Unit 3 Review

These two lines intersect at _____.

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

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Solve the system of equations.
y = 4x + 1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

What is the solution to this system?
p = 4 - q
4p + q = 1

• (1,1)
• (3,3)
• (-1,5)
• No solution

Solve the system by graphing.

y = 5x + 1

y = 3x + 13

• (6, 31)

• (31, 6)

• (4, 21)

• (2, 11)

• (3,-1)
• (-3,-1)
• (1,2)
• (-1,2)

4x+8y=20
-4x+2y=-30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

Solve  the system of equations.  
   x + 5y = -27
-2x - 5y = 24

• (3, 6)
• (-3, -6)
• (-3, -4)
• (3, -6)

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Which equations could be used to determine the cost of the coffee? 

• 10c + 5d = 14.25
  5c + 10d = 16.50
• 10c + 5d = 16.50
  5c + 10d = 14.25
• c + d = 10
  5c + 10d = 16.50
• c + d = 5
  5c + 10d = 16.50

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54
  t = 3n + 8
• t + n = 54
  n = 3t + 8
• t + n = 54
  t = 3n - 8
• t + n = 8
  t = 3n + 54