Unit 1 Flashcards
Steps to Solve Equations
1) Distribute
2) Simplify each side by combining like terms
3) Move variables to one side
4) Solve using inverse operations
Interval Notation
A way to write the solution to an inequality using infinity symbols, parentheses, and brackets.
Parenthesis
Indicate not included or open.
Brackets
Indicated included or closed.
Solving Inequalities
Follow the same rules to solve an inequality as you do an equation.
AND Means
Intersect
Steps to Solve Absolute Value Inequalities
1) Isolate the absolute value expression
2) Create two cases
3) Solve both inequalities
4) Graph your solution and write your answers in interval notation
Relations
A set of ordered pairs that can be shown in a set, table, map, or expressed as a graph.
Discreet
A relation with distinct points.
Continuous
A relation with connected lines or curves.
Function
A relation in which each element of the domain is paired with exactly one element of the range.
Linear Equations in Interval Notation
All real numbers.
Y =
Horizontal, domain is infinity, range isn’t in interval, function
X =
Vertical, domain isn’t in interval, range is infinity, not a function
Function Notation Input
X
Function Notation Output
f(X)
Function Notation Describes
A point
X-Intercept Other Names
The zeros, roots, or solution to the equation
Zero Slope Or Undefined
n/0 is undefined (no), 0/n is always 0
Scatter Plot
Shows the relationship between two variables.
Line of Best Fit
A prediction equation made with positive or negative correlations, can be used to predict the value of a variable given the value of the other variable.
Line of Best Fit Other Name
Linear regression
Function Must Have
NO repeated X-values
Standard Form Must Have
No fractions
