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

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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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