ALGEBRAIC

EXPRESSIONS

VERBAL DESCRIPTION OF

EXPRESSION IN SYMBOLIC

FORM

ALGEBRAIC EXPRESSION

FROM VERBAL DESCRIPTION

EVALUATING EXPRESSIONS

DEFINITIONS

• Algebraic Expression – contains

symbols, variables, and constants.

• Verbal Expression – sentence from

algebraic expression.

http://www.tutorvista.com/math/verbal-expressions-in-

math

SYMBOLIC - VERBAL

• Look for key words!

• Addition

• Subtraction

• Multiplication

• Division

ADDITION

KEY WORDS FOR ADDITION

http://www.purplemath.com/

modules/translat.htm

SUBTRACTION

KEY WORDS FOR SUBTRACTION

http://www.purplemath.com/

modules/translat.htm

MULTIPLICATION

KEY WORDS FOR MULTIPLICATION

http://www.purplemath.com/

modules/translat.htm

DIVISION

KEY WORDS FOR DIVISION

http://www.purplemath.com/

modules/translat.htm

Symbolic

A÷B a/b

A+B

A-B

A×B ab A∙B

Verbal

“A divided by B”

“A plus B”

“A minus B”

“A times B”

EXAMPLES

• Giving verbal descriptions of

expressions presented in symbolic

form.

• Translate:

3 + b

10ab

3x ÷ b

“Three plus b”

“Ten times a times b”

“Three times x divided by b”

EXAMPLES

• Representing verbal model with

symbols.

“A divided by 2”

“60 miles per hour”

“3 people buy 6 dogs and

2 buy 3”

A÷2 A/2

60mi 60mi/1hr

1 hr

3(6)+2(3)

EXPRESSIONS

• Expressions contain VARIABLES.

•Variables: letters with different values.

•Ex: x² + 4x – 2 Variable: x

SOLVING WITH VARIABLES

1. Substitute # value for variable.

1. (x=3) x² + 4 (3)² + 4

2. Calculate solution by ORDER OF

OPERATIONS. (Left to right.)

P.E.M.D.A.S. (ORDER OF

OPERATIONS)

P - Please

E - Excuse

M - My

D - Dear

A - Aunt

S - Sally

P – Parenthesis

E – Exponents

M – Multiplication

D - Division

A - Addition

S - Subtraction

EXAMPLES

X² + 4x – 2 (x = 3)

1. Substitute # Value.

(3)² + 4(3) – 2

SOLUTION

P. No parenthesis

E. (3)² = 9 9 + 4(3) – 2

M. (4·3) = 12 9 + 12 – 2

D. No division

A. (9 + 12) = 21 21 – 2

S. (21 – 2) = 19 Solution = 19

1. Calculate solution.

MULTIPLE VARIABLES

SOLVE JUST LIKE 1 VARIABLE

1. Substitute # value for variable.

2. Calculate solution by ORDER OF

OPERATIONS. (Left to right.)

EXAMPLE

A = 1 B = -4 C = 10 D = 22 E = -6

A + B - C + D + E

1 + (-4) - 10 + 22 + (-6)

(Left to Right) -3 - 10 + 22 + (-6)

-13 + 22 + (-6)

9 + (-6) = 3 Solution = 3

TA – DA!!!

NOW YOU KNOW HOW TO (1) GIVE

A VERBAL DESCRIPTION FROM

SYMBOLIC FORM (2) WRITE AN

EXPRESSION FROM A

DESCRIPTION AND (3) EVALUATE

EXPRESIONS GIVEN VARIABLES.