Monomials
What is a monomial?
An expression with exactly one term.
Solve: x³ · x⁵
x⁸
What does PEMDAS stand for?
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
What property is shown by a + b = b + a?
Commutative Property.
Simplify: x² · x⁴
x⁶
What is the coefficient of 7x³?
7
15a⁴b² ÷ 3a²b
5a²b
Which operation comes first: multiplication or addition?
Multiplication.
What property is shown by (a + b) + c = a + (b + c)?
Associative Property.
Simplify: y³ ÷ y²
y
What is the degree of 5x²y³?
5
(2x³y²)⁴
16x¹²y⁸
In what order should multiplication and division be performed?
From left to right.
What property is shown by a(b + c) = ab + ac?
Distributive Property.
Simplify: (x²)⁵
x¹⁰
Simplify: (3x²y)(4xy³)
12x³y⁴
When multiplying powers with the same base, what do you do with the exponents?
Add the exponents.
In what order should addition and subtraction be performed?
From left to right.
What property is shown by a + 0 = a?
Identity Property.
Simplify: z⁻³
1/z³
Simplify: (-2m³n)(5m²n⁴)(mn)
-10m⁶n⁶
When dividing powers with the same base, what do you do with the exponents?
Subtract the exponents.
Simplify: 2x³ · 3x² + (4x)² − 5x⁵ ÷ x³
6x⁵ + 11x²
What property is shown by a + (−a) = 0?
Inverse Property.
What is any nonzero number raised to the zero power?
1