CCSS.Math.Content.HSA.REI.C.6

A ________________ is a set of two or more equations that have the same variables.

• solution of a system
• elimination method
• system of equations
• table

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CCSS.Math.Content.HSA.REI.C.6

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

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CCSS.Math.Content.HSA.REI.C.6

What is the slope that passes through the following two points:  (2, 9) and (1, 6)

• -3
• 4
• 3
• -4

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CCSS.Math.Content.HSA.REI.C.6

Lisa and Tammy are selling items at the craft show.  Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

• (1, 12)
• (3, 19)
• (5, 25)
• (0, 10)

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CCSS.Math.Content.HSA.REI.C.6

Solve the system by elimination OR graphing.
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 
• Infinite number of solutions  
• (−6, 10) 
• (6, 4) 

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CCSS.Math.Content.HSA.REI.C.6

Solve by elimination:
9x-4y=7

x-4y=-17

• (-1,5)
• (-7,5)
• (7,5)
• (3,5)

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CCSS.Math.Content.HSA.REI.C.6

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

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CCSS.Math.Content.HSA.REI.C.6

7x+4y =12 
x + 2y = -4

• (-4,4)
• (4,4)
• (4,-4)
• (-4,-4)

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CCSS.Math.Content.HSA.REI.C.6

What's the difference between systems of equations and systems of inequalities?

• Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions.

• Systems of equations use slope-intercept form only while systems of inequalities use standard form only.

• Systems of equations have a shaded region while systems of inequalities do not.

• There is no difference.

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CCSS.Math.Content.HSA.REI.C.6

Solve the following system:

 $y=5x-2$  

 $-3x+6y=-12$  

•  $\left(0,\ -2\right)$  

•  $\left(0,\ 2\right)$  

•  $\left(-2,\ 0\right)$  

•  $\left(2,\ 0\right)$  

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CCSS.Math.Content.HSA.REI.C.6