Numerical and Algebraic Expressions Flashcards

Numerical Expressions

• Composed of numbers and operations (addition, subtraction, multiplication, division).
• Example: 2 + 3 or 5 - 2.

Evaluate

• Refers to finding the numerical value of an expression.

Substitute

• Involves replacing a variable with a specific number to evaluate an expression.

Order of Operations

• A critical process for evaluating expressions correctly, following the PEMDAS acronym (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Sum

• The result obtained from performing an addition operation.

Difference

• The result derived from performing a subtraction operation.

Product

• The result achieved through a multiplication operation.

Quotient

• The result obtained from performing a division operation.

Translate

• The process of expressing a word problem or statement into algebraic terms (using numbers and variables).

Variable

• A symbolic placeholder that can represent any value within an expression.

Algebraic Expression

• Comprises sums and/or products of variables and numbers.
• Example: x + 3.

Equation

• A mathematical statement that equates two expressions using an equals sign (=).

Open Sentence

• An equation containing at least one variable, making it not a fixed true or false statement.

Solution

• A specific value for the variable that satisfies the equation, such as x + 7 = 9 where the solution for x is 2.

Solving an Equation

• The method of determining the solution that makes an equation valid.

Equivalent

• Two expressions that convey the same value or meaning, for instance, 2 + 3 and 1 + 4.

Inequality

• A mathematical statement that indicates a relationship between expressions using symbols like <, >, ≤, or ≥.

Maximum

• Refers to the highest possible value in a given situation or set.

Minimum

• Refers to the lowest possible value in a given situation or set.