Algebra 2 3-2 Complete Lesson: Solving Systems Algebraically

4.5 (1 rating)

by Matthew Richardson

| 25 QuestionsNote from the author:

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.

1

1

10 pts

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

Any amount over $511

Any amount over $215

Any amount over $171

Any amount over $313

2

2

10 pts

Problem 1 Got It?

A

B

C

D

3

3

10 pts

Problem 2 Got It?

A

B

C

D

4

4

10 pts

Problem 3 Got It?

A

B

C

D

5

10 pts

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

(5, 2)

(-2, 3)

(-3, 2)

(3, -5)

6

6

10 pts

Problem 5 Got It?

A

B

C

D

7

7

10 pts

Problem 5 Got It?

A

B

C

D

8

8

10 pts

A

B

C

D

9

9

10 pts

A

B

C

D

10

10

10 pts

A

B

C

D

11

11

10 pts

A

B

C

D

12

12

10 pts

A

B

C

D

13

13

10 pts

A

B

C

D

14

10 pts

Vocabulary: Give an example of two equivalent systems.

16

20 pts

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.

17

10 pts

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

18

10 pts

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.

19

10 pts

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)

20

10 pts

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

- Standard Form

21

10 pts

Vocabulary Review: Write the equation in standard form.

22

10 pts

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

23

10 pts

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

24

100 pts

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.

25

10 pts

Reflection: Math Success

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