Solution Sets for Equations

What is the solution to the system of equations?

• (3,1)

• (1,3)

• (3,-1)

• (3,-1)

Solve:

y = 8x+1

y = 6x+3

• (1, 9)

• (4, 14)

• (0, 1)

• (1, 4)

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

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (0, 3)

• (0, 5)

• (-3, 5)

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x

  y = 8.40 + x

• y = 9.65x + 43

  y = 8.40x + 58

• y = 9.65x

  y = 8.40x

• y = 9.65x - 43

  y = 8.40x - 58

For his parents' anniversary party, Felix is considering using one of two venues. A hotel in Arcadia will cost $400 for a reservation, plus $30 per person. A restaurant in the same city will cost $10 per person, in addition to $800 for the reservation. In order to make the best decision, Felix figures out how many guests it would take to have the venues cost the same amount. How many guests would that be? Write a system of equations in order to determine the solution.

• 20 guests

• 1000 guests

• 1200 guests

• 200 guests

Select all equations that have g=3 as a solution.

• g + 3 =7

• 4 - g = 1

• 4 x g = 12

• 2g = 6

Select all equations that have d=9 as a solution.

• d + 3 =7

• 12 - d = 3

• 5 x d = 45

• 2d = 6

Select all equations that have t=6 as a solution.

• t + 2 =7

• 6 - t = 11

• 4 x t = 24

• 2t = 12