Module 3- Stats WGU
elementary operations - ANS addition
subtraction
multiplication
division
constants - ANS a number with a fixed value
all real numbers
arithmetic expression - ANS a string of numbers connected by elementary operations
4+2+5-8
4,2,5,8= constants
+, +, -= operations
anything with a letter is - ANS not a constant
variable - ANS X
symbol that represents or holds the place of a numeric value
coefficients - ANS a number by which a variable is being multiplied.
they are written in FRONT
16x= 16 is the coefficient and x is the variable
term - ANS can be many things
can be a single constant (5)
a single variable (x)
can be any number of constants, variables, multiplication, exponents
example- 15ab^2
15xy^2 is equal to - ANS 15 x X x y x y
terms are separated by - ANS separated by either addition, subtraction, or division operations
x2 - 3x
2 terms
algebraic expression - ANS is a string of terms connected by division, addition, and subtraction.
writing algebraic expressions - ANS write constants at the end of your expression
, 6x+11
y3−51
abc+5
x+8−−√
Write the terms with the largest exponents first in your expression.
x3−8b2
Always write expressions in descending order of exponent value with constants at the end of the
expression. Here are some examples:
y3+4x−51
c2+abc+5
x3−x+8−−√
inverse operations - ANS two operations are considered this if they undo one another
subtraction is the inverse of addition
division is the inverse of multiplication
the degree - ANS refers to the LARGEST EXPONENT
12= 0 DEGREE
7a= 1 DEGREE
x ^2= 2 DEGREE
Names of expressions based on their degree - ANS An expression of degree 0 is known as a
constant*
An expression of degree 1 is known as linear*
An expression of degree 2 is known as quadratic*
An expression of degree 3 is known as cubic
an exponent of 0 means - ANS 1
7^0= 1
−5A+5A - ANS 0
combining terms in long expressions - ANS step 1. identify like terms
2. move the like terms next to one another
3. add of subtract coefficients
non linear equations - ANS equations containing exponents larger than 1 and sqaure roots
b2=2
c=d−−√
7=D22
elementary operations - ANS addition
subtraction
multiplication
division
constants - ANS a number with a fixed value
all real numbers
arithmetic expression - ANS a string of numbers connected by elementary operations
4+2+5-8
4,2,5,8= constants
+, +, -= operations
anything with a letter is - ANS not a constant
variable - ANS X
symbol that represents or holds the place of a numeric value
coefficients - ANS a number by which a variable is being multiplied.
they are written in FRONT
16x= 16 is the coefficient and x is the variable
term - ANS can be many things
can be a single constant (5)
a single variable (x)
can be any number of constants, variables, multiplication, exponents
example- 15ab^2
15xy^2 is equal to - ANS 15 x X x y x y
terms are separated by - ANS separated by either addition, subtraction, or division operations
x2 - 3x
2 terms
algebraic expression - ANS is a string of terms connected by division, addition, and subtraction.
writing algebraic expressions - ANS write constants at the end of your expression
, 6x+11
y3−51
abc+5
x+8−−√
Write the terms with the largest exponents first in your expression.
x3−8b2
Always write expressions in descending order of exponent value with constants at the end of the
expression. Here are some examples:
y3+4x−51
c2+abc+5
x3−x+8−−√
inverse operations - ANS two operations are considered this if they undo one another
subtraction is the inverse of addition
division is the inverse of multiplication
the degree - ANS refers to the LARGEST EXPONENT
12= 0 DEGREE
7a= 1 DEGREE
x ^2= 2 DEGREE
Names of expressions based on their degree - ANS An expression of degree 0 is known as a
constant*
An expression of degree 1 is known as linear*
An expression of degree 2 is known as quadratic*
An expression of degree 3 is known as cubic
an exponent of 0 means - ANS 1
7^0= 1
−5A+5A - ANS 0
combining terms in long expressions - ANS step 1. identify like terms
2. move the like terms next to one another
3. add of subtract coefficients
non linear equations - ANS equations containing exponents larger than 1 and sqaure roots
b2=2
c=d−−√
7=D22
