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**Writing Algebraic Expressions**

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**How do I convert words into math operations & symbols?**

WORDS Algebraic Expressions Similar to Spanish English ¡Me gusta matemáticas! I like math!

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**Convert the following into an algebraic expression.**

Identify the operation(s) key word(s): less than, plus, sum, etc. Three plus A Answer: 3 + A A

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**Convert the following into an algebraic expression.**

six decreased by Y y Answer: 6 - y

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Let’s Try Another One Convert the following into an algebraic expression. Six less than Y 6 - Y

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Actually… 6-y is incorrect! The phrase states “six less than y” meaning six “taken away from” y, therefore the correct algebraic expression is……. Y - 6

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**The product of eight and t Rearrange: 8 x t 8t Answer Same as saying “eight times t” **

or

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**Five divided by x Answer: 5/x or 𝟓 𝒙 or 5 ÷ x 5 ÷ x**

*Remember ÷ is also / Answer: 5/x or 𝟓 𝒙 or ÷ x ÷ x

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**Which of the following expressions represents three times a number decreased by twelve?**

Answer Now

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**Which one of the following expressions represents 28 less than three times a number?**

Answer Now

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**Let’s Practice! Phrase Expression the sum of nine and eight 9 + 8**

nine decreased by x 9 – x five more than three times x 5 + 3x the product of x and 6 6x seven divided by two times x 7 ÷ 2x or 𝑥 11 less than three times x 3x - 11

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In groups, using the variables, coefficients, and math operations given, write an algebraic expression for…. 1) m increased by 5. m + 5 2) 3 times x. 3x

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**3) twelve less than six times n.**

4) twelve more than six times n. 12 + 6n 5) the quotient of x and twelve.

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**Additional Practice! Write an algebraic expression for each of the following…**

1. Subtract 4 from x. 2. The product of 2 and m 3. Eight more than a twice w. 4. Sixteen less than twice m. 5. Five less than a t. 6. The product of 100 and w 7. Nine less than the product of x and two.

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