Systems of Equations My Graphing

Solve by graphing.
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Tags

CCSS.8.EE.C.8B

Solve the system of inequalities by graphing.

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Tags

CCSS.HSA.REI.D.12

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

Tags

CCSS.HSA.REI.D.12

Identify the two inequalities that represents the graph.

• y > ½x - 3

• y ≤ -4x + 2

• y < ½x - 3

• y ≥ -4x + 2

Tags

CCSS.HSA.REI.D.12

Identify all solutions for the graph

• (2, 3)

• (4, -2)

• (2, -4)

• (-2, 0)

Tags

CCSS.HSA.REI.D.12

Which is the graph of the system of inequalities shown below?

y > 8 – 3x

y ≤ 2x – 1

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Tags

CCSS.HSA.REI.D.12

Which system of inequality is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y = -x - 1
  y ≥ x + 4

Tags

CCSS.HSA.REI.D.12

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Answer explanation

These lines intersect at ONE point. This means that only one point will be true for the equations of both lines.

Tags

CCSS.8.EE.C.8B

What does a "solution to a system of equations" mean?

• It's the point where both equations equal zero

• It's the point where graphs of both equations cross the y-axis

• It's the point that is true for both equations at the same time

• It's the point where graphs of both equations cross the x-axis

Answer explanation

A solution to a system of equations is a point that will work in all equations within the system.

Tags

CCSS.8.EE.C.8B

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Answer explanation

The lines overlap everywhere, so they have the same equation.

This means the solutions for one equation are also the solutions for the other.

The lines go on infinitely in both directions, so there are an infinite number of points that are shared solutions.

Tags

CCSS.8.EE.C.8A