Algebra – Exam Elaborations and Key
Concept Definitions | Complete Review
Material and Practice Answers (GRADED
A+)
replacement set - Answer✔️A set of solutions that can replace a variable.
rise - Answer✔️The difference between two y-values on a linear graph.
run - Answer✔️The difference between two x-values on a linear graph.
simplest form - Answer✔️An expression that contains no like terms or
parentheses.
simplify - Answer✔️To reduce an expression to as few terms as possible.
slope - Answer✔️A measure of steepness of a line. Often represented by the letter.
Calculated by finding the ratio of the change in y-coordinates (rise) to the change
in x-coordinates (run).
slope-intercept form - Answer✔️An equation of a line in this form, with m as the
slope and b as the y-intercept.
solve - Answer✔️The process of finding all values of a variable that make an
equation or inequality true.
standard form of an equation - Answer✔️An equation in this form, where A, B
and C are integers and A is positive.
standard form of polynomials - Answer✔️When terms are placed in descending
order according to their degree.
sum - Answer✔️The answer to an addition problem.
, system of equations - Answer✔️A set of two or more equations with two or more
variables.
terminating decimal - Answer✔️A rational number that does not repeat or
continue indefinitely after the decimal.
term - Answer✔️A number and/or variable(s), or a combination of both being
multiplied or divided.
trinomial - Answer✔️An expression with three terms.
undefined - Answer✔️No solution.
variable - Answer✔️Symbols, usually letters, used to represent unspecified values.
whole number - Answer✔️All natural (counting) numbers and zero.
x-axis - Answer✔️The horizontal number line of a coordinate plane.
x-intercept - Answer✔️The point where a graph touches the x-axis. Also referred
to as roots or zeros.
y-axis - Answer✔️The vertical number line of a coordinate plane.
y-intercept - Answer✔️The point where a graph touches the y-axis. Sometimes
represented by the letter b.
line of best fit - Answer✔️A line drawn through a scatter plot to best represent the
data.
counterexample - Answer✔️A specific case that makes a statement false.
degree - Answer✔️The sum of the exponents in a monomial.
dependent variable - Answer✔️The y-value, or output, of a relation, whose value
depends on the input.
Concept Definitions | Complete Review
Material and Practice Answers (GRADED
A+)
replacement set - Answer✔️A set of solutions that can replace a variable.
rise - Answer✔️The difference between two y-values on a linear graph.
run - Answer✔️The difference between two x-values on a linear graph.
simplest form - Answer✔️An expression that contains no like terms or
parentheses.
simplify - Answer✔️To reduce an expression to as few terms as possible.
slope - Answer✔️A measure of steepness of a line. Often represented by the letter.
Calculated by finding the ratio of the change in y-coordinates (rise) to the change
in x-coordinates (run).
slope-intercept form - Answer✔️An equation of a line in this form, with m as the
slope and b as the y-intercept.
solve - Answer✔️The process of finding all values of a variable that make an
equation or inequality true.
standard form of an equation - Answer✔️An equation in this form, where A, B
and C are integers and A is positive.
standard form of polynomials - Answer✔️When terms are placed in descending
order according to their degree.
sum - Answer✔️The answer to an addition problem.
, system of equations - Answer✔️A set of two or more equations with two or more
variables.
terminating decimal - Answer✔️A rational number that does not repeat or
continue indefinitely after the decimal.
term - Answer✔️A number and/or variable(s), or a combination of both being
multiplied or divided.
trinomial - Answer✔️An expression with three terms.
undefined - Answer✔️No solution.
variable - Answer✔️Symbols, usually letters, used to represent unspecified values.
whole number - Answer✔️All natural (counting) numbers and zero.
x-axis - Answer✔️The horizontal number line of a coordinate plane.
x-intercept - Answer✔️The point where a graph touches the x-axis. Also referred
to as roots or zeros.
y-axis - Answer✔️The vertical number line of a coordinate plane.
y-intercept - Answer✔️The point where a graph touches the y-axis. Sometimes
represented by the letter b.
line of best fit - Answer✔️A line drawn through a scatter plot to best represent the
data.
counterexample - Answer✔️A specific case that makes a statement false.
degree - Answer✔️The sum of the exponents in a monomial.
dependent variable - Answer✔️The y-value, or output, of a relation, whose value
depends on the input.
