Solve the equation
Equivalent Equations
Modeling
Slope and y-intercept
Could be anything, really
Potpourri
100
2x + 5 = 23
What is x = 9?
100
\text{Determine whether the equations are equivalent:}
5x + 4y = 20
and
5x = 20 - 4y
Equivalent
100
Your sister bought pencils at $0.39 each and a notebook at $1.19. Write an equation representing t, the total cost of the school supplies.
0.39p + 1.19 = t
or equivalent
100
The slope and y-intercept of
y = 3x - 12
m = 3
y-intercept: (0, -12)
100
How much water is left in the tank after 6 hours?
What is 110 gallons?
100
The Eagles are playing this team on Sunday, November 16
Who are the Detroit Lions?
200
The solution to
-m/2 + 7 = 21
What is m= -28?
200
\text{Determine whether the equations are equivalent:}
9x + 2y = 18
and
x = 2/9 y + 2
Not Equivalent
200
At a basketball game, Diego scored a total of 46 points. He scored some two-point shots and some three-point shots. Write an equation that represents the scenario.
2x + 3y = 46
or equivalent
200
3y + 4x = 60
m = -4/3
(0, 20)
200
To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side.
Will both moves work, just Elena's move, just Lin's move, or will neither work?
Only Elena's move will work.
Double points to the first team with an explanation on their boards of why Lin's move won't work.
200
This is the percent of water on Earth that is freshwater
What is
3%
?
300
6d + 1 = 15 - d
What is d = 2?
300
\text{Determine whether the equations are equivalent:}
6x + 5y = 30
and
y = -\frac{6}{5}x + 6
Equivalent
300
Andre’s coin jar contains 85 cents. There are no quarters or pennies in the jar, so the jar has all nickels, all dimes, or some of each. If n is the number of nickels and d is the number of dimes, write an equation that represents the situation.
.05n + .10d = .85
or equivalent
300
Clare went back to the store to get more almonds and dried figs and spent $108 this time. Almonds cost $6 a pound and dried figs cost $9 a pound. Clare's purchase can be represented by the equation 6x+9y=108.
Does the left or right graph represent the situation? 
Right
(it has negative slope)
300
Write an equation to represent this relationship between gallons and time
y = 200- 15x
or equivalent
300
This is the tallest building in Philadelphia
What is the Comcast Technology Center?
400
36 = 3(s-10)
What is s = 22?
400
\text{Determine whether the equations are equivalent:}
2w = 3v + 8
and
2w = 6v + 16
Not Equivalent
400
Han has $125 in his savings account. He continues to set aside $55 each week to add to his savings account. He saves money for w weeks for a total of d dollars. Write an equation that models the situation.
d = 55w + 125
or equivalent
400
The slope and y-intercept of
y = 2/3x
m = 2/3
(0,0)
400
5t - 4= t - 8
What is t=-1?
400
The oldest animal in the world was this type of creature
What is a clam?
500
x + 8 = 5x + 1 - 4x
No solutions
500
\text{Determine whether the equations are equivalent:}
2b = 9 - 4c
and
4c = 9 - 2b
Equivalent
500
Clare has a jar full of n nickels and d dimes worth $4.10.
Write an equation that represents this situation.
.05n + .10d = 4.10
or equivalent
500
The slope and y-intercept of
1.5x+4.5y=18
m = -1/3
(0,4)
500
The x-intercept of
1.5x+4.5y=18
(12,0)
500
Collectively, Philadelphia sports teams have won this many national championships
What is 11 or 21?