Illustrative Math Unit 4 Systems of Linear Equations

Select all equations that are represented in this diagram.

• 
• 
• 
• 
• 

Which of the following are ways to solve systems of equations? 

• Graphing

• Substitution

• Elimination

• All of the above

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

• Yes

• No

Decide if the following statements are true or false about the graph.

Groups:

(a) True

,

(b) False

• The lines will not intersect, so the system has no solution

• The line are parallel, so the system has no solution

• The slope(m) of the lines are equal

• The lines are perpendicular which means they will not ever cross.

• The slopes are equal, so the system has infinitely many solutions

• The lines will eventually touch, so the system has one solution

• (2, -2)
• (2, 2)
• (-2, 2)
• (-2, -2)

10 baseball caps

Which statement describes Kayla's solutions?

• Her solutions are correct.

• She marked the y-intercepts instead of the x-intercepts.

• She marked the y-intercepts instead of the intersection point of the two lines.

• She marked only the y-intercepts instead of the x- and y-intercepts.

Graph the systems of equations. What is the solution?

Graph the systems of equations. What is the solution?