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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.
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Warm Up ) 7x + 4 for x = 6 2.) 8y – 22 for y = 9 46
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 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:
Addition Subtraction Multiplication Division
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Addition Phrases: More than Increase by Greater than Add Total Plus
Sum
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Subtraction Phrases: Decreased by Difference between Take Away Less
Less than* Subtract from*
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Multiplication Phrases:
Product Times Multiply Of Twice or double Triple
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Division Phrases: Quotient Divide Divided by Split equally
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Notes Multiplication expressions should be written in side-by-side form, with the number always in front of the variable. 3a t c f
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Notes Division expressions should be written using the fraction bar instead of the traditional division sign.
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Examples 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 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 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 Division phrases: the number y divided by 2 2.5 divide g
the quotient of 25 and a number b the number y divided by 2 2.5 divide g
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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
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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
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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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