Algebra 1 Unit 2 Vocabulary Flashcards
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Questions and Answers

What is a model in mathematics?

  • A mathematical or statistical representation of a problem (correct)
  • An irrelevant equation
  • A frequent solution to an equation
  • A graphical representation of data
  • What is a constraint in a model?

    A limitation on the possible values of variables

    Equivalent equations are equations that have different solutions.

    False

    What is a system of equations?

    <p>Two or more equations that represent constraints in the same situation.</p> Signup and view all the answers

    What is the solution to a system of equations?

    <p>A coordinate pair that makes both equations true.</p> Signup and view all the answers

    What does substitution mean in algebra?

    <p>Replacing a variable with an expression it is equal to.</p> Signup and view all the answers

    What is elimination in solving systems of equations?

    <p>Adding or subtracting a multiple of one equation to another to eliminate a variable.</p> Signup and view all the answers

    Equivalent systems of equations share different solution sets.

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

    What is a system of inequalities?

    <p>Two or more inequalities that represent constraints in the same situation.</p> Signup and view all the answers

    What are solutions to a system of inequalities?

    <p>All pairs of values that make the inequalities true.</p> Signup and view all the answers

    Study Notes

    Vocabulary in Algebra 1

    • Model
      Mathematical or statistical representation used to solve problems across various fields, such as science and technology.

    • Constraint
      Limitations on variable values within a model, often expressed through equations or inequalities (e.g., d ≥ 0 for non-negative distance).

    • Equivalent Equations
      Equations that yield the same solutions, thus are interchangeable in problem-solving.

    • System of Equations
      A collection of two or more equations that together represent the constraints of a particular situation.

    • Solution to a System of Equations
      A coordinate pair that satisfies all equations in a system, marked by the intersection point of graphs in visual representations.

    • Substitution
      The process of replacing a variable with a corresponding expression to simplify solving equations.

    • Elimination
      A technique for solving systems of equations by adding or subtracting equations to isolate and eliminate variables, allowing the solution of the remaining variable.

    • Equivalent Systems
      Systems of equations that possess identical solution sets, implying they represent the same constraints.

    • System of Inequalities
      Comprises two or more inequalities that collectively depict the constraints of a given scenario.

    • Solutions to a System of Inequalities
      All pairs of values that satisfy inequalities in a system, represented by overlapping regions of the inequality graphs.

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    Test your understanding of key vocabulary in Algebra 1 Unit 2 with these flashcards. Each card presents a math-related term along with its definition to enhance your learning experience. Perfect for building a solid foundation in algebraic concepts.

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