Isolating a Variable

Question 1

Term

Answer 1

numerical constant or the product of a number constant and one or more variables. (Ex: 5, 3x, 4x^2yz, 2ac)

Question 2

Algebraic equation

Answer 2

combination of one or more terms (terms in an expression are separated by either + or - signs)

Question 3

Coefficient

Answer 3

numerical constant in a term (ex 3xy, 3 is coefficient)

Question 4

Constant term

Answer 4

a number without any variables

Question 5

monomial

Answer 5

expression with one term

Question 6

binomial

Answer 6

expression with two terms (ex. 4a + 2d)

Question 7

trinomial

Answer 7

expression with three terms (xy + z - a)

Question 8

polynomial

Answer 8

expressions with more than one term

Question 9

PEMDAS

Answer 9

parentheses, exponents, multiplication, division, addition, subtraction

Question 10

Combining like terms

Answer 10

process of simplifying an expression by subtracting or adding together those terms with the same variable component

Question 11

factoring a polynomial

Answer 11

expressing it as a product of two or more simpler expressions

Question 12

common monomial factor

Answer 12

when there is monomial factor common to every term in the polynomial, it can be factored out by using the distributive law

Question 13

equation

Answer 13

algebraic sentence that says that two expressions are equal to each other

Question 14

equality postulate

Answer 14

whenever you perform an operation on one side of the equation, you must perform the same operation on the other side

Question 15

equations with fractions

Answer 15

always get rid of the fractions as your first step, by multiplying both sides of the equation by the least common denominator