Alg Spring Semester Final

Solve for x and y
y = 2x + 1
y = 4x - 1

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x

• (3,1)
• (1,3)
• (-3,1)
• (3,-1)

A ________________ is a set of two or more equations that have the same variables.

• solution of a system
• elimination method
• system of equations
• table

What kind of lines have ONE solution to a system of equations

• Parallell Lines
• Overlapping lines
• Intersecting Lines
• Skew Lines
• none of these choices

Given the system of equations:

2x + 7y = -4 and -3x + 2y = 31

Can you solve this system using the SUBSTITUTION method?

• yes

• no

• maybe...if you could eliminate one of the variables

• only if the "x" terms are equal

Which methods could you use to solve this system of equations:

2x + 7y = -4 and -3x + 2y = 31

choose all that apply

• Graphing

• Substitution

• Elimination

• Intersecting

• none of these methods

Which is the first step, in solving this system of equations by elimination method?

2x + 7y = -4

-3x + 2y = 31

• Solve it for "x"

• Solve it for "y"

• Multiply one equation by 3

• Multiply the top equation by 3 and the bottom equation by 2

• none of these steps are correct

If you multiply the top equation by 3 and the bottom equation by 2, which variable will eliminate when adding the equations together?

2x + 7y = -4

-3x + 2y = 31

• The "x"

• The "y"

• Both eliminate

• Neither eliminate; you need to multiply by another number