1. Chapter 5 Section 1
Variable Notation

2. Essential Question What is a solution to an equation?
Can you have multiple solutions?
Can you have no solutions?
Can you have infinitely many solutions?

3. Important Vocabulary
Equation: Symbolic statement that 2 expressions are equal in value
Expression: #s, symbols, and letters grouped together that shows the value of something (no = sign)
Variables: letters that have a certain but unknown value
Factors: numbers or variables that are multiplied
Terms: Algebraic expressions that are single quantities that may form a part of an equation or expression

4. Important Vocabulary Constant: #
Coefficient: numerical factor in front of the variable
Like terms: just numbers, or terms that have same variable (and same power/exponent)

5. Key Words for Mathematical Statements
Addition: sum of, plus, increased by, more than, added to, exceeds, longer, total, heavier, older, wider, taller, gain, greater than, more, expands
Subtraction: less thfan, decreased by, subtracted from, difference between, diminished by, take away, reduced by, less, minus, shrinks, younger, lower, shorter, narrower, slower, loss

6. Key Words for Mathematical Statements
Multiplication: times, multiply, of, the product of, multiplied by
Division: Divide, divided by, divided into, how big is each part, how many parts can be made from
Others: = means “is”

7. Examples: The sum of 6 and a number is 12 4 more than a number is 3
Eight times the difference of a number and 10 is 40
5 less than 4 times a number is -20

8. Examples:
X - 3 = 10
2x = 18
2 + x = 10
4x – 3 = 18