Review - Systems of Equations

Which of the following describes the solution set of this system?

y= 0.5x+7

y= 0.5x−1

• The solution is (-2, -3) because the graphs of the two equations intersect at that point.

• The solution is (0.5, 3) because the graphs of the two equations intersect at the point.

• There is no solution because the graphs of the two equations are parallel lines.

• There are infinitely many solutions because the graphs of the two equations are the same line.

Find the solution to the following system:

y= 2 (2−3x)

y= ⁻3 (2x+3)

• x= -1 ; y= 10

• x= -2; y= 24

• x= -3; y= 22

• There is no solution.

Which of the following points is the intersection of the graphs of the lines given by the equations?

y= x − 5

y= 2x+1

• (1,3)

• (-1, -4)

• (-2, -3)

• (-6, -11)

Which of the following best describes the relationship between the graphs of the equations in this system?

y= 2x−6

y= -2x+6

• The lines intersect at the point (0, -3).

• The lines intersect at the point (3, 0).

• The lines do not intersect because their slopes are opposites and their y-intercepts are opposites.

• They are the same line because their slopes are opposites and their y-intercepts are opposites.

Solve the following system by graphing.  What is the solution?

• (3, -2)
• (3, -3)
• (-3, 2)
• (-3, -2)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Tags

CCSS.8.EE.C.8A

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

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

• intersecting lines
• parallel lines
• skew lines
• the same line (coinciding lines)

Tags

CCSS.8.EE.C.8A