Intermediate Algebra (2023)
22 videos
A full Intermediate Algebra course, taught over a year to high school students, covering the ground between a first algebra course and college algebra. The course opens with integers, rationals, order of operations, and the properties of algebra, then works through solving linear equations, absolute value equations, and applications; graphs and equations of lines; inequalities and absolute value inequalities; and systems of equations. The second half turns to properties of exponents, operations on polynomials, factoring, rational expressions, and radicals — including radicals and exponents together — before taking up quadratic equations by radicals, by exponents, and by the quadratic formula, along with their applications. It closes with functions and function operations, logarithms, compound interest, and an introduction to the trigonometric functions. Every topic gets the time it needs, and the test and midterm reviews are included as their own lectures.
Resources
- 1
Lecture 1 (Intermediate Algebra) Integers, Rationals, Order of Operations, and Properties of Algebra
1:32:502 comments
- 2
Lecture 2 (Intermediate Algebra) Solving Linear Equations
1:10:231 comment
- 3
Lecture 3 (Intermediate Algebra) Linear Equations, Absolute Value Equations, and Applications
1:29:23
- 4
Lecture 4 (Intermediate Algebra) Graphs and Equations of Lines
1:16:18
- 5
Lecture 5 (Intermediate Algebra) Solving Inequalities and Absolute Value inequalities
31:47
- 6
Lecture 6 (Intermediate Algebra) Test Review, No New Material
1:05:02
- 7
Lecture 7 (Intermediate Algebra) Solving Systems of Equations
35:48
- 8
Lecture 8 (Intermediate Algebra) Solving Systems of Equations
1:14:35
- 9
Lecture 9 (Intermediate Algebra) Properties of Exponents
41:45
- 10
Lecture 10 (Intermediate Algebra) Adding, Multiplying, and Dividing Polynomials
47:32
- 11
Lecture 11 (Intermediate Algebra) Midterm Review, No New Material
1:09:14
- 12
Lecture 12 (Intermediate Algebra) Factoring
51:11
- 13
Lecture 13 (Intermediate Algebra) Factoring
58:09
- 14
Lecture 14 (Intermediate Algebra) Rational Expressions
1:07:27
- 15
Lecture 15 (Intermediate Algebra) Rational Expressions
58:55
- 16
Lecture 16 (Intermediate Algebra) Radicals
56:191 comment
- 17
Lecture 17 (Intermediate Algebra) Radicals and Exponents
1:28:08
- 18
Lecture 18 (Intermediate Algebra) Solving Quadratic Equations with Radicals and Exponents
36:00
- 19
Lecture 19 (Intermediate Algebra) Quadratic Equations and the Quadratic Formula
1:46:49
- 20
Lecture 20 (Intermediate Algebra) Quadratic Equation Applications
1:00:37
- 21
Lecture 21 (Intermediate Algebra) Functions and Function Operations
1:00:27
- 22
Lecture 22 (Intermediate Algebra) Logarithms, Compound Interest, and Trig Functions
1:06:54