Properties of Operations
What property is represented below?
5+4=4+5
Commutative Property of Addition
What is a variable?
A letter that represents a number
What are the following signs for inequalities?
>,<,≥,≤
Greater than
Less than
Greater than or equal to
Less than or equal to
What is a rational number?
Any number that can be written as a fraction or decimal.
What does PEMDAS stand for?
Parentheses, exponents, multiplication and division, addition and subtraction.
What property is represented below?
a+0=a
Identity Property of Addition
To evaluate, substitute the value for the variable and calculate.
Number Line representation
Which symbol will have an open circle and which symbol will have a closed circle?
Closed is less than or equal to and greater than or equal to
Which numbers are to the left and to the right of zero on the number line?
Using: Positive and or Negative
Positive is right
Negative is left
Multiplication and division are equivalent in terms of when you complete these operations as well as addition and subtraction are equivalent on when to complete. What do you have to remember though when solving these?
You work from left to right if multiplication and division is left.
You work from left to right if addition and subtraction are left.
What property is represented below?
5+(6+4)=(5+6)+4
Associative Property of Addition
If x=4, evaluate x+7
4+7=11
Represent the inequality
Tanner spent more than $24.
*Define the variable
x>24
What is the opposite of a?
-a
Evaluate
4 + 2^3 (6 - 2)
4+2^3(4)
4+8(4)
4+32
36
What property is represented below?
4(5-2)=4(5)-4(2)
Distributive Property of Subtraction
If x = 5 and y=2
4x+3-y=
4(5)+3-2
20+3-2
23-2
21
Represent the inequality
I have to make 24 donuts before tomorrow. I am making both plain and chocolate. Chocolate icing is everyone's favorite, so I have take make at least 12 of the chocolate ones.
*Define the variable
x≥12
The temperature at noon was 5 degrees celcius. By midnight, it dropped 12 degrees celcius. What is the temperature at midnight? What does 0 represent in this situation?
-7 Degrees
0 degrees Celsius is representing freezing point of water in this situation.
Evaluate
15 + 5 x 12 - 9
15+60-9
75-9
66
What property is represented below?
a+(-a)=0
Inverse Property of Addition
Simplify the following expression using order of operations
(Do Not Solve)
3(x + 4) + 2x
3x+12+2x=
5x+12
Write an inequality to represent:
"The number of tickets sold, t, must be at least 50."
t≥50
What is the opposite of the opposite of a?
a
Evaluate
(33 - 5 ) ÷ 2 + 3^2
28/2+3^2
28/2+9
14+9
23