Overview
Solving Systems: Graphing
Solving Systems: Substitution
Solving systems:
Elimination
Elimination
Linear equations
Holidays
100
What shape will every linear equation create when graphed ?
Straight Line
100
When should you use the graphing method to solve a system of linear equations?
when questions are written in slope-intercept form ...
aka when the equations are easy to graph or when Y is solved for
100
When should you use the substitution method to solve a system of linear equations?
when you already know the value of one variable ( ex: y=6)
100
2x + 3y = 8
2x + y = 2
x = -0.5
y = 3
100
What is the square root of 81?
9
100
This holiday celebration leads to 1.5 tons of confetti filling the streets of Times Square.
New Year's Eve
200
At least how many equations will be in a system of linear equations?
At least 2 equations will be in a system of linear equations.
200
What is the solution to the system of linear equations?
(0,2)
200
What is the solution (x,y) to the system of linear equations?
5x+2=y
x=2
(2,12)
200
5x - 10y = 20
2x + 10y = 15
x = 5
y = 0.5
200
Turn this equation from standard form to slope-intercept form: 6x+2y=24
y=12-3x or y=-3x+12
200
How many federal US holidays are there?
11! New Years Day, Birthday of Martin Luther King Jr., Washington's Birthday, Memorial Day, Juneteenth, Independence Day, Labor Day, Columbus Day, Veterans Day, Thanksgiving Day, and Christmas Day.
300
The ___________________ to a system of linear equations is the ____________ where the equations have values for x and y that make both equations true.
solution, point
300
What is the solution to the system of linear equations?
(-1,4)
300
What is the solution to the system?
y=7x-10
y=-3
(1,-3)
300
5x - 13y = -2
-5x + 13y = 5
no solution
300
State the slope and y-intercept: -5x+2.5y=10
m:2
y-intercept: 4
300
What is the winter solstice?
The shortest day of the year (December 21)
400
How many solutions can a system of linear equations have?
0, 1 or all
400
What is the solution to the system of linear equations?
No solutions
400
What is the solution to the system?
2x+5y=19
y=3x-3
(2, 3)
400
3x + y = 10
-3x - y = -10
infinity many solutions, any number combination will work.
400
Identify the slope and y-intercept
4x + y= 10
slope: -4
y-intercept: 10
400
How many reindeer pull Santa's sleigh?
8 Reindeers originally, 9 with Rudolph
500
Fill in the blanks:
The solution will be the point
( , ) where the two lines
________________
(x,y), intersect
500
( 3,-5)
500
What is the solution to the system?
5x-6y=-3
y=3x+7
(-3,-2)
500
9x - 6y = 54
3x + 4y = 36
x = 8
y = 3
500
Turn this fraction into a percentage: 3/4
75%
500
Name another religious/cultural holiday that is celebrated towards the middle or end of December.
Kwanzaa, Hanukkah, Diwali, or Chinese New Year, etc