Exploring Solutions for Systems of Linear Equations

What are the three types of solutions for a system of linear equations in two variables?

• One solution, two solutions, and three solutions

• No solution, two solutions, and infinite solutions

• No solution, one solution, and two solutions

• No solution, one solution, and infinite solutions

Tags

CCSS.8.EE.C.8B

If two lines have the same slope but different y-intercepts, what can be concluded about their solutions?

• They have no solution

• They intersect at two points

• They have one solution

• They have infinite solutions

Tags

CCSS.8.EE.C.8B

In the first case example, what is the slope of the first line?

• 2

• 1/2

• 1

• 4

Tags

CCSS.8.EE.B.5

What is the y-intercept of the second line in the first case example?

• 4

• -3

• 3

• -4

What does it mean when two lines are coincident?

• They have no solution

• They intersect at one point

• They lie on top of each other

• They are perpendicular

Tags

CCSS.8.EE.C.8A

In the second case example, what is the slope of the first line?

• 2/3

• -2/3

• -3/2

• 3/2

Tags

CCSS.8.EE.B.5

What is the y-intercept of the second line in the second case example?

• -2

• 2

• -1

• 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the result when two lines intersect at one point?

• One solution

• No solution

• Two solutions

• Infinite solutions

Tags

CCSS.8.EE.C.8B

In the third case example, what is the slope of the first line?

• 3/2

• -3/2

• -2/3

• 2/3

Tags

CCSS.8.EE.B.5

What is the y-intercept of the second line in the third case example?

• -2

• -5

• 5

• 2