desmos.

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