Systems of Equations

Random Trivia

100

What is the fastest bird in the world?

Peregrine Falcon

(They reach speeds up to 240 MPH when diving)

200

Which state has had the most serial killers?

New York

300

How many ferries does the department of transportation own in Seattle?

21 Ferries

400

Who was the 44th president of the United States?

Barack Obama

500

Who was the first president of the United States to be assassinated?

(Hint: the assassination happened 5 days after the civil war ended)

Abraham Lincoln

Solving by Substitution

100

Solve the systems of equations:

-3x + 4y = -2

y = -5

(-6, -5)

200

Solve the systems of equations:

-5x - 5y = 10

y = -4x -17

(-5, 3)

300

Solve the systems of equations:

y = -2x - 9

3x -6y = 9

(-3, -3)

400

Solve the systems of equations:

-8x - 5y = -24

-x + y = 10

(-2, 8)

500

Solve the systems of equations:

-8x + y = -7

16x - 2y = 14

Infinitely Many Solutions

Solving by Elimination

100

Solve the systems of equations:

14x + 2y = 26

-14x - 6y = -50

(1, 6)

200

Solve the systems of equations:

-3x - 5y = 2

3x + 5y = 7

No Solution

300

Solve the systems of equations:

-6x - 10y = 4

6x + 10y = 0

No Solution

400

Solve the systems of equations:

-3x - 24y = -66

3x + 4y = -14

(-10, 4)

500

Solve the systems of equations:

-15x + 6y = -36

8x - 6y = 22

(2, -1)

Number of Solutions

100

How many solutions would a system of linear equations have if the equations are parallel and different y-intercepts? 

Zero Solutions

200

How many solutions would a system of linear equations have if the equations are parallel and have the same y-intercept?

Infinite Solutions

300

Is there 1 solution, No solution, or Infinite solutions for the following question?

3x - y = 19

-3x + y = 10

No Solutions

400

How many solutions does the system have?

3y + 4x = 6

12y + 16x = 24

These are the same exact line, therefore they have

Infinite Solutions

500

How you tell if the following equations have one, no, or infinite solutions without solving the system?

6x - 14y = 31

6x - 87y = 56

One Solution

If we have different slope (-A/B), then the lines intersect. Therefore, one Solutions

Mix Review

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 is this form called?

y = mx + b

Slope Intercept Form

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 following System of Equations

-6y + 2 = -4x

y - 2 = x

First step, substitute the x into the top equation. 

(-5,-3)