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

by Matthew Richardson

| 7 Questions1

30

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

y = x - 1

y = -x + 3

2

30

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.

3

10

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?

3 pens; 3 pencils

4 pens; 2 pencils

1 pen; 5 pencils

2 pens; 4 pencils

4

10

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

No; An independent system has one solution and an inconsistent system has no solution.

Yes; Both an independent system and an inconsistent system have no solutions.

5

10

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

6

10

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?

independent

dependent

inconsistent

7

10

Reflection: Math Success

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