Algebra 1 Chapter 6 Review

Which of the following is not a method to solve systems of equations?

• Elimination
• Difference of Squares
• Substitution
• Graphing

^{What is the solution?} 

• 1
• -2
• (1,  2)
• (1,  -1)

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

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

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercepts.
• they have different slopes.
• they have different y-intercepts. 

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

• (1, 3)
• (-1, -3)
• (-1, 3)
• (3, 1)

What is the solution to this system?
(assume a 1:1 scale)

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

The first step in solving using the substitution method is __________.

• graph the equations
• write one equation as y = mx + b
• get one variable by itself
• add the equations together

Solve the system using substitution. 
-2x - 2y = 16
y = -8

• (0, -8)
• (-8, 0)
• (-16, -8)
• (-16, -8)

Solve the system using substitution. 
y = 2x − 11 
2x − 8y = 4 

•  (6, 1)
• (6, −4)
• (6, −1)
• Infinite number of solutions