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Algebra 2 3-2 Complete Lesson: Solving Systems Algebraically

Last updated over 4 years ago

25 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

10

A.REI.5

A.REI.6

10

A.REI.6

10

A.REI.6

20

A.CED.2

A.REI.6

10

A.REI.6

10

A.REI.6

10

F.IF.1

10

10

10

10

A.REI.6

100

10

A.CED.2

A.REI.6

10

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1.

Solve It! What whole dollar amount of one-day sales would make it more worthwhile to work at Store B?

Any amount over $215

Any amount over $313

Any amount over $511

Any amount over $171

A.CED.2

A.REI.6

10

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2.

Problem 1 Got It?

A

B

C

D

A.REI.6

10

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3.

Problem 2 Got It?

A

B

C

D

A.CED.2

A.REI.6

10

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4.

Problem 3 Got It?

A

B

C

D

A.REI.6

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5.

Problem 4 Got It? What is the solution of this system of equations?

(-2, 3)

(5, 2)

(3, -5)

(-3, 2)

10

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6.

Problem 5 Got It?

A

B

C

D

A.REI.5

A.REI.6

10

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7.

Problem 5 Got It?

A

B

C

D

A.REI.5

A.REI.6

10

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8.

A

B

C

D

A.REI.6

10

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9.

A

B

C

D

A.REI.6

10

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10.

A

B

C

D

A.REI.6

10

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11.

A

B

C

D

A.REI.6

10

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12.

A

B

C

D

A.REI.6

10

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13.

A

B

C

D

A.REI.6

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14.

Vocabulary: Give an example of two equivalent systems.

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16.

Writing: A cafe sells a regular cup of coffee for $1 and a large cup for $1.50. Melissa and her friend buy 5 cups of coffee and spend a total of $6. Explain how to write and solve a system of equations to find the number of large cups of coffee they bought. Use the canvas to explain. You are not required to solve the system of questions, but your response should include the system and a narrative explaining how you set it up.

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17.

Review Lesson 3-1: Solve the system by graphing on the canvas.

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18.

Review Lesson 3-1: Solve the same system using the Desmos graphing utility. Zoom and pan your graph to establish an appropraite viewing window. You may edit your response to the previous item, if needed.

Yɛayi Graphing asɛmmisa type foforo a wɔatu mpɔn adi! Asuafo rentumi mmua saa asɛmmisa yi bio.

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19.

Review Lesson 2-1: Use the vertical line test to determine whether each graph represents a function. Categorize each graph appropriately.

Is a function (passes the vertical line test)
Is not a function (fails the vertical line test)

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20.

Vocabulary Review: Group the equations that are in standard form.

Standard Form

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21.

Vocabulary Review: Write the equation in standard form.

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22.

Use Your Vocabulary: Pair up x- and y-values to form two different solutions of the equation.

x = 0
x = 1

y = -2
y = -7
y = 3

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23.

Use Your Vocabulary: Consider the system below. Categorize each statement regarding the system as true or false.

The system has a unique solution.
The system has infinitely many solutions.
The system has no solution.
The solution is (0, 0).
The solution of a system can be found by graphing the equations of the system.

True
False

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24.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.

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25.

Reflection: Math Success