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

y= x-4
4x-4y=12
The system of equations above consists of two equations, and the graph of each equation in the xy-plane is a line.  Which of the following statements is true about these two lines?

• The lines are parallel
• The lines are the same
• The lines are perpendicular
• The lines intersect at (-4, -3)

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

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

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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 solution?

• One Solution
• No solution
• Infinitely Many Solutions

Tags

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

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

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

Which of the following is NOT a method to solve systems?

• Elimination
• Distribution
• Substitution
• Graphing

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

Solve:

2x + 3y = 5

x + 3y = 7

• x = -2

  y = 3

• x = -2

  y = -3

• x = 2

  y = 3

• x = 2

  y = -3

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

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3
• x + y = 33
  x = 2y - 3
• x + y = 33
  x = 3 - 2y
• x + y = 3
  x = 33 - 2y

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

What is the best method to use?

2x − 3y = −1

y =x − 1

• Graphing

• Substitution because a variable is defined

• Elimination because the equations are in standard form.

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