answers 100% pass
elementary operations
addition
subtraction
multiplication
division
constants
a number with a fixed value
all real numbers
arithmetic expression
a string of numbers connected by elementary operations
4+2+5-8
4,2,5,8= constants
+, +, -= operations
anything with a letter is
not a constant
variable
X
symbol that represents or holds the place of a numeric value
coefficients
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
can be many things
can be a single constant (5)
a single variable (x)
can be any number of constants, variables, multpilication, exponents
example- 15ab^2
15xy^2 is equal to
15 x X x y x y
terms are seperated by
separated by either addition, subtraction, or division operations
x2 - 3x
2 terms
, alagebaric expression
is a string of terms connected by division, addition, and subtraction.
writing algebaric expressions
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
two operations are considered this if they undo one another
subtraction is the inverse of addition
division is the inverse of multiplication
the degree
refers to the LARGEST EXPONENT
12= 0 DEGREE
7a= 1 DEGREE
x ^2= 2 DEGREE
Names of expressions based on their degree
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
1
7^0= 1
−5A+5A
0
combining terms in long expressions
step 1. identify like terms
2. move the like terms next to one another
3. add of subtract coefficients