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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 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.

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

Addition Phrases: 40 times as much as a Chihuahua.

• More than

• Increase by

• Greater than

• Total

• Plus

• Sum

Subtraction Phrases: 40 times as much as a Chihuahua.

• Decreased by

• Difference between

• Take Away

• Less

• Subtract

• Less than*

• Subtract from*

Multiplication Phrases: 40 times as much as a Chihuahua.

• Product

• Times

• Multiply

• Of

• Twice or double

• Triple

Division Phrases: 40 times as much as a Chihuahua.

• Quotient

• Divide

• Divided by

• Split equally

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

Notes 40 times as much as a Chihuahua.

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

Examples 40 times as much as a Chihuahua.

• 3 more than x

• the sum of 10 and a number c

• a number n increased by 4.5

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

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

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

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

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

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)