Evaluate Solutions to Systems

Examine this linear system. What would its graph look like?

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Tags

CCSS.8.EE.C.8B

Examine this linear system. What would its graph look like?

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• 
• 
• 

Tags

CCSS.8.EE.C.8B

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8B

Which point below is NOT part of the solution set?

• (0, 0)

• (3, 5)

• (0, -2)

When the line is solid, the ordered-pairs on the line are...

• not included in the solutions

• included in the solutions

Answer explanation

Solid lines are like closed circles.

The number on a closed circle is included or "equal to", the ordered-pairs on solid lines are also included.

Tags

CCSS.HSA.REI.D.12

When the line is dotted, the points on the line are....

• included in the solutions

• not included in the solutions

Answer explanation

Dotted lines are like open circles.

The number on the open circle is not included, not "equal to", so the numbers on the dotted line are not included.

Tags

CCSS.HSA.REI.D.12

Is the ordered pair a solution to the system of equations?

(-3, -7)

y = 4x + 5

y = x – 4

• Yes

• No

Answer explanation

Plug in the point to both equations.

If you get a true statement for BOTH equations, the point is a solution to the system.

If you get a false statement for one or both equations the point is not a solution to the system.

Is the ordered-pair a solution to the systems of equations?

(1, 4)

y = -3x + 4

y = 3x - 2

• Yes

• No

Answer explanation

Plug in the point to both equations.

If you get a true statement for BOTH equations, the point is a solution to the system.

If you get a false statement for one or both equations the point is not a solution to the system.

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Answer explanation

Solutions to a system of equations are where the lines intersect.

If the lines don't cross, there are no solutions.

Tags

CCSS.8.EE.C.8B

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative