# Math 090

## Rate of Change

The rate of change is a rate that describes how one quantity changes in relation to another quantity. In this tutorial, practice finding the rate of change using a graph. Check it out!

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## Template for Adding and Subtracting Rational Expressions with Different Denominators

## Solving Rational Equations – PatrickJMT

## Template for Solving Rational Equations

## Solving Rational Equations – Bill Witte

## Adding and Subtracting Rational Expressions – PatrickJMT

## Subtracting Rational Expressions

Sal rewrites (-5x)/(8x+7)-(6x³)(3x+1) as (-48x⁴-42x³-15x²-5x)/(8x+7)(3x+1).

## Link to Resource

## Adding Rational Expressions

## Multiplying and Dividing Rational Expressions – Hot Math

## Multiplying and Dividing Rational Expressions – Khan Academy

Sal multiplies and simplifies (3x²y)/(2ab) X (14a²b)/(18xy²). Created by Sal Khan and Monterey Institute for Technology and Education.

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## Multiplying and Dividing Rational Expressions – PatrickJMT

## Multiplying and Dividing Rational Expressions – Bill Witte

## Simplifying Rational Expressions – Hot Math

## Simplifying Rational Expressions – Bill Witte

## Intro to Rational Expressions and Finding Excluded Values

## Quadratic Model Applications – Virtual Nerd

## Quadratic Model Applications – Yamasaki

## Quadratic Model Applications – Bill Witte

## Factoring using the Principle of Zero Products – Purple Math

## Factoring using the Principle of Zero Products – Khan Academy

Sal solves the equation s^2-2s-35=0 by factoring the expression on the left as (s+5)(s-7) and finding the s-values that make each factor equal to zero. Created by Sal Khan and Monterey Institute for Technology and Education.

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## Factoring using the Principle of Zero Products – Bill Witte

## Polynomial Factoring Cards

## General Factoring Strategy – Virtual Nerd

## Factor Trinomial by Trial and Error

This video provides examples of how to factor a trinomial when the leading coefficient is not equal to 1 by using the trial and error method.

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## Factoring Trinomials, a does not equal 1

This Algebra Cruncher generates an endless number of practice problems for factoring trinomials with one prime (to make it a little easier) — with hints and solutions!

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## Factor Trinomials by Grouping

## Factor Out GCF, Continue to Factor, Uses Grouping

Factoring trinomials with a common factor.

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## Factoring by Grouping

This Algebra Cruncher generates an endless number of practice problems for factoring by grouping — with solutions!

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## Factor by Grouping

Sal factors 5rs+25r-3s-15 as (s+5)(5r-3). Created by Sal Khan and Monterey Institute for Technology and Education.

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## Factoring Differences of Squares – Wisc-Online

In this learning activity you’ll factor problems using the difference of two perfect squares.

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## Factoring Differences of Squares – Cool Math

This Algebra Cruncher generates an endless number of practice problems for factoring the difference of two squares — with hints and solutions!

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## Factoring Differences of Squares – Khan Academy

If we expand (a+b)(a-b) we will get a²-b². Factorization goes the other way: suppose we have an expression that is the difference of two squares, like x²-25 or 49x²-y², then we can factor is using the roots of those squares. For example, x²-25 can be factored as (x+5)(x-5). This is an extremely useful method that is used throughout math. Created by Sal Khan and Monterey Institute for Technology and Education.

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## Factoring Trinomials, a = 1 – Cool Math

## Factoring Trinomials, a = 1 – Khan Academy

Can’t get enough of Sal factoring simple quadratics? Here’s a handful of examples just for you! Created by Sal Khan and CK-12 Foundation.

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## Polynomial Divided by a Monomial

Sal divides (18x^4-3x^2+6x-4) by 6x. Created by Sal Khan and Monterey Institute for Technology and Education.

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## Scientific Notation – Hamilton

## Scientific Notation – Purple Math

## Scientific Notation – Bill Witte

## Negative-Integer Exponents – Cool Math

## Properties of Exponents – Cool Math

## Negative-Integer Exponents – Bill Witte

## Properties of Exponents – Bill Witte

## Properties of Exponents – Khan Academy

Learn how to simplify exponents when the numbers are multiplied with each other. We’ll learn that (a*b)^c is the same as a^c*b^c, a^c*a^d is same as a^(c+d) and (a^c)^d is equal to a^(c*d). We will also solve examples based on these three properties. Created by Sal Khan and CK-12 Foundation.

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## Difference of Squares

Sal expands the difference of squares (2x+8)(2x-8) as 4x²-64. Created by Sal Khan and Monterey Institute for Technology and Education.

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## Power Rule for Exponents

Learn how to simplify exponents when the numbers are multiplied with each other. We’ll learn that (a*b)^c is the same as a^c*b^c, a^c*a^d is same as a^(c+d) and (a^c)^d is equal to a^(c*d). We will also solve examples based on these three properties. Created by Sal Khan and CK-12 Foundation.

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## Square of a Binomial

Sal expands the perfect square (7x+10)² as 49x^2+140x+100. Created by Sal Khan and Monterey Institute for Technology and Education.

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## Multiplying Polynomials

## Multiplying Binomials and FOIL

Sal expresses the product (3x+2)(5x-7) as 15x²-11x-14. Created by Sal Khan and Monterey Institute for Technology and Education.

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## Multiplying a Monomial and a Polynomial

Sal multiplies -4x² by (3x² + 25x – 7). Created by Sal Khan and Monterey Institute for Technology and Education.

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## Product Rule of Exponents

When multiplying numbers with common base, add exponents. Created by Sal Khan and Monterey Institute for Technology and Education