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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