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Precalculus Benchmark Skills: Comprehensive Study Guide

Study Guide - Learn with Videos

Curated lessons matched to your uploaded material – learn every topic step by step.

Intro to Functions & Their Graphs

  • Finding the Domain and Range of a Graph
    5:10
  • Verifying if Equations are Functions
    5:38
  • Relations and Functions
    5:20

Function Operations

  • Multiplying & Dividing Functions
    7:24
  • Adding & Subtracting Functions Example 1
    4:46
  • Adding & Subtracting Functions
    5:56

Quadratic Functions

  • Guided course
    Properties of Parabolas
    07:42
  • Guided course
    Vertex Form
    08:07
  • Guided course
    Example 1
    07:11

Simplifying Radical Expressions

  • Expanding Radicals
  • Radical Expressions with Fractions
    05:45
  • Adding & Subtracting Unlike Radicals by Simplifying
    5:48

Understanding Polynomial Functions

  • Guided course
    Introduction to Polynomial Functions
    06:04
  • Guided course
    Finding Zeros & Their Multiplicity
    03:42
  • Guided course
    End Behavior of Polynomial Functions
    06:08

Graphing Polynomial Functions

  • Guided course
    Graphing Polynomial Functions
    05:25
  • Guided course
    Identifying Intervals of Unknown Behavior
    05:01
  • Guided course
    Example 1
    09:43

Introduction to Rational Functions

  • Guided course
    Intro to Rational Functions
    6:04

Rational Equations

  • Guided course
    Restrictions on Rational Equations
    05:21
  • Guided course
    Introduction to Rational Equations
    05:56

Solving Exponential and Logarithmic Equations

  • Guided course
    Solving Exponential Equations Using Logs
    5:47
  • Guided course
    Solving Exponential Equations Using Like Bases
    4:46
  • Guided course
    Solving Logarithmic  Equations
    5:02

Introduction to Exponential Functions

  • Guided course
    Exponential Functions
    6:13

Introduction to Logarithms

  • Guided course
    Logarithms Introduction
    7:30
  • Guided course
    The Natural Log
    2:51
  • Guided course
    Evaluate Logarithms
    05:15

Introduction to Matrices

  • Example 1
    13:06
  • Guided course
    Example 2
    11:24
  • Introduction to Matrices
    4:35

Determinants and Cramer's Rule

  • Determinants of 2×2 Matrices
    4:36
  • Determinants of 3×3 Matrices
    7:25
  • Cramer's Rule - 2 Equations with 2 Unknowns
    6:54

Two Variable Systems of Linear Equations

  • Example 2
    3:31
  • Solving Systems of Equations - Elimination
    6:48
  • Introduction to Systems of Linear Equations
    4:27

Graphing Systems of Inequalities

  • Systems of Inequalities
    6:19
  • Example 1
    3:55
  • Example 2
    4:37