Writing Algebraic Expressions

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# writing algebraic expressions - PowerPoint PPT Presentation

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

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.
• ) 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

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

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
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)