A3F System of Linear Equations Quiz 1

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)
• (1, -4)
• (-4, 1)
• (4, -1)

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

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

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

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Which graph best represents this system of equations and its solution?

8x - 4y = -16

3x + 15y = -6

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Which graph best represents a system of equations that has no solution?

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• The solution to the system is (10,5)

• The only solution to the system is (0,14)

• The system has no solution.

• The system has infinite solutions.

Which graph can be used to find the solution to the system of equations below?

2x + y = -4

-3y = 2x + 12

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Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 

• x + y = 1550
  y  = 4x
• x + y = 1550
  y = x + 4
• y - x = 1550
  y = 4x
• y = 1550 + x
  y = x + 4