Algebra 3 Flashcards
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Questions and Answers

What is a variable equation?

  • An equation with constant values
  • An equation with no solutions
  • An equation containing a variable (correct)
  • An equation that is always true

    • What is a solution in the context of equations?

    A value of the variable that makes the equation true

    What are equivalent equations?

    Equations with the same solutions

    What are properties of equality?

    <p>Adding, subtracting, multiplying or dividing both sides of an equation by the same numbers gives an equivalent equation</p> Signup and view all the answers

    What are inverse operations?

    <p>Operations that undo each other</p> Signup and view all the answers

    What does it mean to solve an equation?

    <p>Find the solution of an equation</p> Signup and view all the answers

    What does it mean to check a solution?

    <p>Substitute the solution of an equation</p> Signup and view all the answers

    What is a discount?

    <p>The amount you save when you buy an item on sale</p> Signup and view all the answers

    What is the sale price?

    <p>The regular price minus the discount</p> Signup and view all the answers

    Study Notes

    Algebra Key Concepts

    • Variable Equation: An equation that includes one or more variables. Essential for representing relationships in algebra.

    • Solution: This refers to the specific value of the variable that satisfies the equation, making it correct.

    • Equivalent Equations: These are equations that yield the same solution set, meaning they are different in form but represent the same relationship.

    • Properties of Equality: Fundamental rules stating that performing the same operation (addition, subtraction, multiplication, or division) on both sides of an equation maintains equality, generating an equivalent equation.

    • Inverse Operations: Pairs of operations that reverse each other, such as addition and subtraction or multiplication and division. Key for solving equations.

    • Solve: The process of determining the value of the variable in an equation, leading to the solution.

    • Check: To confirm the solution by substituting it back into the original equation to verify that it holds true.

    Financial Terminology

    • Discount: Represents the amount reduced from the original price of an item when purchased during a sale; important for understanding savings.

    • Sale Price: The final price after applying the discount to the regular price, indicating the actual amount paid at purchase.

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    Description

    Test your knowledge with these Algebra 3 flashcards. This quiz covers key terms such as variable equations, solutions, equivalent equations, and properties of equality. Perfect for anyone looking to sharpen their algebra skills.

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