Orders of Operation
What is the name of the pneumonic that helps us remember the Order of Operations
PEMDAS
What is the name of this property?
a+b=b+a and a×b=b×a
Commutative Property
Increasing the temperature of a compound inside a sealed container increases the pressure inside a sealed container.
Independent: Temperature
Dependent: Pressure
"It is a relationship between inputs and outputs where there is exactly one output for each input"
A function
What is the notation of the equation below?
f(x)=2x+4
Function Notation
Evaluate the Expression:
92
81
What is the name of this property?
(a+b)+c=a+(b+c) and (ab)c=a(bc)
Associative Property
What is the Domain of a relation?
The x-coordinates of the relation
What is the name of the test that determine if a graph is a function or not?
The Vertical Line Test
Rewrite the following equation into function notation.
y=7x+9
f(x)=7x+9
18 ÷ 9 + 2 × 5
12
What is the name of this property?
a(b+c)=ab+ac
Distributive Property
What is the Range of a relation?
It is the y-coordinates of the relation.
Is this relation a function? Explain your answer
{(2,6), (5,7), (6,9), (6, 10)
It is not a function because the input 6 has two outputs, which are 9 and 10.
If f(x)=x2+2x+5, then what is f(5)?
40
Evaluate the Expression:
108÷[3(9+32)]
2
What are 2 and -2 under the operation of addition?
Inverses
What is the Domain and Range in the following ordered pairs?
{(4,3), (-2,2), (5,-6)}
Domain: {4,-2,5}
Range {3,2,-6}
Is this graph a function? Explain your answer.
Yes it is a function because it passes the vertical line test.
28
Evaluate the Expression:
((1+6)9)÷(52-4)
3
What is the number 1 under the operation of multiplication?
Identity
Name one of the four representations relations can be expressed as.
Ordered Pairs, Table, Graph, and Mapping
Is this relation a function? Explain your answer.
Yes it is a function.
If h(x)=2x3+5x2+8x+10, what is h(a)?
2a3+5a2+8a+10