Word Problems
Equations
Tables and Graphs
Comparisons
Equations/Constant
Two-Step Equations
100
Reilly sends 45 texts in 15 minutes.
How many texts does Reilly send per minute?
He sends 3 e-mails per minute.
100
Daily Double!!!!
Your math teacher's favorite number is....
What is 12?
100
Benjamin sells tickets at an amusement park.
Does the number of tickets he sells and the cost make a proportional relationship?
YES!
100
Which graph is growing at a faster rate?
Line a
100
Every 225 hours, Ryland produces
2250 basketballs with the machine he runs. How many basketballs does he produce per hour?
10 basketballs per hour
100
Solve: 3x - 4 = 11
What is 5?
200
The ratio of fans to doors in the classroom is...
*Be careful! Look around the room before answering!*
3:2 or 3/2
200
Kaydee speed reads at reads 27 pages in 9 minutes.
Write an equation for this relationship.
y = 3x
200
Joshua collected the temperature in celsius once a month for 4 months. Madison collected the amount of ice cream sold on those same days.
Does their table represent a proportional relationship?
NO!
200
Kylee wrote the equation y = 7x and Olivia wrote the equation y = 5.5x.
Which relationship has the greater constant of proportionality?
Kylee's: y = 7x
200
Chloe makes $30 from working 2 hours at the local coffee shop. Write an equation y = kx where k is the C.O.P (unit rate) to describe how much money Chloe earns in x hours.
y = 15x
200
What is the value of x?
5 (15 - x) = 55
What is 4?
300
The helicopter that Andrew is flying has a propeller that spins 2400 revolutions in 4 minutes.
What is the constant of proportionality(k) in this relationship?
600 revolutions per minute.
300
Kaden rode his bike at a constant speed. He rode 1 mile every 4.5 minutes.
Write an equation to represent this relationship.
y=4.5x
300
Aubrey decided to quiz the class. She asked them, "A graph represents a proportional relationship if it has what TWO characteristics?"
1.
2.
1. It is a straight line
2. It passes through the origin, (0, 0)
300
April went to Winco and wrote an equation to represent the relationship between pounds of bananas and the total cost. The equation is y = 1.5x
William went to Walmart to investigate the same thing and recorded this table below:
Which relationship has the greater constant of proportionality?
April's equation has the greater constant of proportionality because 1.5 is greater than 1.25.
300
What is the constant of proportionality of the equation y=1/5x?
What is 1/5?
300
***Daily Double ***
Solve:
5(2x - 1) = 20
x = 2.5
400
Danielle bought 4 horses for $3,504. How much does 1 horse cost?
$876
400
Identify the constant of proportionality in this equation: y=3x
What is 3?
400
Gaige and Kasen were experimenting with the weight of objects on Earth compared to the moon. Kasen found the weight of 4 objects on Earth and Gaige found the weight of the same 4 objects on the moon.
Do their weights represent a proportional relationship?
YES!
400
****Daily double****
The number of days in Hanukkah
What is 8?
400
What is the constant of proportionality if the equation is y = 8.375x
k = 8.375
400
Solve: 3x + 16 = 10
What is -2?
500
Annie sells 15 apples for $8.25 at the farmer's market.
How much would 1 apple cost?
1 apple would cost $0.55.
500
When BrookLynn babysits she charges $5.50 per hour.
When Alayna babysits she charges $3 per hour.
Write TWO equations to represent each girl's earnings.
BrookLynn: y= 5.50x
Alayna: y = 3x
500
A pizza shop sells medium pizzas for $12.00 each, plus $1.50 for each topping. Is this relationship proportional?
NO
500
Which relationship has the greater constant of proportionality? The table or the graph.
Sammy drove 60 miles in two hours.
Shannon drove 30 miles per hour.
They are the same! Both constants are 30.
500
Marissa writes 4 equations.
Which equations did she write that represent a proportional relationship?
A. y = 2x + 3
B. y = 4x + 0
C. y = 5.4x
D. y = 2/x
B and C
500
Solve: -2x + 18 = 16
What is 1?