Ellipse standard equation & graph

Given the graph of an ellipse, find its equation, and vice versa.

Foci of a hyperbola from equation

Given the equation of a hyperbola, find its foci.

Matrix dimensions

Determine the dimensions of a given matrix.

New operator definitions 1

Given the definition of a new operator, evaluate an expression that contains that operator.

Equation of a hyperbola from features

Given some features of a hyperbola, find its equation.

Periodicity of algebraic models

Given the graph that models a real world context, answer a question about the periodicity of the graph.

New operator definitions 2

Given the definition of two new operators, evaluate an expression that contains that operator.

End behavior of algebraic models

Given the graph that models a real world context, answer a question about the end behavior of the graph.

Matrix elements

Find specific elements (also called entries) of given matrices.

Compare features of functions

Compare various features between two functions, each represented in a different way.

Foci of an ellipse from radii

Given the major and minor radii of an ellipse, find its foci.

Add & subtract matrices

Find the matrix that is the result of the addition or subtraction of two given matrices.

Represent linear systems with matrices

Determine the matrix that represents a given system of linear equations.

Foci of an ellipse from equation

Given the equation of an ellipse, find its foci.

Manipulate formulas

Solve multivariable formulas for a specific variable in order to solve some word problems.

Matrix row operations

Determine the matrix that is the result of performing a specific row operation on a given matrix.

Multiply matrices by scalars

Find the matrix that is a result of multiplying a given matrix by a given scalar.

Matrix equations: addition & subtraction

Solve equations where the unknown is a matrix, by using matrix addition and subtraction.

Equation of an ellipse from features

Given the foci of an ellipse (and some other feature), find its equation.

Equations & inequalities word problems

Construct an equation or an inequality that model a given context. Modeling expressions can be quadratic, rational, or exponential.
