Algebraic Ideas Review

Solve the system of equations:
x + y + z = 4
x = -2y
z = -3y

• (2, -1, 3)
• (2, 3, 1)
• None of these
• (4, 1, -1)

Solve the system of equations: 

• ( -2, 3, -3)
• None of these
• ( -2, -3, 3)
• ( -3, 3, -2)

Solve the system of equations: 

• ( 4, 0, -2)
• ( -4, -2, 0)
• None of these
• ( -4, 0, -2)

Solve the system of equations: 

• ( 5, 1, -4)
• (-5, 3, -1)
• None of these
• ( -1, 5, -4)

Solve the system of equations: 

• ( -2, 4, 3)
• ( 2, 1, 6)
• No solution
• None of these

Create a system of equations that matches the picture above.

• x + x + x = 30

  x + y =40

  x + y + z = 100

  z = ?

• x + x + x = 30

  x + y =40

  x + y + 2z = 100

  z = ?

• x + x + x = 30

  2x + y =40

  x + y +2z = 100

  z = ?

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Which transformation will occur if f(x) = x is replaced with -f(x)?

• Reflection across the y-axis
• Narrower
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Which transformation will occur if f(x) = x is replaced with f(2x)?

• Vertical stretch
• Vertical compression
• Vertical translation up by 2 units.
  Horizontal stretch
• Horizontal compression

Identify the transformations. 

• horizontal shift to the left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical shrink by a factor of 3
• horizontal shift to the left 2 and vertical shrink by a factor of 3