Algebra 2 3-1 Complete Lesson: Solving Systems Using Tables and Graphs

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 either of the Desmos calculators embedded below.

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

Solve the system by graphing. Include relevant graph detail. Check your solution.

y = x - 1

y = -x + 3

Solve the system by graphing. Include relevant graph detail. Check your solution.

2x + y = 4

x - y = 2

Consider using intercepts to graph or re-writing each equation in slope-intercept form.

You may use the canvas for scratch work.

You bought a total of 6 pens and pencils for $4. If each pen costs $1 and each pencil costs $.50, how many pens and pencils did you buy?

Vocabulary: Is it possible for a system of equations to be both independent and inconsistent? Explain.

Open-Ended: Write a system of linear equations that has no solution.

Reasoning: In a system of linear equations, the slope of one line is the negative reciprocal of the slope of the other line. Is this system independent, dependent, or inconsistent?

Review Lesson 2-8: Graph the three inequalities on the same coordinate plane. Zoom and pan your graph to establish an appropriate viewing window.

Review Lesson 2-3: Identify the slope of the line through each pair of points.

Review Lesson 1-3: What is the value for a + b - 2c for a = 3, b = 1, and c = -3.

Review Lesson 1-3: Substitute -3 for x in each of the equations. Identify the value of y in each case.

Vocabulary Review: Classify each equation based on its form.

Classify each item on the left based on the type of system it describes or represents.

Use Your Vocabulary: Recall the infomation about systems of linear equations below.

Tag each statement as true or false.

Graphing systems Review: Which graph represents the system?

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.

Reflection: Math Success