6th Grade Expressions and Equations Flashcards

Questions and Answers

What is a numerical expression?

An expression that contains only numbers and operations.

What does the order of operations refer to?

PEMDAS

What is a variable?

A letter or symbol used in place of an unknown number or quantities in expressions and equations.

What is a coefficient?

A number multiplied by a variable in an algebraic expression. Signup and view all the answers

What is an algebraic expression?

A mathematical phrase involving at least one variable and sometimes numbers and operation symbols. Signup and view all the answers

What is a term in a mathematical expression?

Part of an expression containing a number, a variable, or both. Signup and view all the answers

What is a mathematical property?

An equation or statement that is true for any value of the variables. Signup and view all the answers

What is an equation?

A mathematical sentence that contains an equals sign. Signup and view all the answers

What is a solution in the context of equations?

The values of a variable that make the equation true. Signup and view all the answers

What is an inverse operation?

Operations that do the exact opposite of each other; they undo each other. Signup and view all the answers

What is an inequality?

A statement that compares two quantities using <, ≤, ≥, or ≠. Signup and view all the answers

What is an ordered pair?

A pair of numbers that give the location of a point on a x and y grid. Signup and view all the answers

What is an independent variable?

The variable that doesn't depend on another and you may control. Signup and view all the answers

What is a dependent variable?

The outcome factor that may change in response to manipulations of the independent variable. Signup and view all the answers

Study Notes

Numerical Expressions and Variables

Numerical Expression: Composed solely of numbers and mathematical operations such as addition, subtraction, multiplication, and division.
Variable: Represents unknowns in expressions and equations, typically denoted by letters or symbols.
Coefficient: A numeric factor that multiplies a variable in algebraic expressions, influencing the term's value.

Algebraic Concepts

Algebraic Expression: A phrase that combines at least one variable with numbers and operation symbols, depicting relationships between values.
Term: A component of an expression that can be a single number, a variable, or a multiplication of both.
Equation: A mathematical statement featuring an equals sign, asserting the equality of two expressions.

Mathematical Relationships and Operations

Order of Operations: The sequence of operations to solve math expressions, summarized in the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).
Mathematical Property: Assertions true for any values substituted for variables, crucial for solving and manipulating equations.

Solutions and Inequalities

Solution: The specific values for a variable that satisfy an equation, making it true.
Inequality: A comparative statement that illustrates the relationship between two quantities using symbols like <, ≤, ≥, or ≠.

Graphing and Variables

Ordered Pair: A pair of numbers that uniquely defines a point on a Cartesian plane, written as (x, y), where x represents the horizontal axis and y the vertical axis.
Independent Variable: The variable controlled in experiments or equations, which does not rely on other variables, often represented as x.
Dependent Variable: Reflects the outcome of changes made to the independent variable, denoted as y, and is influenced by it.

Description

Test your understanding of key concepts in 6th-grade expressions and equations with these flashcards. Learn about numerical expressions, order of operations, variables, and coefficients. Perfect for reinforcing your knowledge and preparing for assessments.