Download Algebraic Expression- A mathematical phrase that consists of

Algebraic ExpressionA mathematical phrase that consists of variables, operational symbols, possibly numbers but
NO equal sign
Ex:
3+c
8m
y/4
p-4
c (a+b)
Associative Property for Addition- “Who’s Your Buddy?”
A math law that states that the terms in and addition expression stay in the same location but
the parenthesis can move locations without changing the value of the expression
Ex: (4 + 5) + 6 = 4 + (5 + 6)
Associative Property for Multiplication-“Who’s Your Buddy?”
A math law that states that the terms in a multiplication expression stay in the same location
but the parenthesis can move locations without changing the value of the expression
Ex: (4 x 5) x 6 = 4 x (5 x 6)
BaseThe repeated factor of a number written in exponential form
Ex: 3ᶾ = 3 x 3 x 3 base
CoefficientThe number part of a term that contains a variable
Ex: 3x + 4y coefficients
Commutative Property of Addition- “I wanna be first!”
Two terms can change location in an addition expression without changing the value of the
expressions
Ex: 5 + 66 = 66 + 5
a+v=v+a
Commutative Property of Multiplication- “I wanna be first!”
Two terms can change location in an multiplication expression without changing the value of
the expressions
Ex: 7t x 3 = 3 x 7t
4x5=5x4
Composite NumberA whole number greater than one with more than two factors
Ex: Factors of 12 = 1,2,3,4,6,12 Composite
Factors of 11 = 1, 11
Not Composite (Prime)
ConstantA term that contains only a number
Ex: 3x + 4y + 12 constant
Distributive Property- “Common Factors”Multiplying a number by a sum or difference is the same as multiplying that number by each
term in the sum or difference and then adding or subtracting the corresponding parts
Ex: 4 (3 + 7) = 4 (3) + 4 (7)
5 (b – f) = 5b – 5f
EquationA mathematical sentence that includes an equals sign to compare two expressions
Ex: 3 + 4 = 6 + 6
7a + 3 = 24
Equivalent ExpressionsTwo or more mathematical phrases that have the same value
Ex: 3(9) = 20 + 10 – 3
ExponentA number that shows how many times a base is used as a factor
Ex: 4ᶾ
exponent 4 • 4 • 4
ExpressionA math phrase that can include numbers, operations (+, -, x, ÷), or variables but NO equal sign
Ex: 4 + 3 8 – x
16 ÷v
2² + 4ᶾ - 5²
FactorsThe numbers being multiplied to give a product
Ex: 5 • 6 = 30 factors
8(12)
4b 7(b+3)
Greatest Common Factors (GCF)
The greatest number that you can multiply by for two or more numbers
Ex: Factors of 20 = 1, 2, 4, 5, 10, 20
12= 1, 2, 3, 4, 6, 12
24= 1, 2, 3, 4, 6, 8, 12, 24
GCF = 4
Identity Property for Addition- “I want to be me!”
The sum of 0 and any number is that number
Ex: 8 + 0 = 8
217 + 0 = 217
Identity Property for Multiplication- “I want to be me!”
The product of 0 and any number is that number
Ex: 8 • 1 = 8
217 x 1 = 217
Least Common Multiple LCMWhen skip counting two or more numbers, the LCM is the smallest number they have in
common
Ex: 8 = 8, 16, 24, 32, 40, 48 . . .
12= 12, 24, 36, 48, 60 . . .
LCM = 24
Numerical ExpressionA mathematical phrase that consists of numbers and operations ONLY (no variables, no equal
sign)
Ex: 18 ÷3
25 x 3 – 12 + 2 ÷ 3 + 3ᶾ
3 • 5²
Prime factorizationThe expression of the number as a product of its prime factors
Ex: 30 = 2 • 3 • 5
Prime NumberA whole number greater than one with exactly two factors, 1 and itself
Ex: 7 = 1, 7 Prime
8 = 1, 2, 4, 8 Not Prime (Composite)
PowerThe number expressed using an exponent
Ex: 3² and 3ᶾ are powers of 3
TermA number, a variable, or the product of a number and one or more variables
Ex: 3x + 4y + 12 Term 1 Term 2
Term 3
VariableA letter that represents an unknown number or value
Ex: y + 6 if y=e, then y + 6 has a value of 9
Zero Property of Multiplication “Zero, the Superhero”The product of 0 and any number or variable is 0
Ex: 36 • 0 = 0
y² • 0 = 0