Foundations of Algebra

^{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

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

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

Solve the system using substitution. Write your answer as an ordered pair with no spaces. y = 2x − 11  2x − 8y = 4 

Solve the system using elimination:
x - y = 11
2x + y = 19

• (10, -1)
• (-1, 10)
• (3, -4)
• (6, 7)

A school chorus has 70 members. There are 14 more boys than girls. How many boys are in chorus.

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set
• No, they are NOT part of the solution set

Which of the following is not a solution to this system of inequalities?

• (0,-1)
• (0,3)
• (4,0)
• (6,-2)

Which system of inequalities is graphed?

• y ≥ -x - 1
  y < x + 4
• y < -x - 1
   y ≥ x + 4
• y > -x - 1
  y ≥ x + 4
• y > -x - 1
  y ≥ x + 3

Is (0, 0) a solution to the system?

• Yes
• No