Intro Systems of Equation

If a system of linear equations has no solutions, what does this mean about the two lines?

• Intersecting lines

• Same line

• Parallel lines

What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x

• (3,1)

• (1,3)

• (-3,1)

• (3,-1)

A photographer is comparing two stylists' prices using the graph. The photographer realizes that, given the expected duration of her photo shoot, either stylist would cost her the same amount. What would the cost be?

• $5

• $500

• $200

• $150

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

• 1s + 3c = 38
  2s + 3c = 52

• 3s + 1c = 38
  3s + 2c = 52

• s + c = 38
  s + c = 52

• 3s + 3c = 38
  1s + 2c = 52

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

• y = 6.80 + .65x
  y=7.30+.90x

• x + y = 6.80
  x + y = 7.30

• y = 6.80+.90x
  y = 7.30 + .65x

• y + .90x = 6.80
  y + .65x = 7.30

What point is the solution to these two equations?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

The graph above represents the allowance that Stefin and Daniel receive every week. "x" is the number of weeks, and "y" is the amount of money saved. What would the intersection point represent?

• They have the same amount of money saved.

• They are earning the same amount each week.

• They are starting with the same amount.

• Both have reached their savings goal.

If "x" is the number of weeks, and "y" is the amount of money saved. What is the correct way to describe when both people's money is equal?

• $2 after 8 weeks

• $8 after 2 weeks

• $4 after 0 weeks

• $20 after 6 weeks

The line pictured as a(n) ______ slope.

• Positive

• Negative

• Zero

• Undefined

What point is the solution to these two equations?

• (6, 3)

• (3, 6)

• (-6, 3)

• No solution