6th Grade Expressions and Equations Flashcards
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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?

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

What is an algebraic expression?

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

What is a term in a mathematical expression?

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

What is a mathematical property?

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

What is an equation?

<p>A mathematical sentence that contains an equals sign.</p> Signup and view all the answers

What is a solution in the context of equations?

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

What is an inverse operation?

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

What is an inequality?

<p>A statement that compares two quantities using &lt;, ≤, ≥, or ≠.</p> Signup and view all the answers

What is an ordered pair?

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

What is an independent variable?

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

What is a dependent variable?

<p>The outcome factor that may change in response to manipulations of the independent variable.</p> 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.

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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.

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