Word Problems
Equations
Tables and Graphs
Comparisons
Equations/Constant
Properties
100
Reilly sends 45 texts in 15 minutes.
How many texts does Reilly send per minute?
He sends 3 e-mails per minute.
100
Roxie charges $12 to hold Carl. Write an equation that represents Roxie's earnings.
y = 12x
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
Which property is shown in the problem below?
17 + 0 = 17
Zero/Identity Property
Any number plus zero will keep its identity.
200
Viv earns $640 in a 40-hour work week.
What is Viv's hourly rate of pay?
Viv earns $16 per hour.
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
What is the generic equation for a proportional relationship? (using only variables!)
y = kx
200
What is the value of:
5 (15 - 4)
15
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 if the coordinate (1, 7) is part of the relationship?
k = 7
300
In the __________ property, you multiply whatever is OUTSIDE your parentheses to everything INSIDE your parentheses.
Distributive
400
Danielle bought 4 horses for $3,504. How much does 1 horse cost?
$876
400
Ricky loves go-carts.
The equation y = 25x represents the go-cart track speed limit, in miles per hour.
How long did Ricky drive go-carts if he drove 140 miles total at the speed limit?
Ricky drove 5.6 hours.
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
Which has the larger constant of proportionality? Explain.
Hannah ran 10 laps in 15 minutes.
Michael ran 3 laps in 6 minutes.
Michael!
2 is greater than 1.5.
400
What is the constant of proportionality if the equation is y = 8.375x
k = 8.375
400
Which property is shown in the problem below?
5 + 3 = 3 + 5
Commutative (same numbers, different order)
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
Asher wrote the equation d = 3.5t + 12 where t represents time in minutes and d represents the distance in miles.
Did Asher write a proportional relationship?
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
Which property is shown in the problem below?
(6 + 9) + 3 = 6 + (9 + 3)
Associative (same numbers, different groups)