1.1/2 Quiz Flashcards
Solving Equations Steps
1) Distribute
2) Simplify each side by combining like terms
3) Move variables to one side
4) Solve using inverse operations
Solving Fraction Equations
Find LCD, multiply to every variable, then simplify fractions
When Clearing Fractions in Equations
You can ALWAYS distribute first
Solving Equation Special Cases
In both, variables are gone
Proportions
When one fraction is equal to another, you cross multiply
An Absolute Value Can Not Be
A negative number inside the absolute value
Steps to Solve Absolute Value Equations
1) Isolate the absolute value expression
2) Create two cases (set the inside equation to both positive and negative value of the answer)
3) Solve both equations
4) Check for extraneous solutions
Interval Notation Examples
Parenthesis, open dot, not equal to, means open
Brackets, closed dot, equal to, means closed
Interval Notation
A way to write the solution to an inequality using infinity symbols, parenthesis, and brackets
Infinity
Boundless, uses parenthesis, written where you come from
Solving Inequalities
Follow the same rules, but flip the symbol if you multiply or divide by a negative number
OR
Meaning union, solve each part and then graph both solutions separately
AND
Meaning intersect, solve both and then graph into one solution using only numbers
AND with a
Separate into three sections to solve and use numbers
Always Read From
Variables