Inequalities
I can label the following symbols:
Greater than
Less than
>
<
This is the difference between an equation and an expression
=
Making no more than 15 bucks, or making no less than 15 bucks?
No less than 15 bucks (means I would make more than 15 bucks)
This is my order of operations.
Exponents
Multiplication/Division
Addition/Subtraction
(Extra 100 if written out and not PEMDAS)
Count the terms:
2s + 3c - 9h + e + 21m - 4p + 2f + 13
8 terms
Each term is separated by addition or subtraction signs.
On a number line, a ray/arrow to the right represents _______, while a ray/arrow to the left represents _____
Greater than; lesser than
The word "Total" represents this type of variable
Dependent
If my focus is money, making 9 dollars an hour for 9 hours, or making 8 bucks an hour for 10 hours?
$9 an hour for 9 hours ($81) versus ($80)
This is the definition of perimeter.
The total distance around a shape
Write an equation to represent, and solve:
Mr. Schempf spent a total of 12 hours on his phone this past weekend. This is triple the normal.
3n=12
n = 4 hours
+100 points if they labeled.
Sort the words with the correct inequality symbol (knowing that the variable comes first):
over
does not exceed
shorter
at least
over = >
does not exceed = ≥
short = <
at least = ≤
When knowing what a variable is equal to, plugging in the number surrounded by parentheses.
y=3, plug in (3) wherever there is a y
When distributing: 9(x+3)
9x + 3
9x + 27
9x + 27
You MUST distribute to everything inside the parentheses.
1/4 to the 3rd power
1/64
1/4 x 1/4 x 1/4
Mr. Schempf bought a certain number of Arizona teas that each cost $1.05. Write an expression to show the total cost and find the cost of 2 cans to prove that your answer makes sense.
1.05t
1.05 (2) = $2.10
This is the difference between an open and closed dot on a number line.
Open dot means the number is not included, while a closed dot means the number is included.
When graphing, represent which variable goes on which axis
X-axis: independent variable
Y-axis: dependent variable
The product of 7 and the sum of a number and 5
(7 x n) + 5
7 x (n +5)
7 x (n +5)
You need to find the sum first before you multiply
Write in exponential form:
4x4x4x4x4x4x5x5x5
4^6 x 5^3
Mr. Schempf makes 12 bucks an hour working as a Young Sheldon impersonator. How many hours would he need to work in order to make at least $500?
42 hours
500=12h
500/12=41.67, meaning you need 42 complete hours
These are my inverse operation pairs, and this is why I use them:
Addition and subtraction
Multiplication and division
They are used to get a variable alone on one side of the equation/inequality.
7x - 3
Label the constant, coefficient, and variable
Variable: x
Constant: 3
Coefficient: 7
3x² when x=5
Is this expression equal to 225 or 75?
75!
You have to square 5 before multiplying it by 3.
Write the equation proportions involving percentages
Hint: x/100 = .....
Part/Total
x/100
x represents the percentage
These are three expectations Mr. Schempf has about ANET:
- Showing work on every problem
- Not leaving any problem blank/trying every problem
- Trying your best