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

Last updated about 3 years ago
18 questions
3

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
  • Trikes
3

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.

3

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

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
10

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

3

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.

…
3

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

10

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.

  • coinciding lines
  • parallel lines
  • dependent
  • no solution
  • independent
  • inconsistent
  • intersecting lines
  • infinitely many solutions
  • consistent
  • one solution
10

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

10

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

10

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

10

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