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

Writing Algebraic Expressions

Objective:

Be able to write an algebraic expression for a word phrase or write a word phrase for an expression.


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  • 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


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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.


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Notes 40 times as much as a Chihuahua.

  • 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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On the back of your notes: 40 times as much as a Chihuahua.


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Addition Phrases: 40 times as much as a Chihuahua.

  • More than

  • Increase by

  • Greater than

  • Add

  • Total

  • Plus

  • Sum


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Subtraction Phrases: 40 times as much as a Chihuahua.

  • Decreased by

  • Difference between

  • Take Away

  • Less

  • Subtract

  • Less than*

  • Subtract from*


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Multiplication Phrases: 40 times as much as a Chihuahua.

  • Product

  • Times

  • Multiply

  • Of

  • Twice or double

  • Triple


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Division Phrases: 40 times as much as a Chihuahua.

  • Quotient

  • Divide

  • Divided by

  • Split equally


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Notes 40 times as much as a Chihuahua.

  • 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


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Notes 40 times as much as a Chihuahua.

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


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Examples 40 times as much as a Chihuahua.

  • Addition phrases:

    • 3 more than x

    • the sum of 10 and a number c

    • a number n increased by 4.5


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Examples 40 times as much as a Chihuahua.

  • Subtraction phrases:

    • a number t decreased by 4

    • the difference between 10 and a number y

    • 6 less than a number z


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Examples 40 times as much as a Chihuahua.

  • Multiplication phrases:

    • the product of 3 and a number t

    • twice the number x

    • 4.2 times a number e


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Examples 40 times as much as a Chihuahua.

  • Division phrases:

    • the quotient of 25 and a number b

    • the number y divided by 2

    • 2.5 divide g


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Examples 40 times as much as a Chihuahua.

  • 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


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Examples 40 times as much as a Chihuahua.

  • 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


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Examples 40 times as much as a Chihuahua.

  • 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)


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