[YEAR 09 MATHEMATICS]: Simultaneous Equations

How many solutions are possible from two parallel lines?

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

What is the solution(s) for the following intersection of two lines? 

• (-1,-1)
• (-1,1)
• (1, 1)
• (1, -1)

Tags

CCSS.8.EE.C.8A

How many solution(s) are possible from the following straight line?

• One Solution
• No solution
• Infinitely Many Solutions

Solve:
3(x - 4) = -3

• 3
• -3
• 5
• -5

Solve the Simultaneous Equations:
x + y = 5
x - y = 1

• x=2, y=3
• x=3, y=2
• x=3, y=-2
• x=-3, y=2

Solve the Simultaneous Equations:
2a + 2b = 10
a + b = 5

• a=-2, b=-3
• a=3, b=2
• a=-3, b=-2
• a=2, b=3

Solve these simultaneous equations by elimination.  Hint: you can subtract one equation from the other to eliminate y.
      7x + 2y = 24
      8x + 2y = 30

• (6,-9)
• (-9,6)
• (-6,9)
• (0,0)

Solve these simultaneous equations by elimination.  Hint: you can subtract one equation from the other to eliminate x.  Be careful with the negative signs!
      -8x - 10y = 20
      -8x - 6y = -4 

• (-5, 6) 
• (6, 5) 
• (−6, −5) 
• (5, −6) 

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which system represents this situation?

• x+y=134
  x+y=120
• 3x+3y=134
  4x+3y=120
• 4x+3y=134
  3x+3y=120
• 7xy=134
  6xy=120

Tags

CCSS.8.EE.C.8C

Some horses and chickens are in a pasture.  If there are a total of 28 animals and 80 legs, how many chickens and how many horses are there?

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