Writing Systems of Equations

A system of linear equations is... 

• Math Magic
• One Equation
• Always more than 2 equations
• A set of 2 or more equations

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

x - 2y = 6

y = 11- 3x

• no solution

• (4, -1)

• (1,4)

• (4,1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

At a taco shop the cost for a taco is $1.50 and the cost for a coffee is $2.00. What are the variables?

• Type of tacos

• Type of coffee

• Tacos, coffee

Tags

CCSS.6.EE.B.6

The cost of admission to a popular music concert was $162 for 12 children and 3 adults. The admission was $122 for 8 children and 3 adults in another music concert. How much is the admission for each child and adult?

• 10 children and 4 adults

• 1 child and 14 adults

• 10 children and 14 adults

• 5 children and 7 adults

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.A.1

What is the solution for this system of equations.

x+y = 8

3x- 4y = 3

• (3,4)

• no solution

• (5,4)

• (5,3)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Edwin bought 3 cd's and 7 dvd's for $80.  Jessica bought 6 cd's and 3 dvd's for $63.75.  Which system of equations could be used to determine how much one cd and one dvd costs?

• 3x + 7y = 80
  6x + 3y = 63.75
• 3x + 3y = 80
  6x + 7y = 63.75
• 3x + 7y = 63.75
  6x + 3y = 80
• 6x + 7y = 80
  3x + 3y = 63.75

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

Academy sports equipment store is having a sale on bike helmets and water bottles.  One bike club purchased 10 helmets and 2 water bottles for $155.  Another bike club purchased 12 helmets and 3 water bottles for $189.  Which system of equations could be used to determine the cost of a bike helmet and a water bottle?

• 2h + 10b = 155
  12h + 3b = 189
• 10h + 2b = 189
  12h + 3b = 155
• 10h + 2b = 155
  12h + 3b = 189
• 10h + 3b = 155
  12h + 2b = 189

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8A

Ricki has a prepaid cell phone. Last week Ricki made 4 calls and sent 20 text messages which cost a total of $4. The next week he made 10 calls and sent 5 text messages which cost him a total of $5.50. Write a system of equations that represents that situation.

• 4x + 20y = 4

  10x + 5y = 5.50

• 4x + 5y = 4

  10x + 20y = 5.50

• x + y = 4

  4x + 20y =5.50

• x - y = 5.50

  4x + 20y =4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.

• c + s = 6
  14c + 17s = 99
• c + s = 99
  14c + 17s = 6
• c + s = 6
  17c + 14s = 99
• c + s = 99
  17c + 14s = 6

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6