Quiz 5-1: Systems of Equations

What is the solution?

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

What is the solution?

• No solution
• (0, 2)
• (0, -4)
• (3, -3)

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

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

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

Is the following point a solution to the given system of equations?

(5,1)

y = -x + 6

y = 2x - 9

• Yes

• No

Is the following point a solution to the given system of equations?

(-1,-5)

y = -x + 2

y = 3x - 2

• Yes

• No

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

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  
What are their ages?

• 26 and 23

• 26 and 29

• 29 and 26

• 29 and 32

The difference of a and b is 3. The sum of the variables is 13. Find the numbers.

• a = 7
  b = 10
• a = 8
  b = 5
• a = 10
  b = 13

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

• Sugar Cookies $5 
  Oatmeal Cookies $3
• Sugar Cookies $4
  Oatmeal Cookies $8
• Sugar Cookies $2
  Oatmeal Cookies $6
• Sugar Cookies $3
  Oatmeal Cookies $6