Graphing
How do you know a system of equations has infinite solutions by graphing?
The lines are on top of each other!
y=-2
4x - 3y = 18
(3, -2)
Identify the opposites in this system of equations.
4x - 3y =27
-2x+ 3y = -21
-3y and 3y will cancel out because the coefficents are opposites
You went downtown with your family and decided to rent segways to roam around town. It costs $25 to rent a segway and and additional $ 0.10 per minute you are riding it.
a) What is the independent and dependent variable?
b) What is the total cost if you ride 0 minutes?
a) Independent - number of minutes, Dependent- total cost in dollars
b) $25
How many siblings does Ms. Everett have?
2
Solve the systems by graphing. You must have a graph drawn with 4 distinct points.
f(x) = 3x - 4
g(x) = -2x+1
(1,-1)
y = 6x - 21
y= 3(2x - 7)
Infinite Solutions
Write an example of a system of equations that would most easily be solved using elimination.
Variables are lined up so that we can easily add like terms.
You sell teddy bears and dolls. A total of 33 toys were sold earning $400 in sales for your toy store. Each teddy bear cost $8 and each doll cost $12.
Write a system of equations that could be used to determine the number of toys the business sold (DO NOT SOLVE).
x + y = 33
8x + 12 y = 400
Which famous artist painted the Mona Lisa?
Leanoardo da Vinci
Draw a graph of a system of equations with no solutions.
Write an example of a system of equations that would most easily be solved using substitution.
one equation has an isolated variable
-2x - 5y = -1
2x + 10y = 10
(-4, 1.8)
What is the rate of change in this problem?
You went downtown with your family and decided to rent segways to roam around town. It costs $25 to rent a segway and the $ 0.10 per minute you are riding it.
$0.10 per minute
Glinda and Elphaba
Graph the equations and state the solution.
f(x) = 20
g(x) = -2x +30
(5,20)
When solving a system of equations my final answer should always be written as .....
an ordered pair
12x - 10y = 30
10y -12x = 30
No Solutions
You love animals so you applied for a job at the Zoo. You would make $10 an hour with a $50 signing at the start.
Create a linear equation to model the situation described.
y = 10x +50
Which German car brand is known for its logo of a circle with four rings?
Audi
Write two different equations that both have a solution at :
(0, -4)
Infinite possible answers.... here are some that could work!
y = -4
y = 2x - 4
y + 4 = 3 (x -0)
y= 20 - 2x
6x -5y =12
(7,6)
-7x - 3y = -5
5x + 6y = 19
(-1, 4)
Millie has found doggy day cares to watch her dog. Fuzzy Friends charges $15 per hour and charges a flat fee of $45. Doggy Dojo charges $22 per and hour charges a flat fee of $30.
When would the cost be the same for both doggy day cares? (Hint: Answer should be in hours)
About 2.14 hours
What country has the largest population?
India