quiz time!! clear your desk (except for pencil, calculator, and paper - if you want)
TRANSCRIPT
Quiz Time!!Clear your desk (except for pencil,
calculator, and paper - if you want).
Acc. Coordinate Algebra / Geometry ADay 7
Writing Expressions and Translations
Learning Target:Students can understand the “language” of mathematics.
Definitions
Algebraic Expression
• Can have variables, numbers, addition, subtraction, multiplication, division, parenthesis, square roots, exponents…
• Examples: 2
3 2
5 7
5
xx
b c d
xy
Variable
• Symbols or letters used to represent an unknown
• Examples:x
Term• How many items are being added,
subtracted, divided
• Examples: 2
2
5 2 3
2
a xy
P xa b
Like Terms
• Same variable raised to the same power
• Examples:2 2
2 2
5 and 8
7 and 22y
x y x y
y
Coefficient
• The number in front of a variable
• Examples:
3 2
123
9
xy
xy z
x
Exponent
• The number up in the air next to a base
• The number of times you multiply something times itself
• Examples:3
4
2
3
x
y
Base
• What the exponent sits on• The part that has been raised to a
power
• Examples:3
4
2
3
x
y
Constant• A number that has no variable• It can be positive or negative
• Examples:
2 4
42
3 5
5 3 8
x
x y
Factors• Items that are being multiplied
together• Can be numbers, variables,
parenthesis• Examples:
6
9
2 3
3 9
xy
x y
z
Order of Operations• Simplify inside parenthesis • Take care of exponents• In order from left to right, multiplication
or division• In order from left to right, addition or
subtraction
• Example: 25 3 2 1 4
TRANSLATIONS
ADDITION
• Sum• Plus• Add• More Than• Increased• Together
SUBTRACTION
• Difference• Minus• Decreased • Less Than (swaps the order)• Take away
DIVISION
• Quotient• Half• Divide by
MULTIPLICATION
• Product• Twice• Double• Triple• Times
EXPONENTS
• Square • Cubed• To the power of • Raised to a power
TranslateThe sum of a number and 10
TranslateThe product of 9 and x squared
Translate9 less than g to the fourth power
Translate
8 + 3x
Homework
Expressions and Translations