Algebra 2 3-1 Independent Practice: Solving Systems Using Tables and Graphs
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by Matthew Richardson
| 7 Questions
1
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?
2 pens; 4 pencils
4 pens; 2 pencils
1 pen; 5 pencils
3 pens; 3 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
inconsistent
dependent
7
10
Reflection: Math Success
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