Equations
The point at which two equations in a system cross
What is the solution?
The solution to 14x + 3 < 8x + 3
What is x < 0 ?
This method is used to determine whether a given relation is a function or not from a graph by drawing a vertical line.
What is the vertical line test?
What are Mr. Pettit's 3 keys to living a successful and most enjoyable life?
1. Morality- (strong set of convictions and beliefs - high set of morals)
2. Service - (serving your fellow humans in a worthwhile and helpful capacity)
3. Gratitude - (be thankful for the people around you and the things you do have - AND the things you envision receiving)
The volume of dry goods, like apples or peaches, can be measured using bushels, pecks, and quarts. A bushel contains 4 pecks, and a peck contains 8 quarts.
What is the relationship between number of bushels, b, and the number of quarts, q?
32q = b
The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold, what system of equations represents the constraints in this situation?
s + h = 40
18s + 14h = 700
The soccer team is selling bags of popcorn for $3 each and cups of lemonade for $2 each. To make a profit, they must collect a total of more than $120. Write an inequality to represent the number of bags of popcorn sold, p, and the number of cups of lemonade sold, l, in order to make a profit.
3p + 2c > 120
A relationship where each input has exactly one output
What is a function?
What is the single most important skill you can possess and always work on (no matter what age)?
Listening
The equation 3a + 0.1n = 123 solved for n.
What is n = 1230-30a ?
The solution to
-4x+3y=23
x-y=-7
What is (-2, 5)?
This year, students in the 9th grade are collecting dimes and quarters for a school fundraiser. They are trying to collect more money than the students who were in the 9th grade last year. The students in 9th grade last year collected $143.88.
Using d to represent the number of dimes collected and q to represent the number of quarters, write an inequality for this problem.
0.25q + 0.1d > 143.88
Functions f(x) and g(x) are defined by these equations.
f(x) = 80 - 15x. g(x) = 25 + 10x
Which function has a greater value when x is 2.5?
g(x)
What are Mr. Pettit's two favorite types of food?
The equation 2x+4y-31=123 solved for x
What is x=77-2y?
The solution to this system of equations:
3𝑥+𝑦=5
2𝑥−𝑦=0
(1, 2)
Elena is considering buying bracelets and necklaces as gifts for her friends. Bracelets cost $3, and necklaces cost $5. She can spend no more than $30 on the gifts. Elena needs at least 7 gift items. Write a system of inequalities that represents the number of gift items that Elena needs.
3b+5n <= 30
b + n >= 7
Function f is defined by f(x) = x2
Explain why f(2) + f(3) is not equal to f(5).
f(2) = 4 f(3) = 9 f(5) = 25
4 + 9 != 25
What animal did Australian soldiers fight in 1932?
Emus
A donut shop made 12 dozen donuts to give to a school’s math club.
What expression represents how many donuts each student would get if the donuts were equally distributed and there were x students in math club?
12 * (12/x)
The solution to this system of equations:
2x-4y=10
x+5y=40
What is (15,5)?
Jada has p pennies and n nickels that add up to more than 40 cents. She has fewer than 20 coins altogether. Write a system of inequalities that represents how many pennies and nickels that Jada could have.
p + 5n > 40
p + n < 20
The domain and range of f(x) = x2
Range: all positive values
What percentage of the world is allergic to cats?
10% - "How cat-a-strophic"