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Writing Algebraic Expressions

Writing Algebraic Expressions. Objective: Be able to write an algebraic expression for a word phrase or write a word phrase for an expression. Notes. In order to translate a word phrase into an algebraic expression, we must first know some key word phrases for the basic operations.

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Writing Algebraic Expressions

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  1. Writing Algebraic Expressions Objective: Be able to write an algebraic expression for a word phrase or write a word phrase for an expression.

  2. Notes • In order to translate a word phrase into an algebraic expression, we must first know some key word phrases for the basic operations.

  3. On the back of your notes:

  4. Addition Phrases: • More than • Increase by • Greater than • Add • Total • Plus • Sum

  5. Subtraction Phrases: • Decreased by • Difference between • Take Away • Less • Subtract • Less than* • Subtract from*

  6. Multiplication Phrases: • Product • Times • Multiply • Of • Twice or double • Triple

  7. Division Phrases: • Quotient • Divide • Divided by • Split equally

  8. Notes • Multiplication expressions should be written in side-by-side form, with the number always in front of the variable. • 3a 2t 1.5c 0.4f

  9. Notes • Division expressions should be written using the fraction bar instead of the traditional division sign.

  10. Turn around Phrases: • “Subtracted from…” • Ex: 3 subtracted from 10 10 - 3 • “Less than…” • Ex: 7 less than 14 14 – 7

  11. Examples • Addition phrases: • 3 more than x • the sum of 10 and a number c • a number n increased by 4.5

  12. Examples • Subtraction phrases: • a number t decreased by 4 • the difference between 10 and a number y • 6 less than a number z

  13. Examples • Multiplication phrases: • the product of 3 and a number t • twice the number x • 4.2 times a number e

  14. Examples • Division phrases: • the quotient of 25 and a number b • the number y divided by 2 • 2.5 divide g

  15. Examples • converting f feet into inches • a car travels at 75 mph for h hours • the area of a rectangle with a length of 10 and a width of w

  16. Examples • converting i inches into feet • the cost for tickets if you purchase 5 adult tickets at x dollars each • the cost for tickets if you purchase 3 children’s tickets at y dollars each

  17. Examples • the total cost for 5 adult tickets and 3 children’s tickets using the dollar amounts from the previous two problems (problems e and f)

  18. So, if I ask for you to write an expression: • Three times a number, x _______________ • Six less than a number, y ________________ • Four times the quantity of twelve plus a number, s _____________

  19. Let’s try to go backwards. You write an expression: • 3 - j _____________________ • 7(m – 2) ______________________ • 8 + w _________________________

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