Systems of Equations/Inequalities

*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.

To find determine when the cost will be the same,

which system below would best models the information?

• y = 6.80x + 0.90 and y = 7.30x + 0.65

• y = 0.9x + 6.80 and y = 0.65x + 7.30

• 6.80x + 0.90y = 7.30 and x + y = 0.65

• 0.90x + 0.65y = 7.30 and x + y = 6.80

Tags

CCSS.8.EE.C.8C

*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.

How many toppings will need to be added to a large cheese pizza from both businesses in order for the pizzas to cost the same?

• 8.6 toppings

• 1 topping

• 8 toppings

• 2 toppings

Tags

CCSS.8.EE.C.8C

*At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10.

*The cost for 2 tacos and 3 small glasses of milk is $5.15.

Which pair of equations can be used to determine t, the cost of a taco, and m, the cost of a small glass of milk?

• T= M + 2.10 and 2T + 3M = 5.15

• T + M = 2.10 and 2T + 3M = 5.15

• 2T + 3M = 2.10 and T + M = 5.15

• T = M + 2.10 and T + M = 5.15

Tags

CCSS.8.EE.C.8C

*At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10.

*The cost for 2 tacos and 3 small glasses of milk is $5.15.

What is the cost of a small glass of milk?

• M = 1.15

• M = 2.10

• M = 1.05

• M= 0.95

Tags

CCSS.8.EE.C.8C

*At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54.

*The price of the math textbook is $8 more than 3 times the price of the novel.

Which system of linear equations could be used to determine the price of each book?

• M + N = 54 and N= 8M + 3

• M + N = 54 and 3M + N = 8

• M + N = 54 and 3N + M = 8

• M + N = 54 and M = 8 + 3N

Tags

CCSS.HSA.CED.A.3

*At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54.

*The price of the math textbook is $8 more than 3 times the price of the novel.

What is the price of the Math textbook?

• M = 11.50

• M = 42.50

• M = 54

• M = 31

Tags

CCSS.8.EE.C.8C

Write the inequality

• y>-5x-3
• y≥-5x-3
• y<-5x-3
• y≤-5x-3

Tags

CCSS.HSA.REI.D.12

Write the inequalities

• y≥-2x+3
  y≤x-3
• y>2x+3
  y≥x-3
• y>-2x+3
  y≥x-3
• y<-2x+3
  y≤x-3

Tags

CCSS.HSA.REI.D.12

*Cullin needs to save at least $100 for the prom.  He works 2 jobs earning $8 per hour at the car wash (c) and $15 per hour mowing lawns (m).

 He only has time to work 14 hours before the prom.

Which inequalities below model the situation?

• c + m  ≥ 15
  c + m ≤ 8

• 8c + 15m ≤ 100
  2c + 8m ≤ 14

• c + m ≥ 100
  8c + 15m ≤ 14

• 8c + 15m ≥ 100
  c + m ≤ 14

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12