Systems of Equations

3x-2y=6

x+y=-8

• x=-6

  y=-2

• x=-8

  y=-4

• x=-2

  y=-6

• x=2

  x=-6

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y=8x-1

y=-2x-1

• x=0

  y=-1

• x=7

  y=5

• x=-1

  y=0

• x=0

  y=1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A school is organizing a fundraiser event. They plan to sell tickets for a school play and tickets for a raffle. The total number of tickets sold is 150, and the total revenue from selling these tickets is 900$. Tickets for the school play sell for the school play sell for 5$ each, and tickets for the raffle sell for 2$ each. How many tickets for the school play and the raffle were sold?

• 100 school play tickets and 50 raffles tickets were sold

• 50 school play tickets and 100 raffle tickets were sold

Tags

CCSS.8.EE.C.8C

5x+8y=-16

17x-2y=4

• x=-2

  y=0

• x=0

  y=-2

• x=0

  y=2

• x=2

  y=0

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4x+2y=14

3x-5y=-22

• x=1

  y=5

• x=-1

  y=5

• x=5

  y=1

• x=-1

  y=-5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

True or False: In a system of linear equations, if the determinant of the coefficient matrix is zero, the system has a unique solution.

• True

• False

Tags

CCSS.8.EE.C.8B

Johnaiker and Ms. Kaminski are planning a school carnival. They decide to sell two types of tickets: regular tickets for the games and VIP tickets for access to exclusive activities. Johnaiker sells 20 regular tickets and 15 VIP tickets, earning $250. Ms. Kaminski sells 15 regular tickets and 10 VIP tickets, earning $170. If regular tickets cost $5 each and VIP tickets cost $10 each, what are the prices of the regular and VIP tickets?

• Regular Tickets 14$

  VIP Tickets 2$

• Regular Tickets 3$

  VIP Tickets 16$

• Regular Tickets 2$

  VIP Tickets 14$

• Regular Tickets 5$

  VIP Tickets 20$

Tags

CCSS.8.EE.C.8C

y=x+16

10x+8y=-88

• x=-12

  y=-4

• x=4

  y=12

• x=4

  y=-12

• x=-12

  y=4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4x=8y-52

5x-y=34

• x=9

  y=11

• x=-9

  y=11

• x=9

  y=-11

• No Solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

x=16-3y

4x+12y=96

• x=6

  y=18

• x=-6

  y=-18

• No Solution

• x=18

  y=6

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6