Write an Equation!
Asa is 6 years younger than his older sister Dani. Write an equation to represent Asa's age.
WHAT IS
a=d-6
(Variables may vary)
Use Elimination to solve:
4y-6x=20
6x-3y=15
What is - rearrange one of the equations so that the variables are stacked on top of each other.
y=4x-9
y=x-3
WHAT IS THE EQUAL VALUES METHOD?
y=8x-3
y=-x+6
WHAT IS (1,5)?
x+y=12
2x+y=16
(8,4)?
WHAT IS NO?
There are 10 less glazed donuts than there are cherry filled donuts. Write an expression to represent the amount of glazed donuts.
WHAT IS
g=c-10
(Variables may vary)
Use Substitution to solve:
x+7y=0
2x-8y=22
What is - subtract 7y from both sides of the first equation?
4x+y=2
x-y=3
WHAT IS ELIMINATION?
y=x+2
x=-3
WHAT IS (-3,-1)?
y=-3x+4
y=3x-2
(1,1)?
WHAT IS YES?
The number of red rose bushes in a garden is twice the number of pink rose bushes. There is a total of 9 rose bushes in the garden. Write 2 equations to represent the scenario.
WHAT IS
p=2r
p+r=9
(Variables may vary)
Use Elimination to solve:
x-y=3
7x-y=-3
What is - multiply or divide one of the equations by -1?
x=4-2y
3x-2y=4
WHAT IS SUBSTITUTION?
x-y=11
3x+10y=-6
WHAT IS (8,-3)?
-x-y=-5
2x-y=1
(2,-3)?
WHAT IS NO?
At the end of the year, the soccer team had a pizza party! There was 1 more cheese pizza, than three times the number of pepperoni pizzas. There was a total of 13 pizzas ordered for the party. Write one equation to represent the total number of pizzas.
WHAT IS
p + (3p+1) = 13
(Variables may vary)
Use Elimination to solve:
4x+2y=10
x-y=13
What is - multiply the second equation by 2?
6x-12y=24
-4-6y=x
WHAT IS SUBSTITUTION?
3x+y=1
4x+y=2
WHAT IS (1,-2)?
4x+y=6
y=10-5x
(4,-10)?
WHAT IS YES?
Nadine is working at a coffee shop. She has sold a total of 24 muffins and donuts this morning. She has made a total of $34 this morning, donuts cost $2 and muffins cost $1.
Write TWO equations to represent this scenario.
WHAT IS
m+d=24
2d+m=34
(Variables may vary)
Use Elimination to solve:
x+2y=1
3x+5y=8
What is - multiply the first equation by -3?
-8x+2y=-40
-2y-2x=10
WHAT IS ELIMINATION?
3x-y=7
y=3x-2
WHAT IS NO SOLUTION?
BONUS POINTS: WHAT DOES THIS MEAN ABOUT THE LINES?
-x-y=-16
x+y=16
NO SOLUTION!
WHAT IS NO?
BONUS:
WHAT IS THE CORRECT SOLUTION?