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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

Writing Algebraic Expressions

Objective:

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

slide2

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

slide3

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.

notes
Notes
  • In order to translate a word phrase into an algebraic expression, we must first know some key word phrases for the basic operations.
addition phrases
Addition Phrases:
  • More than
  • Increase by
  • Greater than
  • Add
  • Total
  • Plus
  • Sum
subtraction phrases
Subtraction Phrases:
  • Decreased by
  • Difference between
  • Take Away
  • Less
  • Subtract
  • Less than*
  • Subtract from*
multiplication phrases
Multiplication Phrases:
  • Product
  • Times
  • Multiply
  • Of
  • Twice or double
  • Triple
division phrases
Division Phrases:
  • Quotient
  • Divide
  • Divided by
  • Split equally
notes10
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
notes11
Notes
  • Division expressions should be written using the fraction bar instead of the traditional division sign.
examples
Examples
  • Addition phrases:
    • 3 more than x
    • the sum of 10 and a number c
    • a number n increased by 4.5
examples13
Examples
  • Subtraction phrases:
    • a number t decreased by 4
    • the difference between 10 and a number y
    • 6 less than a number z
examples14
Examples
  • Multiplication phrases:
    • the product of 3 and a number t
    • twice the number x
    • 4.2 times a number e
examples15
Examples
  • Division phrases:
    • the quotient of 25 and a number b
    • the number y divided by 2
    • 2.5 divide g
examples16
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

examples17
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
examples18
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)
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