VERBAL EXPRESSIONS TO ALGEBRAIC EXPRESSIONS

R. Buenaventura

WE LOVE SHORT CUTS!

• GTG• BRB• ASL• LOL• RUOK• HAND• NALOPKT• SOTMG

= Got to Go= Be Right Back

= Age, Sex, Location=Laugh Out Loud

=Are you OK?= Have a nice day!

= Not a lot of people know that=Short of time must go

That is why we convert!

Verbal Expressions

Algebraic Expressions

- made up of words and phrases

- a number, variable, or combination of the two connected by a mathematical operation

The sum of a number and

four

x + 4

WHAT’S THIS?

VARIABLE

• is a letter that represents a number.• Don't let the fact that it is a letter throw

you. Since it represents a number, you treat it just like you do a number when you do various mathematical operations involving variables.

• x is a very common variable that is used in algebra, but you can use any letter (a, b, c, d, ....) to be a variable.

KEY WORDS TO SIGNIFY OPERATIONS

• sum• plus • add to • more than• increased by • total 

KEY WORDS TO SIGNIFY OPERATIONS

• difference of• minus• subtracted from• less than• decreased by• less

KEY WORDS TO SIGNIFY OPERATIONS

• product• times• multiply• twice• trice• of 

KEY WORDS TO SIGNIFY OPERATIONS

• quotient• divide• into• ratio• shared equally • split evenly

GUIDED PRACTICE

• The sum of a number and 10.

• The product of 5 and a number.

• 3 less than twice a number

• 15 more than a number

• The quotient of 7 and the product of 3 and a number

• 17 less than the sum of a number and 8.

YOUR TURN

a) Six times a certain number.  

b) Six more than a certain number.

c)  Six less than a certain number.

d)  A certain number subtracted from 6.

e)  A number repeated as a factor three times.  

a)     6n, or 6x, or 6m. Any letter

will do.

b)    x + 6

c)    x − 6

d)    6 − x

e)    x· x· x = x3

MORE CHALLENGING

f)  A number repeated as a term three times.  

g)   The sum of three consecutive whole numbers.  [Hint:  Let x be the

first number.] h)  Eight less than twice a

certain number.  i)  One more than three

times a certain number.  

f)    x + x + x

g)   x + (x + 1) + (x + 2)

h)   2x − 8

i)    3x + 1

ALGEBRAIC EQUATION“IS” = EQUAL

 Write each statement algebraically.

a)  The sum of two numbers is twenty.  

b)  The difference of two numbers is twenty.

c)  The product of two numbers is twenty.  

d)  Twice the product of two numbers is twenty.  

e)  The quotient of two numbers is equal to the sum of those numbers.

 

ALGEBRAIC EQUATION“IS” = EQUAL

a)    x + y = 20

b)    x − y = 20

c)    xy = 20

d)    2xy = 20

e)    x y = x + y