Linear Relations and Functions, Equations & Inequalities
Exponents and logarithms
Matrices
Polynomials
100
An expression that contains at least one variable.
What is an algebraic expression?
100
The vertical line test can be used to determine if a relation is one of these.
What is a function?
100
The base of the common log.
What is 10?
100
The dimensions of a matrix are read m x n
What is rows by columns?
100
an expression that is a number, a variable, or the product of a number and one or more variables
ex: 5b, -w, 23
not: x + 8, a^-1
What is a monomial?
200
The decimal form of this kind of number is either a terminating or repeating decimal, and can always be written as the ratio of two integers.
What is a rational number?
200
A set of ordered pairs--can be represented as a list, in a table, with a mapping, as a graph, or as an equation or rule.
What is a relation?
200
In order to solve an equation with a variable in the exponent, you must do this.
What is taking the log of both sides?
200
You can multiply any matrix by a constant called a scalar. This operation is called _______ ______
ex: distributive property: c(A+B) = cA+cB
What is scalar multiplication?
200
for any real number 'a' and integer 'm' and 'n', a^m x a^n = a^m+n
What is product of powers?
300
This is a name for the distance from 0 on the number line.
What is the absolute value?
300
Can always be written in the form Ax+ By = C.
What is a linear equation?
300
When log x + log y are combined they become this.
What is log (xy)?
300
Matrices can be used to perform ______
_____ are functions that map points of a preimage onto its image. If the image and preimage are congruent figures, the _____ is an isometry.
What are transformations?
300
a simpler process for dividing a polynomial by a binomial
What is Synthetic division?
400
The word or symbol used to designate that a compound inequality is true if and only if both inequalities are true.
What is "and?" (or symbol ^)
400
The set of all points that are the solution to a linear inequality.
What is a half-plane?
400
An equation that has a positive variable exponent, with a base that is greater than 0, but less than 1 it is this kind of exponential function.
What is decay?
400
When a geometric figure is enlarged or reduced, the transformation is called a ____.
In a ___, all linear measure of the image change in the same ratio
What is a dilation?
400
i
What is the imaginary unit?
500
The graph of a compound inequality containing 'or' is the ____ of the solution sets of the two inequalities
A compound inequality containing the word 'or' is true if one or more of the inequalities is true.
What is the union?
500
These are the steps you follow for this process.
1. Define the decision variables
2. Write the objective function.
3. Write the constraints and then graph the inequalities.
4. Find the coordinates of the vertices (corners) of the feasible region
5. Evaluate the vertices (corners) of the feasible region in the objective function. Use a table.
6. Determine the minimum or maximum values.
What is linear programming?
500
1. Define the variables
2. Write a system of inequalities
3. Graph the system of inequalities
4. Find the coordinates of the vertices of the feasible region
5. Write a function to be maximized/minimized
6. Substitute the coordinates of the vertices into the function
7. Select the greatest or least result. Answer the problem
What is the Linear Programming Procedure?
500
[0 -1]
[1 0] left side counterclockwise rotation
What is a 90 degree rotation?
500
Two complex numbers of the form a + bi and a - bi
product is always a real number