Systems of Equations

What three methods can you use to solve systems of equations?

• Graphing

• Slope-Intercept Form

• Substitution

• Elimination

Answer explanation

The three methods are:

- Graphing

- Elimination

- Substitution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• skew lines

• parallel lines
• intersecting lines

• straight lines

Tags

CCSS.8.EE.C.8A

If a system of linear equations has one solution, what does the graph look like?

• parallel lines

• the same line 
• intersecting lines

• straight lines

Tags

CCSS.8.EE.C.8A

What is the solution to the following system of equations?

• (-4,4)

• (0,2)

• (-1,7)

• (0,8)

Answer explanation

The two lines intersect at the point (-1,7).

Tags

CCSS.8.EE.C.8B

What is the solution to the following system of equations?

• (3,-2)

• (0,-3)

• (2,1)

• (4,-4)

Answer explanation

The two lines intersect at the point (3, -2).

Tags

CCSS.8.EE.C.8B

What is the solution to the following system of equations?

• (0,2)

• (-2,-3)

• (0,3)

• No solution

Answer explanation

These are parallel lines:

- There is no intersection point because the lines NEVER cross.

-No solution

Tags

CCSS.8.EE.C.8B

What is the solution to the following system of equations?

• (0,-1)

• (-3,-3)

• (0,-4)

• (3,1)

Answer explanation

The two lines intersect at the point (-3,-3).

Tags

CCSS.8.EE.C.8B

Solve the system of equation using the elimination method.   

• (-3,0)

• (-3,2)

• (-1,2)

• (-2,-1)

Answer explanation

The correct answer is (-3,2).

Use your graphic organizer or ask for help if you have additional questions.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equation using the elimination method.

• (3,1)

• (5,2)

• (0,0)

• (4,2)

Answer explanation

The correct answer is (0,0).

Use your graphic organizer of ask for help if you have additional questions.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equation using the elimination method.

• (-3,3)

• (2,-2)

• (2,-3)

• (3,3)

Answer explanation

The correct answer is (-3,3).

Use your graphic organizer or ask for help if you have additional questions.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6