Equation
- Math sentence that states two quantities are equal.
- It will have an equal sign
Variable
- letter that represents a number we don't know yet
- Every variable has a coefficient
Coefficient
- Number multiplied by the variable.
- can be positive or negative
Constant
Number with no variable attached.
Term
- single number
- single variable
- product of a number (coefficient) and variable(s)
Standard Form
- Alphabetic Order
- Constant last
expression
- group of terms
- contains numbers, operations, and variables
- DOES NOT contain an equal sign
inequality
A statement that contains the symbols:
< = less than
>, = greater than
?,? = less than or equal to & greater than or equal to
How to evaluate an expression
- write the expression
- insert the parentheses around the variable
- remove the variable, and
- substitute the given value inside the parentheses
- follow GEMDAS to evaluate
Translate Expressions and Equations
- Identify KEY WORDS that indicate the operation
- Write the numbers/variables in the CORRECT ORDER
Addition
- More than
- Increase by
- greater than
- add
- total
- plus
- sum
subtraction
- decreased by
- difference between
- take away
- less
- subtract
- less than
- subtract from
- difference
Multiplication
- product
- times
- multiply
- of
- twice or double
- triple
Division
- Quotient
- Divide
- Divided by
- Split Equally
- Ratio
Order of Operations
- Take it ONE STEP at a time
GEMDAS
1) Grouping symbols,
2) exponents,
3) multiply/divide,
4) add/subtract
PEMDAS
Parenthesis (. ) [. ] { }
Exponents 2(3)= 2x2x2
Multiply: left to right
Divide: left to right
Add: left to right
Subtract: left to right
Equation
- Math sentence that states two quantities are equal.
- It will have an equal sign
Variable
- letter that represents a number we don't know yet
- Every variable has a coefficient
Coefficient
- Number multiplied by the variable.
- can be positive or negative
Constant
Number with no variable attached.
Term
- single number
- single variable
- product of a number (coefficient) and variable(s)
Standard Form
- Alphabetic Order
- Constant last
expression
- group of terms
- contains numbers, operations, and variables
- DOES NOT contain an equal sign
inequality
A statement that contains the symbols:
< = less than
>, = greater than
?,? = less than or equal to & greater than or equal to
How to evaluate an expression
- write the expression
- insert the parentheses around the variable
- remove the variable, and
- substitute the given value inside the parentheses
- follow GEMDAS to evaluate
Translate Expressions and Equations
- Identify KEY WORDS that indicate the operation
- Write the numbers/variables in the CORRECT ORDER
Addition
- More than
- Increase by
- greater than
- add
- total
- plus
- sum
subtraction
- decreased by
- difference between
- take away
- less
- subtract
- less than
- subtract from
- difference
Multiplication
- product
- times
- multiply
- of
- twice or double
- triple
Division
- Quotient
- Divide
- Divided by
- Split Equally
- Ratio
Order of Operations
- Take it ONE STEP at a time
GEMDAS
1) Grouping symbols,
2) exponents,
3) multiply/divide,
4) add/subtract
PEMDAS
Parenthesis (. ) [. ] { }
Exponents 2(3)= 2x2x2
Multiply: left to right
Divide: left to right
Add: left to right
Subtract: left to right