Multiply complex numbers by single terms that are either real or imaginary. Students receive immediate feedback and have the opportunity to try questions repeatedly or receive hints.

Practice addition and subtraction with complex numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Given a complex number, find its conjugate or plot it in the complex plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Given two complex numbers (either algebraically or graphically), find their midpoint. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Given two complex numbers (either algebraically or graphically), find their distance. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Identify correctly factored forms of given polynomials. Factorizations may use complex numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Find the magnitude of a vector. You'll see vectors given in graphs, given in component form, and given by initial and terminal points. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...

Solve equations where the unknown is a matrix by using multiplication by a scalar. Students receive immediate feedback and have the opportunity to try questions repeatedly or receive hints.

Find the components of a vector. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Apply what you've learned about vectors to solve some word problems! Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Find the matrix that is a result of multiplying a given matrix by a given scalar. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Find the matrix that is the result of the addition or subtraction of two given matrices. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Find the result of the multiplication of two matrices. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Learn what it means to reduce a rational expression to lowest terms, and how it's done!

This lesson will introduce you to rational expressions. You will learn how to determine when a rational expression is undefined and how to find its domain.

Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a linear binomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x)....

Factor the numerator and the denominator of a rational expression and cancel out common binomial terms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Factor the numerator and the denominator of a rational expression and cancel out common monomial factors. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a monomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students...

Practice the connection between the graphical representation of equations and their algebraic solutions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Fit an algebraic two-variable inequality to its appropriate graph. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Graph two-variable linear inequalities. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Learn how to add or subtract two rational expressions into a single expression.

Check your understanding of how to multiply and divide rational expressions with these problems. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.