Chapter 6 review

A solution to a system of equations must make how many of the equations true?

• none
• first one 
• second one
• both

What is the first step when solving a system of equations by graphing?

• make a table
• start with the slope
• put both equations in slope intercept form
• look for opposites

Write an equation for the line graphed here

• y= 2x + 2
• y = 2x - 2
• y = 2x + 1
• y  = -2x - 2

The first step in solving a system of equations by substitution is...

• start plugging in points
• multiply everything by -1
• solve both equations for y
• solve one equation for one variable

What is the best method of solving this system?

• substitution
• graphing
• setting equal
• elimination

In order to solve this system using elimination, we could first multiply one equation by...

• -2
• 2
• -1
• 1

A system of equations with No Solution will have...

• Same slope, different y-intercepts
• Same slope same y intercepts
• different slopes
• x = 0.5 (or other fraction)

A system of equations with Infinitely Many Solutions will have...

• Same slope, different y-intercepts
• Same slope same y intercepts
• different slopes
• Hmm...yeah. Studying this weekend.

A system of equations will have One Solution if the equations have different...

• y-intercepts 
• slopes
• variables
• color dots

How many solutions does this system of equations have?

• one solution
• no solution
• infinite many solutions
• two solutions