Math Properties
Evaluating Expressions (PEMDAS)
Algebraic Verbal & Written Expressions
Relations of Sets (Domain & Range)
Function or No Function
100
The property that says a+b=b+a.
Commutative
100
Evaluate: 2+3⋅4.
14
100
Write in words: 5x.
Five times x
100
The set of all input values is called the ____.
Domain, Independent Variable, X values.
100
True/False: Every input in a function can have more than one output.
False
200
The property shown: 2(3+4)=2(3)+2(4).
Distributive
200
Evaluate: (5+3)⋅2.
16
200
Write in symbols: “The sum of a number and 7.”
x+7
200
The set of all output values is called the ____.
Range, Dependent Variable.
200
Does the set {(1,2),(2,3),(3,4)} represent a function?
Yes
300
The property that states (a+b)+c=a+(b+c).
Associative
300
If x=2, evaluate 3(x^2)+1
13
300
Write in words: 4y−9
Four times y minus nine
300
Find the domain of the set: {(1,2),(3,4),(5,6)}.
{1,3,5}
300
Does the set {(1,2),(1,3),(2,4)} represent a function?
No
400
Which property is shown:
multiplicative Inverse
400
If the function f(a,b)= ((a^2)−b)÷b, evaluate f(4, 2).
7
400
Translate: “The product of 3 and the sum of x and 2.”
3(x+2)
400
For the relation shown in the table:
x:1,2,3,4
y:5,6,7,8
What is the range?
{5,6,7,8}
400
The mapping diagram shows: 1→2,2→3,3→2.
Function or not? (Draw the oval mapping and label your ovals)
Function
500
A student says: “Since 2+0=2, I can drop the zero from any addition problem.” Which property justifies this?
Identity Property of Addition
500
Word Problem → A rectangle has length 2x+3 and width x−1. Find the area when x=4. Area is length * width.
33
500
Word Problem → “A gym charges a $25 joining fee plus $15 per month. Write an expression for the total cost after m months.”
Answer: 15m+2515m + 2515m+25
500
Word Problem → The relation shows students and their favorite sports: {(Amy,Soccer),(John,Football),(Maya,Soccer),(Chris,Basketball)}. What is the domain and what is the range?
Domain = {Amy, John, Maya, Chris},
Range = {Soccer, Football, Basketball}
500
Word Problem → A soda machine accepts $1, $5, and $10 bills. For each input, it gives you a soda. Is this relation a function? Why or why not?
Yes, it’s a function because each input ($1, $5, $10) has exactly one output (a soda).