# Evaluating Expressions and Translating Verbal Phrases into Algebraic Expressions

This lesson focuses on evaluating expressions that contain variables and translating verbal phrases into algebraic expressions. Students will learn the meaning of operation vocabulary such as

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## About Evaluating Expressions and Translating Verbal Phrases into Algebraic Expressions

PowerPoint presentation about 'Evaluating Expressions and Translating Verbal Phrases into Algebraic Expressions'. This presentation describes the topic on This lesson focuses on evaluating expressions that contain variables and translating verbal phrases into algebraic expressions. Students will learn the meaning of operation vocabulary such as. The key topics included in this slideshow are . Download this presentation absolutely free.

## Presentation Transcript

Slide1Objective:Evaluate expressions containing variables and translate verbal phrases into algebraic expressions.

Slide2+- x  plus sum more than increased by total in all minus difference less than subtract decreased by times product multiplied each of divided quotient Operation Vocabulary – What Each Sign Means

Slide3ExamplesTranslate each phrase into an algebraic expression. a. a number decreased by eight Let n represent the number. The words ‘decreased by’ suggests subtraction. The algebraic expression is n – 8. b.  seven more than twice as many dollars. Let d represent dollars. The words ‘more than’ suggest addition and the word twice is another way of saying ‘two times’. The algebraic expression is  7 + 2d  or  2d + 7

Slide4ExamplesTranslate each phrase into an algebraic expression. c. a number increased by eight Let b represent the number. The words ‘increased by’ suggests addition. The algebraic expression is b + 8. d. 15 plus the quotient of 20 and x. The word ‘plus’ means addition. The words ‘quotient’ suggest divide. The algebraic expression is  15 + 20/x  or  20/x + 15

Slide5ExamplesTranslate each algebraic expression into a phrase. e. 7h Two things beside each other mean multiply. Answer:   seven times h  or  seven multiplied by h f. 5 - x What you have to be careful about here is that you get your words in the right order.  Are you subtracting 5 from x or x from 5?  Whatever is second is being subtracted from the first. Answer:  x subtracted from 5 g. 3m + 2 Answer:   two added to three times m OR                 two more than three times m OR                       three times m plus 2                        There are several different ways to write this!

Slide6A Little Harder…Draw a picture representing a rectangle whose  length is eight less than four times its width . Write an expression for the perimeter of the rectangle. We know something about the length but have no clue about width, so…width is our variable. w Eight less than  means subtract.  Four times means multiply.  So subtract eight FROM four times. 4w - 8 Now, how do you find perimeter? Add up all the sides! w + w + 4w – 8 + 4w – 8 Do you remember how to combine like terms?                         10w - 16