Systems of Equations and Inequalities

What is a system (like we have been studying)?

• Numbers and variables together

• An equation.

• Two or more equations, lines, or graphs.

• More than two solutions.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

What does it mean to find the solution of a system of equations?

• Graphing the lines.

• Finding the point of intersection, if there is one.

• Plotting the y-intercepts.

• Finding the x-intercepts.

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

If a system of equations has infinitely many solutions, what does the graph look like?

• intersecting lines

• parallel lines

• perpendicular lines

• coinciding lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

What is the solution to this system?

• (-1, -2)
• (-2, -1)
• There is no solution.
• There are infinite solutions.

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

A system of equations that looks like this has ....

• infinite solutions
• no solution
• one solution 

Tags

CCSS.8.EE.C.8B

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

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

Tags

CCSS.8.EE.C.8A

When you come across a solution that reads 0 = 4, your answer would be.....

• no solution

• all real numbers

• (0,4)

• one solution

Tags

CCSS.HSA.REI.A.1

When you come across a solution that reads 0 = 0, your answer is...

• no solution

• all real numbers

• x = 0

• (0,0)

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3