System of Equations word problems- (Substitution)

What is the solution to this system of linear equations? 
Use substitution.

y = -2x - 6
-2x + y = 6

• (0, -3)
• (-3, -12)
• (-3, 0)
• (3, -12)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the value of x in the solutiont o this system of linear equations?
Use substitution.

y = -3x + 3
- 2x + 2y  = 6

• 0
• No solution
• 4
• - 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

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. If a system of equations is written, which would be the correct representation of the 2 variables? 

• t: # of tacos
  m: # of glasses of milk
• t: Cost of each taco
  m: Cost of each glass of milk
• t: total cost
  m: # of food items
• t: Cost of each glass of milk
  m: Cost of each taco

Tags

CCSS.8.EE.C.8C

Jacob bought a total of 9 pizzas for his class party. The amount of large pizzas was twice the amount of medium pizzas. How many large and how many medium pizzas did he buy?

What do the two variables in this problem stand for? Select two choices below.

• x = number of large pizzas

• y = number of medium pizzas

• x = numbers of students in Jacob's class

• y = how hungry the students are

• y = number of slices each student gets

Tags

CCSS.8.EE.C.8C

Jacob bought a total of 9 pizzas for his class party. The amount of large pizzas was twice the amount of medium pizzas. How many large and how many medium pizzas did he buy?

x = number of large pizzas

y = number of medium pizzas

Which of the two equations below represent this situation. Select two answers.

• x + y = 9

• x = 2y

• y = 2x

• xy = 9

Tags

CCSS.HSA.CED.A.3

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. Find the number of toppings when both companies cost the same amount.

• 5 toppings will cost $11.30 at both pizza places

• 2 toppings will cost $8.60 at both pizza places

• 3 toppings will cost $9.50 at both pizza places

• 7 toppings will cost $11.85 at both pizza places

Tags

CCSS.8.EE.C.8C

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? Let x represent the number of shirts and y represent the total cost. Hint one equation is in blue and the other is in green.

• 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

Tags

CCSS.8.EE.C.8C

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. At what number of shirts will both companies charge the same amount?

• 10 shirts will cost $139.50 at both companies

• 20 shirts will cost $226.00 at both companies

• 15 shirts will cost $187.75 at both companies

• 12 shirts will cost $158.80 at both companies

Tags

CCSS.8.EE.C.8C

Mika and her friend Cindy are knitting scarves for the homeless. Mika had already completed 10 scarves and has committed to making 6 more scarves per day. Cindy, who has not completed any scarves yet, has more free time and can make 8 scarves per day. Write and solve the system. Let x represent the number of days and let y represent the total number of scarves. How long will that take for Mika and Cindy to have made the same amount of scarves? How many scarves will both of them have made?

• 2 days to have 16 scarves

• 5 days to have 40 scarves

• 3 days to have 28 scarves

• 7 days to have 56 scarves

Tags

CCSS.8.EE.C.8C