Grade 8 Algebra Expressions: Vocabulary Study Set

A set of vocabulary flashcards based on Grade 8 Algebraic Expressions covering fundamental operations, expression types, and structural components.

Sum

The result of adding two or more numbers or variables; for example, the sum of $a$ and $b$ is $a + b$.

Difference

The result of subtracting one number or variable from another; for example, the difference between $10$ and $12$.

Product

The result of multiplying numbers or variables; for example, the product of $f$ and $g$ is expressed as $fg$.

Quotient

The result of dividing one number by another; for example, the quotient if $8$ is divided by $y$ is written as $\frac{8}{y}$.

Monomial

An algebraic expression consisting of only $1$ term.

Binomial

An algebraic expression consisting of $2$ terms.

Trinomial

An algebraic expression consisting of $3$ terms.

Constant Term

A term in an algebraic expression that does not contain a variable and whose value does not change.

Coefficient

The numerical factor that multiplies a variable in an algebraic expression; for example, in $-5m^2$, $-5$ is the coefficient.

Exponent

The power to which a base or variable is raised; for example, in $y^4$, the exponent is $4$.

Degree of the expression

The highest exponent of the variable in a polynomial expression.

Descending powers

Arranging an algebraic expression so that the terms are ordered from the highest exponent of a variable to the lowest.

Ascending powers

Arranging an algebraic expression so that the terms are ordered from the lowest exponent of a variable to the highest.

Like terms

Terms that contain the same variables raised to the same exponents; only like terms can be added or subtracted.

Variable

A letter (such as $x$, $y$, or $m$) used to represent an unknown value in an algebraic expression.

More than

An algebraic phrase indicating addition; for example, $10$ more than $p$ is written as $p + 10$.

Less than

An algebraic phrase indicating subtraction; for example, $3$ less than $p$ is written as $p - 3$.