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Writing Algebraic Expressions

Be able to write an algebraic expression for a word phrase or write a word phrase for an expression. Writing Algebraic Expressions. Warm Up Evaluate each algebraic expression for the given value of the variables. ) 7 x + 4 for x = 6 2.) 8 y – 22 for y = 9

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Writing Algebraic Expressions

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

  2. Warm Up • Evaluate each algebraic expression for the given value of the variables. • ) 7x + 4 for x = 6 • 2.) 8y – 22 for y = 9 • 3.) 12x + for x = 7 and y = 4 • 4.) y + 3z for y = 5 and z = 6 46 50 8 y 86 23

  3. Although they are closely related, a Great Dane weighs about 40 times as much as a Chihuahua. An expression for the weight of the Great Dane could be 40c, where c is the weight of the Chihuahua. When solving real-world problems, you will need to translate words, or verbal expressions, into algebraic expressions.

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

  5. On the back of your notes:

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

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

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

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

  10. 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

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

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

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

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

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

  16. Examples 12f • 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 75h 10w

  17. Examples i • 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 12 5x 3y

  18. Examples • the total cost for 5 adult tickets and 3 children’s tickets using the dollar amounts from the previous two problems 5x + 3y = Total Cost

  19. Example The United States House of Representatives has 35 more members than four times the number of members in the United States Senate. Define a variable and write an expression to represent the number of members in the House of Representatives.

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