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

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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.

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

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Take Note: Define system of equations.

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Take Note: Define linear system.

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Take Note: Define solution of a system.

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

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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

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

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

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…

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

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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.

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

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

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

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

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

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

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.

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.

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?

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 1 Got It?
You may use Desmos.

Problem 3 Got It?
You may use Desmos.

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

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

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

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.

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.

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?

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 1 Got It? You may use Desmos.

Problem 3 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.

🧠 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?

Problem 1 Got It?
You may use Desmos.

Problem 3 Got It?
You may use Desmos.