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Word Problem Keywords
Phrases in word problems and the operation or symbol they usually suggest. Always read the whole problem, since keywords are clues and not rules.
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- In allPhraseAdd
- AltogetherPhraseAdd
- TotalPhraseAdd
- SumPhraseAdd
- CombinedPhraseAdd
- PlusPhraseAdd
- More thanPhraseAdd (but 'A is 3 more than B' means A = B + 3)
- Increased byPhraseAdd
- GainedPhraseAdd
- BothPhraseAdd the two amounts
- How many are leftPhraseSubtract
- RemainPhraseSubtract
- DifferencePhraseSubtract
- Fewer thanPhraseSubtract
- Less thanPhraseSubtract (order is flipped: '5 less than 9' is 9 − 5)
- Decreased byPhraseSubtract
- Take awayPhraseSubtract
- How many morePhraseSubtract to compare two amounts
- LostPhraseSubtract
- Gave awayPhraseSubtract
- MinusPhraseSubtract
- TimesPhraseMultiply
- ProductPhraseMultiply
- Of (with a fraction or percent)PhraseMultiply1/2 of 10 is 1/2 × 10
- Each (with a total needed)PhraseMultiply
- EveryPhraseMultiply or divide, depending on the question
- TwicePhraseMultiply by 2
- DoublePhraseMultiply by 2
- TriplePhraseMultiply by 3
- PerPhraseMultiply or divide; it marks a rateMiles per hour
- At this ratePhraseMultiply a rate by an amount
- Groups ofPhraseMultiply
- Rows ofPhraseMultiply
- QuotientPhraseDivide
- Divided equallyPhraseDivide
- Shared equallyPhraseDivide
- Split amongPhraseDivide
- Half ofPhraseDivide by 2
- AveragePhraseAdd the values, then divide by how many
- Per personPhraseDivide the total by the number of people
- How many in each groupPhraseDivide
- How many groupsPhraseDivide
- Ratio ofPhraseCompare using division or a fraction
- Percent ofPhraseConvert to a decimal and multiply
- Is (as an equals sign)Phrase=
- What isPhraseThe unknown value, a variable
- At mostPhrase≤
- At leastPhrase≥
- No more thanPhrase≤
- No less thanPhrase≥
- More than (inequality)Phrase>
- Fewer than (inequality)Phrase<
- Is the same asPhrase=
- Consecutive numbersPhraseNumbers in order with no gaps, such as n, n + 1, n + 2
- Consecutive even numbersPhrasen, n + 2, n + 4
- PerimeterPhraseAdd the lengths of all the sides
- AreaPhraseMultiply (for a rectangle, length times width)
- Step 1 of solving a word problemPhraseRead it and decide what the question asks
- Step 2 of solving a word problemPhrasePick out the numbers and units you need
- Step 3 of solving a word problemPhraseChoose the operation and write an equation
- Step 4 of solving a word problemPhraseSolve it, then check that the answer makes sense and has the right units
- Extra informationPhraseA number in a problem you do not need
- Multi-step problemPhraseA problem needing two or more operations
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