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

Last updated about 4 years ago

7 questions

A.CED.2

A.REI.11

A.REI.6

A.CED.2

A.REI.11

A.REI.6

A.CED.3

A.REI.11

A.REI.6

A.REI.11

A.REI.6

A.CED.2

A.REI.11

A.REI.6

A.REI.11

A.CED.2

A.REI.11

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

Last updated about 4 years ago

7 questions

Question 1

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

y = x - 1
y = -x + 3

A.CED.2

A.REI.11

A.REI.6

Question 2

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.

A.CED.2

A.REI.11

A.REI.6

Question 3

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?

4 pens; 2 pencils

2 pens; 4 pencils

3 pens; 3 pencils

1 pen; 5 pencils

A.CED.3

A.REI.11

A.REI.6

Question 4

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

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

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

A.REI.11

A.REI.6

Question 5

A.CED.2

A.REI.11

A.REI.6

Question 6

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?

dependent

inconsistent

independent

A.REI.11

Question 7

Reflection: Math Success

A.CED.2

A.REI.11

Question 1

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

y = x - 1
y = -x + 3

Question 2

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.

Question 3

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?

4 pens; 2 pencils

2 pens; 4 pencils

3 pens; 3 pencils

1 pen; 5 pencils

Question 4

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

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

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

Question 5

Open-Ended: Which system of linear equations has no solution?

Question 6

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?

dependent

inconsistent

independent

Question 7

Reflection: Math Success

Open-Ended: Which system of linear equations has no solution?

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

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

Solve the system by graphing. Include relevant graph detail. Check your solution. y = x - 1y = -x + 3

Solve the system by graphing. Include relevant graph detail. Check your solution. 2x + y = 4x - y = 2Consider 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.

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?

Reflection: Math Success

Solve the system by graphing. Include relevant graph detail. Check your solution. y = x - 1y = -x + 3

Solve the system by graphing. Include relevant graph detail. Check your solution. 2x + y = 4x - y = 2Consider 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: Which system of linear equations 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?

Reflection: Math Success

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.

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.