Substitution Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

For questions 9 & 10: One group of friends purchased 10 hot dogs and 5 soft drinks at a cost of $12.50. A second group bought 7 hot dogs and 4 soft drinks at a cost of $9.00. Let x = cost of a hot dog Let y = cost of a soft drink Write a system of linear equations.

Tags

CCSS.8.EE.C.8C

One group of friends purchased 10 hot dogs and 5 soft drinks at a cost of $12.50. A second group bought 7 hot dogs and 4 soft drinks at a cost of $9.00.

Let x = cost of a hot dog

Let y = cost of a soft drink

What is the cost of a single hot dog?

• $0.50

• $1.00

• $1.50

• $0.75

Tags

CCSS.8.EE.C.8C

The school that Nick goes to is selling tickets to their annual talent show. On the first day of ticket sales, they sold 12 adult tickets and 15 children tickets and made $132. On the second day of ticket sales, they sold 8 adult tickets and 11 children tickets for $92. Let x = cost of an adult ticket Let y = cost of a child ticket Write a system of linear equations.

Tags

CCSS.8.EE.C.8C

Solve using substitution or elimination. −4x − 2y = −12 4x + 8y = −24

• (5,-5)

• (6,-6)

• No solution

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Solve the following system of equations: 5x - 4y = 3 and 2x + 3y = 8

• x = 4, y = 3

• x = 2, y = 1

• x = 3, y = 2

• x = 1, y = 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

29x+37y=103 and 37x+29y = 95 then

• x=1, y=2

• x=2, y=1

• x=3, y=2

• x=2, y=3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:
x + y = 4
-5x - 6y = -18

• (6, -2)

• (-6, 10)

• (2, 2)

• (-2, 6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7. Solve the system of linear equations: 2x + 5y = 13 and 3x - 2y = 4

• x = 4, y = 4

• x = 3, y = 1

• x = 2, y = 3

• x = 5, y = 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

10. Solve the following system of equations: 5x - 4y = 3 and 2x + 3y = 8

• x = 4, y = 3

• x = 2, y = 1

• x = 3, y = 2

• x = 1, y = 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6