Understanding Expressions and Variables in Algebra

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Learn how to find a variable in an expression and solve expressions using phrases like "three more than a number" or "nine times a number." Discover how to translate words into algebraic expressions with missing variables and avoid using certain letters.


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  1. Algebra Expressions and Variables 4.OA.2 and 4.OA.3

  2. We will be learning how to find a variable in an expression and solve the expression!

  3. First...lets talk about what an expresson is...get your organizer! expression

  4. Next...lets talk about what a variable is...turn your organizer over! variable

  5. Now that we know those two words, let s move on to some phrases used to go with expressions and variables: -three more than a number -the sum of ten and a number y -nine times a number - a number decreased by three

  6. We can easily turn these phrases into expressions with a missing number (variable). Remember when we did the multiplicative comparisons? Sixteen is two times more than eight... 16=2x8

  7. Well, we can use the same strategy! Let s try... -a number increased by seven looks like: n + 7 -nine times a number looks like: 9 x c -twice the number three looks like: 2 x 3 two less than three times a number: 3 x k - 2

  8. Its easy if you read the words carefully and make notes above the words! 8 x f Eight times a number 7 + n seven more than a number

  9. Rememberyou can use any letter of the alphabet to represent a missing number. It s best not to use x, though why?

  10. Lets review some words to show the four operations: Subtraction minus difference less than fewer than decreased by

  11. Addition plus added to greater than more than increased by total the sum of in all

  12. Multiplication times product at double twice triple of multiplied by

  13. Division divided equally quotient of half of goes into per each

  14. Now, lets try this out! Mrs. Harbour will pass out a graphic organizer/practice sheet, so beeeeeeeee ready to dive in!

  15. OKlets look at this practice organizer. Remember to make notes above the phrases. -the quotient of a number and thirty-one -the product of a number and four -seventy-one more than a number

  16. -the difference between sixty-three and a number -the sum of thirty-five and a number -the quotient of nineteen and a number -a number decreased by twenty-one -the quotient of five and a number

  17. -a number increased by fifty-two -twenty-six more than a number -eighty-three less than a number -fifty-six less than a number -the product of eighty and a number -a number decreased by eighty

  18. You did it!!!

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