Algebra Unit 7: Systems of Equations and Inequalities

Determine the number of solutions for the following graph:

• One Solution

• No Solution

• Infinitely Many Solutions

Determine the number of solutions for the following graph:

• One Solution

• No Solution

• Infinitely Many Solutions

Determine the number of solutions for the following graph:

• One Solution

• No Solution

• Infinitely Many Solutions

At what point would the following lines intersect at (use graph paper to help):

y=-3x+2

y=2x-3

• (1,-1)

• (2,3)

• (-3,5)

• (2,6)

At what point would the following lines intersect at (use graph paper to help):

2y+x=14

y=3x

• (1,-1)

• (2,3)

• (-3,5)

• (2,6)

At what point would the following lines intersect at (use substitution to solve):

y=5x+2

y=4x-3

• (2,9)

• (-5,-23)

• (-10,5)

• (2,2)

At what point would the following lines intersect at (use substitution to solve):

2y=3x+12

y=5x-1

• (2,9)

• (-1,-2)

• (-10,5)

• (2,2)

At what point would the following lines intersect at (use elimination to solve):

4x-2y=4

2x+y=6

• (2,9)

• (-1,-2)

• (-10,5)

• (2,2)

At what point would the following lines intersect at (use elimination to solve):

4x+5y=-12

3x-4y=5

• (2,9)

• (-1,-2)

• (-10,5)

• (2,2)

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