Algebra 1 Chapter 1 Flashcards
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Questions and Answers

What are arithmetic operations?

  • Addition, subtraction
  • Division, modulus
  • Subtraction, multiplication
  • Addition, subtraction, multiplication, division (correct)
  • What is an expression?

    A collection of numbers, operation signs, and inclusion symbols that stands for a number.

    What does evaluating mean?

    To find the number for which the expression stands.

    What is a variable?

    <p>A letter that represents a number.</p> Signup and view all the answers

    What does substituting mean?

    <p>To replace a variable with a constant.</p> Signup and view all the answers

    What are the terms related to the operations: sum, difference, product, quotient?

    <p>The answer to a problem in addition, subtraction, multiplication, division.</p> Signup and view all the answers

    ______ are numbers that are added or subtracted, whereas ______ are numbers that are multiplied together.

    <p>Terms, factors</p> Signup and view all the answers

    What is the order of operations?

    <p>Parentheses, evaluate powers, then multiply &amp; divide in order left to right, then add and subtract in order from left to right.</p> Signup and view all the answers

    What is an equation?

    <p>A sentence that says one expression is equal to another.</p> Signup and view all the answers

    The ____ of an equation is a number you can substitute for the variable that makes the sentence true.

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

    To ____ an equation means to do the same operation to each member of the equation.

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

    What is the sum of 3 + 2?

    <p>5</p> Signup and view all the answers

    What is the difference of 3 - 2?

    <p>1</p> Signup and view all the answers

    What is the product of 3 X 2?

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

    What is the quotient of 3 / 2?

    <p>1.5</p> Signup and view all the answers

    Study Notes

    Arithmetic Operations

    • Involves four basic functions: addition, subtraction, multiplication, and division.

    Expression

    • A mathematical phrase containing numbers, operation signs, and symbols that represent a specific value.

    Evaluating

    • The process of determining the numerical value that an expression signifies.

    Variable

    • A symbol, often a letter, representing an unspecified number, which can vary in value but is consistent within a single expression.

    Substituting

    • Replacing a variable with a specific constant or number to evaluate an expression.

    Sum, Difference, Product, Quotient

    • Results of mathematical operations:
      • Sum: Addition result
      • Difference: Subtraction result
      • Product: Multiplication result
      • Quotient: Division result

    Terms and Factors

    • Terms are the individual components added or subtracted in an expression, while factors are the components multiplied together.

    Power, Base, and Exponent

    • A power consists of a base (the number being multiplied) raised to an exponent (the number of times the base is used as a factor).

    Order of Operations

    • Sequence of operations to solve expressions:
      • Evaluate expressions in parentheses first, then powers,
      • Follow with multiplication and division from left to right,
      • Finally, perform addition and subtraction from left to right.

    Equation

    • A mathematical statement asserting the equality of two expressions, illustrated by examples like x + 3 = 5.

    Solution

    • The specific value of a variable that satisfies an equation, making the statement true.

    Transform

    • Refers to applying the same mathematical operation across all parts of an equation to maintain equality.

    Basic Arithmetic Examples

    • Sum: 3 + 2 results in 5.
    • Difference: 3 - 2 yields 1.
    • Product: 3 multiplied by 2 equals 6.
    • Quotient: 3 divided by 2 gives 1.5.

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    Description

    Test your knowledge of key concepts from Chapter 1 of the Algebra 1 textbook by Paul A. Foerster. This set of flashcards covers fundamental terms like arithmetic operations, expressions, evaluating, and variables, helping you to reinforce your understanding of basic algebra concepts.

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