Algebra 1 Chapter 5 Review Flashcards
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Questions and Answers

What does the letter D represent?

  • Choice 3
  • Choice 1
  • Choice 4 (correct)
  • Choice 2
  • What does the letter A represent?

  • Choice 3
  • Choice 2
  • Choice 4
  • Choice 1 (correct)
  • What does the letter B represent?

  • Choice 3
  • Choice 2 (correct)
  • Choice 4
  • Choice 1
  • What does the letter C represent?

    <p>Choice 3 (D)</p> Signup and view all the answers

    What is the numerical value represented by 5/4?

    <p>1.25</p> Signup and view all the answers

    What is the situation modeled by the linear equation with monthly fee $65?

    <p>This situation can be modeled by a linear equation due to its constant monthly fee.</p> Signup and view all the answers

    What is the equation that models the cost given as C = 78 + 33.32m?

    <p>C = 78 + 33.32m</p> Signup and view all the answers

    What is the meaning of the line C = 155 + 33.32m?

    <p>Represents a different cost model (C)</p> Signup and view all the answers

    What relationship do the equations C = 78 + 33.32m and C = 155 + 33.32m have?

    <p>They are parallel. (D)</p> Signup and view all the answers

    What is the constant difference between the equations C = 78 + 33.32m and C = 155 + 33.32m?

    <p>$77</p> Signup and view all the answers

    What is the value when 6 is used?

    <p>6</p> Signup and view all the answers

    How many cans are represented by 175?

    <p>175</p> Signup and view all the answers

    What is the numerical representation of 10?

    <p>10</p> Signup and view all the answers

    Flashcards

    What is the value of 'D'?

    The value represented by the letter D is 'Choice 4'.

    What is the value of 'A'?

    The value represented by the letter A is 'Choice 1'.

    What is the value of 'B'?

    The value represented by the letter B is 'Choice 2'.

    What is the value of 'C'?

    The value represented by the letter C is 'Choice 3'.

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    What is the numerical value of 5/4?

    5/4 represents the numerical value of 1.25.

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    What kind of equation models a constant monthly fee?

    A constant monthly fee indicates a linear equation, making the model applicable to situations with consistent charges.

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    What equation models cost with a fixed amount and per-unit charge?

    The equation C = 78 + 33.32m models a cost with a fixed initial charge of $78 and a variable cost of $33.32 per unit represented by 'm'.

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    What does the equation C = 155 + 33.32m represent?

    The line C = 155 + 33.32m represents a different cost model, possibly with a higher initial cost but the same per-unit charge.

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    What is the relationship between the equations C = 78 + 33.32m and C = 155 + 33.32m?

    The equations C = 78 + 33.32m and C = 155 + 33.32m are parallel because they have the same slope, meaning the cost changes at the same rate for each unit.

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    What is the constant difference between the two cost equations?

    The constant difference between the equations C = 78 + 33.32m and C = 155 + 33.32m is $77, which is the difference in their initial costs.

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    What is the value when 6 is used?

    When substituting 6 into the equation, the output is 6.

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    What is the numerical representation of 175 cans?

    175 cans are represented by the numerical value 175.

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    What is the numerical representation of 10?

    The numerical representation of 10 is simply 10.

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    Study Notes

    Algebra Terminology

    • Variables often represented by letters such as A, B, C, D, and E.
    • Understanding the definitions of these terms is essential for algebraic manipulation and solving equations.

    Key Linear Equations

    • Monthly fees in linear equations are constant, characterized by the linear relationship.
    • Example of a linear equation: C = 78 + 33.32m, where C represents cost and m represents months.
    • The slope indicates how much the cost increases with each additional month.

    Parallel Lines Concept

    • When two linear equations have the same slope, they represent parallel lines and do not intersect.
    • The difference between two costs in such parallel equations is constant across all values.

    Practical Applications

    • Situation examples may involve real-world scenarios, such as monthly billing costs or pricing models.
    • Evaluation of given conditions can lead to understanding how changes affect overall outcomes.

    Numerical Values

    • Key numerical findings include fractions such as 5/4, integers like 6, and quantities such as 175 cans.
    • These figures may vary based on the context of the problem and how they are utilized in equations.

    Problem-Solving Strategies

    • When tackling algebra problems, identifying the correct equation model is crucial.
    • Recognizing patterns in the slope and cost differences aids in predicting future costs or determining budgets.

    Review Strategies

    • Flashcards can be an effective study tool to reinforce terminology and concepts.
    • Consider applying practical examples from everyday life to enhance understanding of linear equations.

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    Description

    Test your knowledge with these flashcards focusing on key terms from Algebra 1 Chapter 5. Each card presents a word along with its definition, helping you to prepare effectively for exams. Use these flashcards to reinforce your understanding of algebraic concepts.

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