Algebra 1 6-1 Guided Practice: Solving Systems by Graphing

By Matt Richardson

Last updated over 2 years ago

Solve It! Two professional downhill skiers are racing at the speeds shown in the diagram. Skier 1 starts 5 s before Skier 2. The course is 5000 ft long. Will Skier 2 pass Skier 1?

A.REI.6

Solve It! How do you know?

A.REI.6

Take Note: Define system of linear equations.

Take Note: Define solution of a system of linear equations.

Take Note: Graph an example of a system of linear equations.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

Problem 1 Got It?

A.REI.6

Take Note: Describe the process of solving a system of linear equations by graphing.

Problem 2 Got It?

A.REI.6

Take Note:

Three types of systems are listed in the column on the right.
Drag the appropriate characteristic(s) from the left column to each type of system on the right.

has no solution
has exactly one solution
has infinitely many solutions

Inconsistent system
Consistent & independent system
Consistent & dependent system

10.

Problem 3 Got It? Identify the solution(s) of the system by graphing.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

A.REI.6

11.

Problem 3 Got It? Identify the solution(s) of the system by graphing.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

A.REI.6

12.

Problem 3 Got It? Reasoning: Before graphing the equations, how can you determine whether a system of equations has exactly one solution, infinitely many solutions, or no solution? In other words, how can you tell what type of system it is by looking at the equations?

A.REI.6

13.

Take Note: Graph an example of an inconsistent system of linear equations. 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.

14.

Take Note: Graph an example of a consistent and independent system of linear equations. 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.

15.

Take Note: Graph an example of a consistent and dependent system of linear equations. 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.

16.

Algebra 1 6-1 Guided Practice: Solving Systems by Graphing

Solve It! Two professional downhill skiers are racing at the speeds shown in the diagram. Skier 1 starts 5 s before Skier 2. The course is 5000 ft long. Will Skier 2 pass Skier 1?

Solve It! How do you know?

Take Note: Define system of linear equations.

Take Note: Define solution of a system of linear equations.

Take Note: Graph an example of a system of linear equations.

Problem 1 Got It?

Take Note: Describe the process of solving a system of linear equations by graphing.

Problem 2 Got It?

Take Note: Three types of systems are listed in the column on the right. Drag the appropriate characteristic(s) from the left column to each type of system on the right.

Problem 3 Got It? Identify the solution(s) of the system by graphing. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? Identify the solution(s) of the system by graphing. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? Reasoning: Before graphing the equations, how can you determine whether a system of equations has exactly one solution, infinitely many solutions, or no solution? In other words, how can you tell what type of system it is by looking at the equations?

Take Note: Graph an example of an inconsistent system of linear equations. Zoom and pan your graph to establish an appropriate viewing window.

Take Note: Graph an example of a consistent and independent system of linear equations. Zoom and pan your graph to establish an appropriate viewing window.

Take Note: Graph an example of a consistent and dependent system of linear equations. Zoom and pan your graph to establish an appropriate viewing window.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note:

Three types of systems are listed in the column on the right.
Drag the appropriate characteristic(s) from the left column to each type of system on the right.

Problem 3 Got It? Identify the solution(s) of the system by graphing.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? Identify the solution(s) of the system by graphing.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.