Algebra 1 Unit 6 Review

Solve the system of equations using any method. 

• No Solution
• (-3, 7)
• (8, 4)
• (4, 10)

The solution to this system is?

• (3,1)
• (-1,3)
• (2,3)
• (1,3)

What is the solution?

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

Solve the system by elimination: 

−7x + 6y = 29
60x + 6y = 96 

• (1,6) 
• (−1,−3) 
•  (−3, −1) 
• (−1, 3) 

What is the solution to this system?
y = 6x - 11
-2x - 3y = -7

• (1,2)
• (2,1)
• (-1,2)
• (-2,1)

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?      x = # of haircuts   y = # of dytes

• 3x + 2y = 315
  2x + 4y = 450
• 3x + 2y = 450
  2x + 4y = 315
• 2x + 2y = 315
  3x + 4y = 450

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?
c = chicken dinner and s = steak dinner

• c + s = 6
  14.80c + 17s = 91
• c + s = 91
  14.80c + 17s = 6
• c + s = 6
  14.80s + 17c = 91
• c + s = 91
  14.80c+ 17s = 6

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have?  Which system best represents the situation?  
t = # of twenties   f = # of fifties

• t + f = 1430
  20t + 50f = 49
• t + f = 49
  10t + 5f = 1430 
• t + f = 49
  20t + 50f = 1430
• t + f = 49
  t + f = 1430

What is the solution?

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

What is the solution?

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