Algebra Unit 6 Systems of Equations and Inequalities

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

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

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

• (-4, 2)
• (4, 2)
• (2, -4)
• (2, 4)

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

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

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?

• 10 horses, 18 chickens
• 16 horses, 12 chickens
• 12 horses, 16 chickens
• 18 horses, 10 chickens

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3
• x + y = 33
  x = 2y - 3
• x + y = 33
  x = 3 - 2y
• x + y = 3
  x = 33 - 2y

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87
• 1.5x+0.5y=78.5
  1.5x+0.5y=87
• x+y=78.5
  1.5x+0.5y=87
• x+y=78.5
  x+y=87

Write the inequalities represented in the picture.

• y > -2 + x
  y ≤ 2x + 2
• y > 2 + x
  y ≤ 2x + 2
• y ≥ -2 + x
  y ≤ 2x + 2
• none of these are the system

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)