A
B
C
D
E
100

What is the solution?

(-1,1)

100

Solve the systems of equations using substitution:

-3x + 4y = -2

y = -5

(-6, -5)

100

Solve the systems of equations using Elimination:

14x + 2y = 26

-14x - 6y = -50

(1, 6)

100

What strategy would you use?

14x + 2y = 26

-14x - 6y = -50

elimination

100

Is the given point a solution to the system of equations? 

Point:  (2,6)

x + y = 8

3x - y = 0

Yes

200

How many solutions are there?

No Solutions

200

Solve the systems of equations using substitution:

-5x - 5y = 10

y = -4x -17

(-5, 3)

200

Solve the systems of equations using Elimination:

-3x - 5y = 2

3x + 5y = 7

No Solution

200

What strategy would you use?

-5x - 5y = 10

y = -4x -17

substitution

200

Is the given point a solution to the system of equations?

Point: (1/2, -2)

6x + 5y = -7

2x - 4y = -8

No

300

Solve Using Graphing:

y = 5/3x + 2

y = -3


300

Solve the systems of equations using substitution:

y = -2x - 9

3x -6y = 9

(-3, -3)

300

Solve the systems of equations using Elimination:

-6x - 10y = 4

6x + 10y = 0

No Solution

300

Is there 1 solution, No solution, or Infinite solutions for the system of linear equations below?

3x - y = 19

-3x + y = 10

No Solutions

300

You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?

35 hotdogs,  52 sodas


400

How many solutions are there?

Infinitely Many Solutions

400

Solve the systems of equations using substitution:

-8x - 5y = -24

-x + y = 10

(-2, 8)

400

Solve the systems of equations using Elimination:

-3x - 24y = -66

3x + 4y = -14

(-10, 4)

400

The difference of two numbers is 3. Their sum is 13. Find the numbers.

5 and 8

400

Determine which method you would use to solve the following system of equations.  Explain your reasoning.

0.3x - 0.2y = -2.1

0.6x + 1.3y = 0.9


Elimination - the equations are already in standard form. 

500

Solve the systems of linear equations by graphing:

500

Solve the systems of equations using substitution:

-8x + y = -7

16x - 2y = 14

Infinitely Many Solutions

500

Solve the systems of equations using Elimination:

-15x + 6y = -36

8x - 6y = 22

(2, -1)

500

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Senior Citizen: $8

Chid ticket: $14

500

Which method would you use to solve the system of equations?  Explain your reasoning.

-6y + 2 = -4x

y - 2 = x

Substitution - the second equation is already solved for x. 

M
e
n
u