ALGEBRAIC EXPRESSIONS VERBAL DESCRIPTION OF EXPRESSION IN SYMBOLIC FORM ALGEBRAIC EXPRESSION FROM VERBAL DESCRIPTION EVALUATING EXPRESSIONS
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
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
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