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## PowerPoint Slideshow about 'writing algebraic expressions' - Thomas

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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.

- 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.

Addition Phrases:

- More than
- Increase by
- Greater than
- Add
- 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

- Addition phrases:
- 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)

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