Illustrative Math - Algebra 1 - Unit 2- Lesson 17

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16 Questions
1
1.
Solve the system by graphing the equations (by hand or using technology).
1
2.
Explain how you could tell, without graphing, that there is only one solution to the system.
1
3.
Without graphing, determine how many solutions you would expect this system of equations to have. Explain your reasoning.
1
4.
Try solving the system of equations algebraically and describe the result that you get. Does it match your prediction?
1
5.
How many solutions does this system of equations have?
8.EE.8.a
8.EE.8.b
A.CED.3
8.EE.8.c
A.REI.6
A.CED.4
1
6.
Select all systems of equations that have no solutions.
8.EE.8.a
8.EE.8.b
A.CED.3
8.EE.8.c
A.REI.6
A.CED.4
1
7.
Solve the system without graphing.
1
8.
Solve the system without graphing.
1
9.
Select all the dot plots that appear to contain outliers.
8.EE.8.a
8.EE.8.b
A.CED.3
8.EE.8.c
A.REI.6
A.CED.4
1
10.
Here is a system of equations:
Would you rather use subtraction or addition to solve the system? Explain your reasoning.
8.EE.8.a
8.EE.8.b
A.CED.3
8.EE.8.c
A.REI.6
A.CED.4
1
11.
Here is a system of linear equations:
Select all the steps that would help to eliminate a variable and enable solving.
8.EE.8.a
8.EE.8.b
A.CED.3
8.EE.8.c
A.REI.6
A.CED.4
1
12.
What was done to the original system to get the system in Step 1?
1
13.
Explain why the system in Step 1 shares a solution with the original system.
1
14.
What was done to the system in Step 1 to get the system in Step 2?
1
15.
Explain why the system in Step 2 shares a solution with that in Step 1.
1
16.
What is the solution to the original system?
This lesson is from Illustrative Mathematics. Algebra 1, Unit 2, Lesson 17. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/2/17/index.html ; accessed 26/July/2021.

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