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Writing Algebraic Expressions from Words: Classroom Packet

Grade 8 Algebra: Writing Algebraic Expressions from Words

Name: ______________________Date: ____________Score: ____ / 6

Level 1

One operation

  1. 1. Write as an expression:
    5\text{5}more\text{more}than\text{than}a\text{a}number\text{number}nn\text{}
  2. 2. Write as an expression:
    a\text{a}number\text{number}xx\text{}decreased\text{decreased}by\text{by}8\text{8}
  3. 3. Write as an expression:
    the\text{the}product\text{product}of\text{of}7\text{7}and\text{and}yy\text{}
  4. 4. Write as an expression:
    a\text{a}number\text{number}mm\text{}divided\text{divided}by\text{by}4\text{4}
  5. 5. Write as an expression:
    twice\text{twice}a\text{a}number\text{number}kk\text{}
  6. 6. Write as an expression:
    12\text{12}less\text{less}than\text{than}a\text{a}number\text{number}pp\text{}

Answer Key

Level 1

  1. 1. n+5n + 5
  2. 2. x−8x - 8
  3. 3. 7y7y
  4. 4. m4\dfrac{m}{4}
  5. 5. 2k2k
  6. 6. p−12p - 12

Grade 8 Algebra: Writing Algebraic Expressions from Words

Name: ______________________Date: ____________Score: ____ / 6

Level 2

Two operations

  1. 1. Write as an expression:
    3\text{3}more\text{more}than\text{than}twice\text{twice}a\text{a}number\text{number}xx\text{}
  2. 2. Write as an expression:
    the\text{the}quotient\text{quotient}of\text{of}a\text{a}number\text{number}nn\text{}and\text{and}6,\text{6,}minus\text{minus}1\text{1}
  3. 3. Write as an expression:
    4\text{4}times\text{times}the\text{the}sum\text{sum}of\text{of}bb\text{}and\text{and}2\text{2}
  4. 4. Write as an expression:
    9\text{9}less\text{less}than\text{than}5\text{5}times\text{times}a\text{a}number\text{number}yy\text{}
  5. 5. Write as an expression:
    half\text{half}of\text{of}a\text{a}number\text{number}m,m\text{,}plus\text{plus}10\text{10}
  6. 6. Write as an expression:
    the\text{the}difference\text{difference}of\text{of}xx\text{}and\text{and}3,\text{3,}divided\text{divided}by\text{by}2\text{2}

Answer Key

Level 2

  1. 1. 2x+32x + 3
  2. 2. n6−1\dfrac{n}{6} - 1
  3. 3. 4(b+2)4(b + 2)
  4. 4. 5y−95y - 9
  5. 5. 12m+10\tfrac{1}{2}m + 10
  6. 6. x−32\dfrac{x - 3}{2}

Grade 8 Algebra: Writing Algebraic Expressions from Words

Name: ______________________Date: ____________Score: ____ / 6

Level 3

Exponents and word problems

  1. 1. Write as an expression:
    the\text{the}square\text{square}of\text{of}a\text{a}number\text{number}n,n\text{,}increased\text{increased}by\text{by}7\text{7}
  2. 2. Write as an expression:
    the\text{the}sum\text{sum}of\text{of}a\text{a}number\text{number}and\text{and}its\text{its}square\text{square}
  3. 3. Write as an expression:
    Sam\text{Sam}has\text{has}dd\text{}dollars.\text{dollars.}Mia\text{Mia}has\text{has}6\text{6}dollars\text{dollars}less\text{less}than\text{than}3\text{3}times\text{times}Sam.\text{Sam.}How\text{How}much\text{much}does\text{does}Mia\text{Mia}have?\text{have?}
  4. 4. Write as an expression:
    A\text{A}phone\text{phone}plan\text{plan}costs\text{costs}20\text{20}dollars\text{dollars}plus\text{plus}0.10\text{0.10}dollars\text{dollars}per\text{per}text\text{text}tt\text{}
  5. 5. Write as an expression:
    the\text{the}perimeter\text{perimeter}of\text{of}a\text{a}rectangle\text{rectangle}with\text{with}length\text{length}ll\text{}and\text{and}width\text{width}4\text{4}
  6. 6. Write as an expression:
    the\text{the}product\text{product}of\text{of}3\text{3}and\text{and}a\text{a}number,\text{number,}decreased\text{decreased}by\text{by}the\text{the}square\text{square}of\text{of}the\text{the}number\text{number}

Answer Key

Level 3

  1. 1. n2+7n^2 + 7
  2. 2. x+x2x + x^2
  3. 3. 3d−63d - 6
  4. 4. 20+0.10t20 + 0.10t
  5. 5. 2l+82l + 8
  6. 6. 3x−x23x - x^2