Systems Of Linear Equations

Inequalities

100

What type of line would this equation have?

y<3x+5

Dashed

200

Where would we shade with this equation? 

y>4x-5

Above the line

300

Is the intersection of a dashed and a solid line a solution to the inequality?

No, cannot be on dashed line

400

When you divide an inequality by a negative what should you do?

Flip the inequality sign

Solve by Substitution

100

Solve the systems of equations using substitution:

-3x + 4y = -2

y = -5

(-6, -5)

200

Solve the systems of equations using substitution:

-5x - 5y = 10

y = -4x -17

(-5, 3)

300

Solve the systems of equations using substitution:

y = -2x - 9

3x -6y = 9

(-3, -3)

400

Solve the systems of equations using substitution:

-8x - 5y = -24

-x + y = 10

(-2, 8)

500

Solve the systems of equations using substitution:

-8x + y = -7

16x - 2y = 14

Infinitely Many Solutions

Solve by Elimination

100

Solve the systems of equations using Elimination:

14x + 2y = 26

-14x - 6y = -50

(1, 6)

200

Solve the systems of equations using Elimination:

-3x - 5y = 2

3x + 5y = 7

No Solution

300

Solve the systems of equations using Elimination:

-6x - 10y = 4

6x + 10y = 0

No Solution

400

Solve the systems of equations using Elimination:

-3x - 24y = -66

3x + 4y = -14

(-10, 4)

500

Solve the systems of equations using Elimination:

-15x + 6y = -36

8x - 6y = 22

(2, -1)

Suprise

100

What strategy would you use?

14x + 2y = 26

-14x - 6y = -50

elimination

200

What strategy would you use?

-5x - 5y = 10

y = -4x -17

substitution

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

400

What college did Ms. Lamp go to?

Baker University

500

What sport did Ms. Lamp play in high school?

Golf

Misc

100

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

Point:  (2,6)

x + y = 8

3x - y = 0

Yes

200

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

Point: (1/2, -2)

6x + 5y = -7

2x - 4y = -8

No

300

What did Ms. Lamp want to be growing up? (Hint the answer is not a teacher)

Astronaut

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

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.