Unit 2 Vocabulary Flashcards
Translate into an equation: “Five times the difference of twice a number and three, decreased by the sum of the number and eight, equals thirteen
5(2n - 3) - (n + 8) = 13
What are the three steps to solve a Multi-Step equation?
- Distribute (if necessary)
- Combine Like Terms
- Solve
What are the four steps to solve a Multi-Step equation with variables on both sides?
- Distribute (if necessary)
- Combine Like Terms
- Move variables to the same side.
- Solve
When 4 equals 2, how many solutions are there?
No Solution because the statement will always be false
When 5 equals 5, how many solutions are there?
Infinitely Many because it the statement will always be true
When x = 8, how many solutions are there?
One, it is that x will always equal 8
What are the three seteps to solve a proportion?
- Cross Multiply
- Distribute (if necessary)
- Solve
What are the 5 properties of equality?
Addition, Subtraction, Multiplication, Division, and Distribution
When solving an absolute value equation what is always the first step?
To re-write the equation so the absolute value piece is isolated on one side
What are Literal Equations?
Equations with multiple variables
To solve literal equations, what hints are helpful to know?
To solve by applying PEMDAS backwards and remove fractions by multiplying by the reciprocal
What does consecutive mean?
One after another
Sum means to …
Add
Difference means to …
Subtract
Product means to …
Multiply
Quotient means to …
Divide
Less Than means to …
Subtract but swap the order given
More Than means to …
Add but swap the order given
Twice or double means to …
Multiply by 2
Triple means to …
Multiply by 3
Is means …
Equals
Interval Notation is …
Another way to express the answer to an inequality
Parenthesis means …
“not included” or “open”
Brackets means …
Included or “closed”
Parenthesis uses what kind of circle?
Open
Brackets uses what kind of circle?
Closed
When putting an inequality symbol into interval notation, what is used with them?
Parenthesis
What is a compound inequality?
Two inequalities (or more) joined together with an “and” or “or”
“OR” Inequalities tend to graph in what direction?
Away from eachother
“AND” Inequalities tend to graph in what direction?
Towards eachother
When solving inequalities what happens when you multiply or divide by a negative number?
The inequality sign flips and points in the other direction
