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Solve Systems by Graphing, A.3F & A.3G

Solve Systems by Graphing, A.3F & A.3G

Assessment

Presentation

Mathematics

12th Grade

Hard

CCSS.8.EE.C.8B, CCSS.8.EE.C.8A, A1.AREI.6

Standards-aligned

Created by

Margaret M Wilson

FREE Resource

13 Slides • 11 Questions

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14

Multiple Choice

A system of equations with one solution will have lines that...

1

are the same

2

cross in one place

3

are parallel and never touch

15

Multiple Choice

Question image
Use the graph to write a system of linear equations.  
1
y = 4/3x -2
y = -2/3x  +1
2
y = -4/3x  - 2
y = 2/3x  +1
3
y = 4/3x  + 2
y = -2/3x  -4
4
y = -4/3x  + 2
y = 2/3x  +1

16

Multiple Choice

When both lines in a system are identical, the system has __________________.

1

infinite solutions

2

one solution

3

no solution

4

parallel solutions

17

Multiple Choice

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What is the solution to this system?
1
(1, -1)
2
(-1, 1)
3
(0, -2)
4
(2, 0)

18

Multiple Choice

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Which system is shown on the graph?

1

x - y = 4

x + y = 2

2

x + y = 4

2x - 2y = 1

3

x + y = -4

x - y = 2

4

x + y = 4

x - y = -2

19

Multiple Choice

Question image

Which system is best represented by the graph?

1

y = (1/2)x + 2

x = -xy - 3

2

y = 2x + 2

y = -2x - 3

3

y = 2x + 2

y = -(1/2)x - 3

4

y = (1/2)x + 2

y = -2x - 3

20

Multiple Choice

Question image
What is the solution to the system?
1
(3, -1)
2
(2, -6)
3
No Solution 
4
(6, -2)

21

Multiple Choice

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Which system is best represented by the graph?

1

2x + y = 1

x - y = 2

2

x + 2y = 1

x - 2y = 2

3

2x + 2y = 1

2x - 2y = 2

4

2x - y = 1

x + y = 2

22

Multiple Choice

Question image

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

1

(2, -5)

2

(5, -2)

3

(-5, -2)

4

(-2, 5)

5

(-2, -5)

23

Multiple Choice

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How many solutions will this system have? 
1
No solution
2
One Solution
3
I Don't Know
4
Infinitely Many Solutions

24

Poll

Are you Clear or Cloudy on this lesson?

I'm Clear. I could teach this lesson to others.

I'm Cloudy. I should re-do this lesson.

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