Algebra 1 6-1 Independent Practice: Solving Systems by Graphing
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Last updated over 5 years ago
17 questions
Complete all of the graphing in this assignment by hand before checking your work using the embedded Desmos graphing calculator below. After checking your work, you may edit your own graphs.
20 points
20
Question 1
1.
Solve the system by graphing.
Work carefully and precisely to ensure that you graphs reveal the correct solution.
As always, check your solution using substitution.
10 points
10
Question 2
2.
Identify the solution to the system of equations you solved by graphing in the previous item.
Write your response in the following format, with a space immediately following the comma: (5, -4)
20 points
20
Question 3
3.
Solve the system by graphing.
Work carefully and precisely to ensure that you graphs reveal the correct solution.
As always, check your solution using substitution.
10 points
10
Question 4
4.
Identify the solution to the system of equations you solved by graphing in the previous item.
Write your response in the following format, with a space immediately following the comma: (5, -4)
20 points
20
Question 5
5.
Solve the system by graphing.
Work carefully and precisely to ensure that you graphs reveal the correct solution.
As always, check your solution using substitution.
10 points
10
Question 6
6.
Identify the solution to the system of equations you solved by graphing in the previous item.
Write your response in the following format, with a space immediately following the comma: (5, -4)
20 points
20
Question 7
7.
Solve the system by graphing. Zoom and pan your graph to establish an appropriate viewing window.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
10 points
10
Question 8
8.
Identify the solution to the system of equations you solved by graphing in the previous item.
Write your response in the following format, with a space immediately following the comma: (5, -4)
40 points
40
Question 9
9.
Concert Tickets: Tickets for a concert cost $10 each if you order them online, but you must pay a service charge of $8 per order. The tickets are $12 each if you buy them at the door on the night of the concert, with no service charge.
a. Write a system of equations to model the situation. Let c be the total cost. Let t be the number of tickets.
b. Graph the equations and find the intersection point.
10 points
10
Question 10
10.
Analysis: What does the intersection point of the system of equations you graphed in number 9 represent?
5 points
5
Question 11
11.
Vocabulary: How many solutions does an inconsistent system have?
5 points
5
Question 12
12.
Vocabulary: How many solutions does a consistent and dependent system have?
5 points
5
Question 13
13.
Vocabulary: How many solutions does an consistent and independent system have?
10 points
10
Question 14
14.
Writing: Suppose you graph a system of linear equations. If a point is on only one of the lines, is it a solution of the system? Explain.
10 points
10
Question 15
15.
Reasoning: Can a system of two linear equations have exactly two solutions? Explain.
10 points
10
Question 16
16.
Reasoning: Suppose you find that two linear equations are true when x = -2 and y = 3. What can you conclude about the graphs of the equations? Explain.
