Algebra 1 - Unit 1 Flashcards

Order of Operations

• A systematic set of rules to evaluate expressions with multiple operations.

Evaluate

• The process of calculating the numerical value of an expression.

Variable

• Represents a changeable or unknown value, commonly denoted by letters.

Coefficient

• A numeric factor that multiplies a variable in an algebraic expression, placed before the variable.

Constant

• A standalone term without a variable that has a fixed value.

Term

• Individual components of an algebraic expression, which can be constants, coefficients, or variables.

Numerical Expression

• An expression consisting solely of numbers and operational symbols, without variables.

Algebraic Expression

• A combination of numbers, variables, and at least one operational symbol representing a value.

Simplified Expression

• Represents a form of expression that combines like terms and excludes any grouping symbols.

Equivalent

• Refers to two expressions or values that are equal in magnitude or worth.

Distributive Property

• A fundamental property illustrated by the formula a(b + c) = ab + ac, used for expanding expressions.

Like Terms

• Terms that share identical variable factors and exponents; coefficients may differ but variables must match.

Equation

• A mathematical statement asserting that two expressions are equal.

Inverse Operations

• Operations that effectively reverse or nullify each other, such as addition and subtraction or multiplication and division.

Inequality

• A mathematical comparison between two quantities indicating they are not equivalent, using symbols like <, ≤, ≥, or ≠.

Solution

• The value or set of values that fulfill the requirements of an equation or inequality.

Addition Property

• A property that allows the addition of the same value to both sides of an equation, maintaining equality.

Multiplication Property

• Similar to addition, this property permits the multiplication of each side of an equation by the same nonzero value.

Subtraction Property

• States that subtracting the same value from both sides of an equation keeps the equality intact.

Division Property

• Involves dividing both sides of an equation by the same nonzero value to preserve the equation's equality.

Equivalent Equations

• Two or more equations that yield the same solution despite possibly differing in appearance.

Real Number

• Encompasses all numbers that can be depicted on a number line.

Rational Number

• A specific type of real number that can be expressed as a fraction, a terminating decimal, or a repeating decimal.

Irrational Number

• Defined by non-repeating and non-terminating decimal representations, not expressible as a simple fraction.