Algebra Expressions Flashcards
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Questions and Answers

What is the expression for triple a number?

  • x + 3
  • x²
  • 2x
  • 3x (correct)

    • What is ten more than a number?

    x + 10

    What is the expression for double a number?

  • x + 2
  • 3x
  • 2x (correct)
  • 4x

    • What is the expression for a number times itself?

    <p>x²</p> Signup and view all the answers

    What is ten times a number?

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

    What is three times the sum of a number and 2?

    <p>3(x + 2)</p> Signup and view all the answers

    What is ten less than a number?

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

    What is ten minus a number?

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

    What is a number divided by 2?

    <p>x/2</p> Signup and view all the answers

    What is one fourth of a number?

    <p>¼x</p> Signup and view all the answers

    What is a number divided into 6 parts?

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

    What is one third of a number?

    <p>(1/3)x</p> Signup and view all the answers

    What is a number increased by 10?

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

    What is a number decreased by 10?

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

    What is three more than a number?

    <p>x + 3</p> Signup and view all the answers

    What is the product of 10 and a number?

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

    What is the difference of a number and ten?

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

    What is a number subtracted from ten?

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

    What is the quotient of 18 and a number?

    <p>18/x</p> Signup and view all the answers

    What is five more than twice a number?

    <p>2x + 5</p> Signup and view all the answers

    What is eleven less than three times a number?

    <p>3x - 11</p> Signup and view all the answers

    What is three times a number, increased by seventeen?

    <p>3x + 17</p> Signup and view all the answers

    What is the product of nine and a number decreased by six?

    <p>9x - 6</p> Signup and view all the answers

    What is three times the difference of a number and seven?

    <p>3(x - 7)</p> Signup and view all the answers

    What is nine less than the product of a number and four?

    <p>4x - 9</p> Signup and view all the answers

    What is seven more than the quotient of ten and a number?

    <p>7 + 10/n</p> Signup and view all the answers

    What is ten thousand times the sum of a number and seven hundred?

    <p>10000(x + 700)</p> Signup and view all the answers

    What is the product of a number and three plus seven?

    <p>3x + 7</p> Signup and view all the answers

    What is five less than twice a number?

    <p>2x - 5</p> Signup and view all the answers

    What is seven divided by the sum of a number and two?

    <p>7/(x + 2)</p> Signup and view all the answers

    What is three-fourths of a number decreased by eight?

    <p>3/4x - 8</p> Signup and view all the answers

    What is the difference between a number and seven?

    <p>x - 7</p> Signup and view all the answers

    What is the product of a number and three?

    <p>3x</p> Signup and view all the answers

    Study Notes

    Algebraic Expressions Overview

    • Understanding how to translate verbal phrases into algebraic expressions is essential for solving mathematical problems.
    • Algebraic expressions convey relationships between numbers and operations using variables.

    Key Translations

    • triple a number → Represents three times a variable: 3x
    • ten more than a number → Indicates addition: x + 10
    • double a number → Suggests multiplying the variable by two: 2x
    • a number times itself → Expresses squaring the variable: x²
    • ten times a number → Denotes multiplication by ten: 10x

    Negative Relationships

    • ten less than a number → Indicates subtraction: x - 10
    • 10 minus a number → Another way to express subtraction: 10 - x

    Division and Fractions

    • a number divided by 2 → Shows division: x/2 or x ÷ 2
    • one fourth of a number → Represents a fractional expression: ¼x or x/4
    • a number divided into 6 parts → Indicates division into six: x/6
    • one third of a number → Expressed as a fraction: x/3 or (1/3)x

    More Complex Expressions

    • three times the sum of a number and 2 → Combines multiplication and addition: 3(x + 2)
    • the product of 10 and a number → Multiplication reflected in the expression: 10x
    • the difference of a number and ten → Subtraction represented: x - 10
    • a number subtracted from ten → Also a subtraction expression: 10 - x

    Relationships Involving Multiple Steps

    • the quotient of 18 and a number → Denotes division involving a fixed number: 18/x
    • five more than twice a number → Combines multiplication with addition: 2x + 5
    • eleven less than three times a number → Shows a relationship of multiplication and subtraction: 3x - 11
    • three times a number, increased by seventeen → Variation of multiplication plus addition: 3x + 17
    • the product of nine and a number decreased by six → Links multiplication with subtraction: 9x - 6
    • three times the difference of a number and seven → Involves both subtraction and multiplication: 3(x - 7)
    • nine less than the product of a number and four → Reflects multiplication followed by subtraction: 4x - 9

    Advanced Expressions

    • seven more than the quotient of ten and a number → Complex division and addition: 7 + 10/n
    • ten thousand times the sum of a number and seven hundred → Large multiplication reflecting addition: 10000(x + 700)
    • the product of a number and three plus seven → Involves multiplication followed by addition: 3x + 7
    • five less than twice a number → Combines multiplication and subtraction: 2x - 5
    • seven divided by the sum of a number and two → Specifies division with a sum: 7/(x + 2)
    • three-fourths of a number decreased by eight → Involves a fraction and subtraction: 3/4x - 8
    • the difference between a number and seven → A straightforward subtraction expression: x - 7
    • the product of a number and three → Simple multiplication: 3x

    Summary

    • Familiarity with these expressions enhances understanding of algebra and aids in solving various mathematical problems.

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    Description

    Test your knowledge of algebraic expressions using these flashcards. Each card presents a mathematical phrase with its corresponding algebraic representation. Perfect for students looking to enhance their understanding of basic algebra concepts.

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