Elizabeth Xu

Winsor School

Biography

Hi! I'm Elizabeth, a senior in high school at the Winsor School. I have experience tutoring other high school students in math as well as chemistry.

Education

BA N/A

Winsor School

Topics Covered

Vectors

Vector Calculus

Equations and Inequalities

Trigonometry

The Language of Algebra

Functions

Rational Functions

Exponential and Logarithmic Functions

An Introduction to Geometry

Introduction to Trigonometry

Sampling and Data

The Normal Distribution

Introduction to Combinatorics and Probability

Exponents and Polynomials

Limits

Differentiation

Continuous Functions

Graphs and Statistics

Matrices

Systems of Equations and Inequalities

Introduction to Matrices

Decimals

Parametric Equations

Polar Coordinates

Introduction to Vectors

Complex Numbers

Quadratic Functions

Polynomials

Series

Introduction to Sequences and Series

Fractions and Mixed Numbers

Right Triangles

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

Elizabeth's Textbook Answer Videos

00:55

Algebra and Trigonometry

Which of the following are rational expressions?
$${ (a) } \frac{3 x}{x^{2}-1} \quad \text { (b) } \frac{\sqrt{x+1}}{2 x+3} \quad \text { (c) } \frac{x\left(x^{2}-1\right)}{x+3}$$

Chapter 0: Prerequisites

Section 7: Rational Expressions

00:54

Algebra and Trigonometry

To multiply two rational expressions, we multiply their ______ together and multiply their ______ together.
So $\frac{2}{x+1} \cdot \frac{x}{x+3}$ is the same as ______.

Chapter 0: Prerequisites

Section 7: Rational Expressions

01:30

Algebra and Trigonometry

Yes or No? If $N o,$ give a reason. (Disregard any value that makes a denominator zero.)
\begin{equation}
\begin{array}{l}{\text { (a) Is the expression } \frac{x(x+1)}{(x+1)^{2}} \text { equal to } \frac{x}{x+1} ?} \\ {\text { (b) Is the expression } \sqrt{x^{2}+25} \text { equal to } x+5 ?}\end{array}
\end{equation}

Chapter 0: Prerequisites

Section 7: Rational Expressions

00:36