Order of Operations (PEMDAS)
What does PEMDAS stand for?
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
Name the property: a+b=b+a
Commutative Property of Addition
Simplify: x3 × x2
x5
What is a monomial?
An expression with one term (no addition or subtraction)
What is a binomial?
An expression with exactly two terms
Simplify: 8+12÷4
11
Name the property: (a+b)+c=a+(b+c)
Associative Property of Addition
Simplify: y5 ÷ y2
y3
Simplify: (3x2y)(4xy3)
12x3y4
Add: (3x2 + 5x) + (2x2 - 7x)
5x2 - 2x
Simplify: (3 + 2)2 -5
20
Which property is shown? a(b+c)=ab+ac
Distributive Property
What is a0, when a≠0
1
Simplify: 15a4b2 ÷ 3a2b
5a2b
Multiply using FOIL: (x+2)(x+3)
x2 + 5x + 6
True or False: Multiplication always comes before division in PEMDAS.
False (they are done left to right)
Give the identity property for multiplication.
a×1=a
Simplify: (m3)4
m12
Simplify: (2x3y2)4
A: 16x12y816x^{12}y^816x12y8
16x12y8
Expand using special products: (a+b)2
a2 + 2ab + b2
Simplify: (-3)2 + 4 × 2 - 10
7
Which property justifies this step? 7+(−7)=0
Inverse Property of Addition
Simplify: x-3
1/x3
Classify: 2y4 - y2 + 3
Polynomial (trinomial)
Multiply using FOIL: (2x+3)(x−4)
2x2 − 5x − 12