# Online Math Jumpstart

Welcome! If you are looking for resources to review concepts vital to a strong start in Precalculus & Calculus, I have created the following videos to help. For improved accessibility, I am working to edit the captions on the videos.

If you are accessing these videos to help you prepare for the UC Davis Math Placement Exam, you might be interested in participating in the official Online Math Jumpstart program offered through the Academic Assistance & Tutoring Centers. Click here to find out more!

**Real Numbers**

Finding Common Denominators: Adding Fractions

Finding Common Denominators: Ordering Fractions

Dividing Fractions (including an example with a mixed number)

Converting Percents into Decimals

Converting Decimals into Percents

Finding the Sale Price Given the Original Price

Finding Original Price Given the Sale Price & Percent Discount

Word Problems Involving Proportions: Part 1

Word Problems Involving Proportions: Part 2

Finding Simple Interest Without a Calculator

Signed Fraction Addition or Subtraction

Signed Fraction Multiplication

Exponents and Signed Fractions

**Properties of Exponents**

Evaluating an Expression with a Negative Exponent

Rewriting an Algebraic Expression Without a Negative Exponent

Product Rule with Negative Exponents

Quotient of Expressions Involving Exponents

Quotient Rule with Negative Exponents

Power Rules with Positive Exponents

**Factoring**

Greatest Common Factor of Two Monomials

Factoring Out a Monomial from a Polynomial: Video 1

Factoring Out a Monomial from a Polynomial: Video 2

Factoring a Quadratic with Leading Coefficient 1

Factoring a Quadratic with Leading Coefficient Greater than 1

Factoring a Product of a Quadratic Trinomial and a Monomial

Factoring a Polynomial by Grouping

**Quadratic Equations**

Solving an Equation Written in Factored Form

Finding the Roots of a Quadratic Equation

Finding the Roots of a Quadratic Equation Part 2

Solving a Quadratic Equation Needing Simplification

Solving a Quadratic Equation Using the Square Root Property

Solving a Quadratic Equation by Completing the Square

Applying the Quadratic Formula (warning...Jennifer sings in this video!)

Solving a Quadratic Inequality Written in Factored Form

Solving a Quadratic Inequality

**Lines and Systems**

*Graphing Lines*

Determine whether given points lie on a line

Graphing a Line Given its x & y Intercepts

Graphing a Line Given its Equation in Slope-Intercept Form

Graphing a Line Given its Equation in Slope-Intercept Form Part 2

Graphing a Line Given its Equation in Standard Form

Graphing a Vertical or Horizontal Line

*Equations of Lines*

Finding x- and y-intercepts of a line given the equation

Find Slope Given Two Points on the Line

Writing an equation of a line given the y-intercept and another point

Writing the Equation of a Line Given the Slope and a Point

Writing the Equation of the Line Through Two Given Points

Writing the Equation of the Line Through Two Given Points: Example 2

Finding Slopes of Lines Parallel to a Line

Finding Slopes of Lines Perpendicular to a Line

Writing Equations of Lines Parallel to a Given Line Through a Point

Writing Equations of Lines Perpendicular to a Given Line Through a Point

*Solving Systems of Linear Equations*

Graphically Solving a System of Linear Equations

Solving a System of Linear Equations Using Substitution (One Intersection Point)

Solving a System of Linear Equations Using Substitution (Parallel Lines)

Solving a System of Linear Equations Using Substitution (Same Line)

Solving a System of Linear Equations Using Elimination

**Rational Expressions**

Simplifying Rational Expressions with Addition/Subtraction 1

Simplifying Rational Expressions with Addition/Subtraction 2

Simplifying Rational Expressions with Addition/Subtraction 3

Simplifying Rational Expressions with Addition/Subtraction 4

**Complex Fractions**

Simplifying Complex Fractions: Part 1