TRANSLATING

•Word Phrases to Algebraic Expressions

•Writing Equations

•Translating Equations into Sentences

Phrases and symbols that suggest adding and subtracting.

ADDITION

• Sum• Total• Added to• Increased by• More than

SUBTRACTION

• Difference• Subtracted from• Decreased by• Less than

Phrases and symbols that suggest multiplying and dividing.

MULTIPLICATION

• Product• Times• Multiplied by

DIVISION

• Quotient

• Divided by

( ) a

bab

Try to stay away from using the symbol “X”.

Why?

Because it looks

like a variable.

Write in symbols

• The quotient of (u + 2v) and w.

• The product of 1 and 13

Remember, stay away from the multiplication symbol “x”

( 2 )u v w( 2 )u v

w

1 13 1 13 1(13) (1)(13)

1)

2)

3) 19 less than wWhen using the

Phrases

More than less than Added to subtracted from

TURN THESYMBOLSAROUND

19w4) 13 subtracted from d

13d

5) 10 meters added to the perimeter

p 106) Eight more than a number

n 8

Writing Equations and Formulas

7) Nine times a number subtracted from 95 equals 37.

Let “n” represent “a number”

9n95 37

Words or phrases that suggest “ = “

TranslatingEquations

Has 3Steps

8) Twice the number x decreased by eight equals seventy.

Let “x” represent “the number”

2x 8 70

3Steps

Watch Out!!

We’re not using theLess than or

More than phrase

So translate inorder.

9) The perimeter of a square equals four times the length of the side.

P 4( )sor 4P s

10) The circumference (C) of a circle equals the product of 2, π, and the radius (r).

C ( )( )( )2 ror 2C r

11) The square of the hypotenuse (c) is equal to the sum of the squares of the legs (a) and (b).

2c 2a 2b

12) Translate into words the expression4m – 19

• The product of 4 and a number “m” decreased by 19.

• 4 times a number “m” minus 19.• 19 subtracted from 4 times a number “m”• The difference of 4 times a number “m”

and 19.

When translating from symbols into words, there is more than one way to translate an equation.

13) Translate into words the expression3y + 15 = 14

14) Translate into words the expression12 – 2x = -5

15) Translate into words the expressionA = ½ bh