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Grade 8 Algebra: Word Problems: Exponents

Name: ______________________Date: ____________Score: ____ / 6

Level 1

Repeated multiplication

  1. 1. Solve:
    A\text{A}bacteria\text{bacteria}colony\text{colony}doubles\text{doubles}every\text{every}hour.\text{hour.}It\text{It}starts\text{starts}with\text{with}1\text{1}cell.\text{cell.}How\text{How}many\text{many}cells\text{cells}are\text{are}there\text{there}after\text{after}5\text{5}hours?\text{hours?}
  2. 2. Solve:
    Write\text{Write}3\text{3}times\text{times}3\text{3}times\text{times}3\text{3}times\text{times}3\text{3}as\text{as}a\text{a}power,\text{power,}then\text{then}find\text{find}its\text{its}value.\text{value.}
  3. 3. Solve:
    A\text{A}square\text{square}has\text{has}side\text{side}length\text{length}7\text{7}cm.\text{cm.}Find\text{Find}its\text{its}area\text{area}as\text{as}a\text{a}power\text{power}and\text{and}as\text{as}a\text{a}number.\text{number.}
  4. 4. Solve:
    A\text{A}cube\text{cube}has\text{has}edge\text{edge}length\text{length}4\text{4}cm.\text{cm.}Find\text{Find}its\text{its}volume\text{volume}as\text{as}a\text{a}power\text{power}and\text{and}as\text{as}a\text{a}number.\text{number.}
  5. 5. Solve:
    Ana\text{Ana}tells\text{tells}3\text{3}friends\text{friends}a\text{a}secret.\text{secret.}Each\text{Each}friend\text{friend}tells\text{tells}3\text{3}new\text{new}people,\text{people,}and\text{and}each\text{each}of\text{of}those\text{those}tells\text{tells}3\text{3}more.\text{more.}How\text{How}many\text{many}people\text{people}hear\text{hear}it\text{it}in\text{in}the\text{the}third\text{third}round?\text{round?}
  6. 6. Solve:
    Leo\text{Leo}saves\text{saves}1\text{1}coin\text{coin}on\text{on}day\text{day}1\text{1}and\text{and}doubles\text{doubles}his\text{his}coins\text{coins}each\text{each}day.\text{day.}How\text{How}many\text{many}coins\text{coins}does\text{does}he\text{he}save\text{save}on\text{on}day\text{day}8?\text{8?}