Algebraic Reasoning Flashcards
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Questions and Answers

What is an Algebraic Expression?

  • An equation with equal sides
  • An expression that contains more than one variable (correct)
  • An expression that contains only numbers
  • A mathematical sentence that is always true

    • What does it mean to isolate the variable?

    To get a variable alone on one side of the equation or inequality.

    What is a solution in algebra?

    A value or values that make an algebraic expression true.

    What does substitution mean in algebra?

    <p>To replace a variable with a number or another expression in an algebraic expression.</p> Signup and view all the answers

    What are operations in mathematics?

    <p>A mathematical process.</p> Signup and view all the answers

    What is a coefficient?

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

    What is a variable?

    <p>A symbol that is used to represent a quantity that can change.</p> Signup and view all the answers

    What is an inequality?

    <p>A mathematical sentence that shows the relationship between quantities that are not equivalent.</p> Signup and view all the answers

    Less Than means bigger.

    <p>False</p> Signup and view all the answers

    Greater Than means smaller.

    <p>False</p> Signup and view all the answers

    Study Notes

    Algebraic Expressions and Definitions

    • An Algebraic Expression involves multiple variables, showcasing relationships between them.
    • To Isolate the Variable means to rearrange an equation, placing a variable alone on one side for simplification and solving purposes.
    • A Solution consists of values that validate an algebraic expression, fulfilling the equation's requirements.

    Substitution and Mathematical Operations

    • Substitution is the process of replacing a variable in an expression with a specific number or another expression, aiding in computation.
    • Operations refer to various mathematical processes such as addition, subtraction, multiplication, and division.

    Coefficients and Variables

    • A Coefficient is a numerical factor that multiplies a variable, defining its influence in an algebraic expression.
    • A Variable is a symbol representing a quantity that can change, commonly denoted by letters like x or y.

    Understanding Inequalities

    • An Inequality is a mathematical statement showing the relationship between non-equivalent quantities, indicating one is greater or less than the other.
    • Less Than signifies a value smaller than another, while Greater Than indicates a larger value. Both terms are essential in expressing comparative relationships.

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    Description

    Test your knowledge of algebraic expressions and concepts with these flashcards. Each card features a key term related to algebraic reasoning, along with its definition. Perfect for students looking to reinforce their understanding of algebraic principles.

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