Hit the Slopes
Questions of Epic Proportions
Questions of Epic Non-proportions
X Marks the Spot
How Many Solutions?
100
Find the slope of the line
2/5
100
Write an equation in y = mx form to represent the relationship.
y = 6x
Each ticket costs $6
100
Write an equation of the line in the form y = mx + b
y = -3/2x + 4
100
Solve for x
6(x + 5) - 3 = 2r + 7
x = -5
100
Determine whether the equation has one solution, no solution, or infinitely many solutions
5(x+4)=2(2.5x-3)+12
No solution
200
Find the slope of the line
1/5
200
Write an equation in y = mx to represent the relationship in the table
y = 0.166x
An object's weight on the moon is 0.166 times its weight on Earth
200
Write an equation of the line in the form y = mx + b
y = 3x + 2
200
Solve for x
-x + 3(1 + x) = 3(x + 2)
x = -3
200
Determine whether the equation has one solution, no solution, or infinitely many solutions
-12x+15=2(-6x+9)=-3
Infinitely many solutions
300
Find and interpret the slope
500/3 or 166.67
The website makes about $167 per day
300
Write an equation to represent the relationship in the graph. If 25 gallons of water flowed from the faucet, how long was it on?
y = 2.5x
10 minutes
300
Membership for a robotics club is $15 per month plus a registration fee of $35. Write an equation in slope-intercept form to represent the total cost y after any number of months x
y = 15x + 35
300
Solve for x
7 + 2/5(5x-10)=4/5(x+5)+1/5x
x = 1
300
Determine whether the equation has one solution, no solution, or infinitely many solutions
3(x+2)-2x=1/7(-7x+42)
x = 0
one solution
400
A gardener plants 16 tulip bulbs in 4 square feet. If the number of tulip bulbs y is proportional to the area in square feet x, find and interpret the slope representing the relationship
4
There are 4 tulip bulbs planted per square foot of garden
400
Write an equation to represent the relationship in the graph. How many levels are in the garage if it has 6 levels?
y =65x
390 spaces
400
Write an equation in y = mx + b to represent the relationship in the table.
y = -8x + 2
400
Solve for x
1/4x+3/4(x-8)=11+1/4(12x+4)
x = -9
400
2x - (9x + 4) = ax - b
Find the values of a and b so that the equation has infinitely many solutions
a = -7
b = 4
500
A manufacturer makes a lotion that contains 20 drops of lavender oil and 8 teaspoons of jojoba oil. If the amount of lavender oil y is proportional to the amount of jojoba x, what is the slope of this relationship? What does this mean?
5/2
2.5 drops of lavender oil for every teaspoon of jojoba oil
500
A pet groomer uses 26.25 ounces of shampoo when 7 dogs need to be groomed. Write an equation in the form y = mx then determine how much shampoo is used if 12 dogs are groomed.
y = 3.75x
45 ounces
500
The table shows the number of bracelets Ella makes after learning to make the first one. Write an equation in the form y = mx + b
How many bracelets does she make in 5 hours?
y = 7x + 1
36 bracelets
500
A group of 6 friends went ice-skating. They each paid the same admission fee plus $2.50 for hot chocolate. Another group of 5 friends went ice-skating at a different rink and paid 1.5 times as much for admission as the first group plus $2.25 each for hot chocolate. The two groups paid the same total amount. What did each person in the first group pay for admission?
$2.50
500
5x+12+4x-x-7=ag+b
Find the values of a and b so the equation has no solutions
a = 8
b = anything except 5