Knowledge
Graphing
Substitution
Elimination
SLOPE
100

Graphing and Substitution and Elimination

What is Three ways to solve system of equations

100
get both equations in y = mx + b (slope intercept form)
What is the first step to solving systems of equations by graphing?
100
The first step in Solving System of Equations with Substitution.
Is y or x equal to something already when looking at your system of equations?
100

The equations 5x + 2y = 10 and -5x - 2y = 3 when solved with elimination gives you ____________ 0+0 = 13

What is No Solution?

100

Slope Intercept Formula of a line

What is y = mx + b

200

No Solution

What if the system of equations is parallel lines?

200
Get the SLOPE and Y-Intercept of each line
What is the second step in solving by graphing systems of equations
200
Show the next step in substitution if you have y = 5x - 7 and -3x - 2y = -12
What is -3x - 2(5x - 7) = -12
200
Two equations 2x + 6y = 18 and -2x -6y = -18 when solved with elimination give you 0=0
What is an identity and has infinite solutions?
200

RISE over RUN (Rise/Run)

What is Slope?

300

Lines that are on top of each other in system of equations

What has Infinite Solutions?

300

m = 2 and (0, 1)

What is the Slope and Y-Intercept of y = 2x + 1

300

Get one ready for substitution 2y + 3x = 10 and x + y = 2

What is y = -x + 2

300
Multiply by what for the equations 4y + 3x = 12 and 2y + 4x = 8
What is -2
300

calculate slope with two points (3,5) and (8, 17)

What is 12/5?

400

No Solution and Infinite Solutions and an Ordered Pair

What is three answers you could get when solving system of equations?

400

If slope is the same and y-intercepts are different

What is the system of equations for parallel lines

400

10y + 2 + 2y = 14 simplfy

What is y = 1? combine like terms 12y = 14 - 2 then 12y = 12 then y = 1

400
3x + 3y = 27 and x - 3y = -11 when using elimination gives you x = 4, what variable was eliminated?
What is y?
400

Slope = 0

What is a horizontal line?

500

Ax + By = C

What is Standard Form?

500

The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one student ticket?

What is an 8 dollar senior ticket and a $14 dollar student ticket?

500

Maricella has a bag containing 35 nickels and quarters. The total value of these coins is $2.75. How many nickels will you have? 

What is 30 nickels?

500

Solve by Elimination 

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?

What is (35,52)

500

Slope = Undefined

What is a vertical line?

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