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Master Simplifying Rational Expressions: Step-by-Step Guide

Analyze puzzles and games that involve numerical reasoning using problem-solving strategies

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Arithmetic sequences

Arithmetic series

Arithmetic series formula

Geometric sequences

Arithmetic mean vs. Geometric mean

Solve problems that involve SI and imperial units in surface area measurements

Solving quadratic equations by factoring

Solving quadratic equations by completing the square

Using quadratic formula to solve quadratic equations

Solving a quadratic equation with TWO REAL SOLUTIONS

Solving a quadratic equation with TWO COMPLEX SOLUTIONS

Applications of quadratic equations

Conversions between metric and imperial systems

Metric to Imperial Conversions

Imperial to Metric Conversions

Conversions Between Metric and Imperial Systems Speed KM to MI

Conversions Between Metric and Imperial Systems Speed  MI to M

Metric-Imperial Length Conversion Inch To Cm

Metric-Imperial Length Conversion MM/CM/M/KM To FT

Metric-Imperial Length Conversion MM/CM/M/KM To MI

Metric systems

Add and Subtract Mixed Units

Metric Length Conversion

Add or Subtract Different Metric Units Convert to CM

Add or Subtract Different Metric Units Convert to M

Add or Subtract Different Metric Units Convert to MM

Imperial systems

Imperial Length Conversion

Conversions involving squares and cubic

Imperial to Metric Conversions — Squares and Cubes

Imperial Conversion — Squares and Cubes

Metric to Imperial Conversion — Squares and Cubes

Metric Area Conversion FT to CM

Metric Area Conversion Foot to Inch

Metric Area Conversion M/CM to Inch

Solve problems that involve SI and imperial units in volume and capacity measurements

Characteristics of quadratic functions

Quadratic function in general form: y = ax^2 + bx + c

Applications of quadratic functions

Quadratic function in vertex form: y = a(x-p)^2 + q

Solve problems that require manipulation and application of formulas related to volume and surface area

Converting from general to vertex form by completing the square

Shortcut: Vertex formula

Converting general form into vertex form by applying the vertex formula

Vertex Formula Application

Graphing quadratic functions: General form VS. Vertex form

Completing the square

Completing the Square

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Demonstrate an understanding of compound interest

Simple interest

Simple Interest — Word Problem

Basic Concepts of Simple Interest – Word Problem

Borrowing Money for More Than One Year  – Word Problem

Investigate the Advantages of Borrowing Money  – Word Problem

Geometric series

Geometric Series

Infinite geometric series

Finance: Compound interest

Finance: Compound Interest

Demonstrate an understanding of credit options including credit cards and loans

Solving rational equations

Applications of rational equations

Finance: Future value and present value

Solve problems that require manipulation and application of formulas related to simple interest and finance charges

Simplifying rational expressions and restrictions

Adding and subtracting rational expressions

Adding and Subtracting Rational Expressions

Multiplying rational expressions

Multiplying Rational Expressions

Multiplying Rational Expressions in Factored Form

Dividing rational expressions

Dividing Rational Expressions

Dividing Rational Expressions in Factored Form

Solve problems that involve creating and interpreting graphs including bar graphs histograms line graphs and circle graphs

Finding the quadratic functions for given parabolas

Graphing linear inequalities in two variables

Graphing quadratic inequalities in two variables

Graphing systems of linear inequalities

Reading and drawing bar graphs

read and draw bar graphs

Reading Bar Graphs

Reading and drawing histograms

Reading and drawing line graphs

Reading Line Graphs

Grade 11 Essential Mathematics (30S) - Half Course 3

Develop critical thinking skills

Develop an understanding of spatial relationships applied to volume and surface area

Develop an understanding of credit and the effects of interest

Develop statistical reasoning

math

Intro

A rational expression is a fraction that its numerator and/or <a href='[[glossary.html|{"keyword":"Denominator","term":"Denominator"}]]'>denominator</a> are polynomials. In this lesson, we will first learn how to find the non-permissible values of the variable in a rational expression. Then, we will how to simplify rational expressions.

Simplifying algebraic fractions and restrictions

Rules to simplifying rational expressions

Common factors of polynomials

Factoring polynomials: \(ax^2 + bx + c\)

Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Solving polynomial equations