Solving Literal Equations: Study Guide with Examples, Exercises, Answer Key
By Oops Math is Fun
ALGEBRA | Enhance your students' understanding of solving literal equations with this in-depth, comprehensive study guide. This study guide is perfect for classroom instruction, independent study, or homework support. An answer key is included to facilitate quick and accurate feedback.
What’s Inside:
Ideal For:
Keywords: Solving Literal Equations, Algebra Study Guide, Multiple Variables, Math Practice, Algebra PDF, Math Answer Key, Middle School Algebra, High School Algebra, Detailed Examples, Isolating Variables.
All documents are produced using LaTeX, providing clean, professional, and easily readable documents. LaTeX is renowned for its ability to produce documents with precise and accurate mathematical typesetting.
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Copyright Terms: This resource cannot be uploaded to the internet, except on password-protected sites accessible only to students. This digital product is the sole creation of OOPS! Math is Fun and is intended for personal use by a single individual only. Redistribution, posting online, resale, or sharing of this product, in part or in whole, is strictly prohibited without prior written consent from OOPS! Math is Fun. Any unauthorized use or distribution may result in legal action.
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Functions limits and continuity | High School Math PowerPoint Lesson Slides
By Building Bright Brains
Are you teaching your High School students about Functions limits and continuity? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 20 total slides for notes, examples and applications.
✦ All steps are animated to allow the teacher to explain them gradually.
Throughout the Lesson, students will be introduced to the following:
✦ Boundary term
✦ Limits at +∞ and -∞ of a function
✦ Limit of a function at one point x=a
✦ Asymptotes
✦ Indeterminate Forms
✦ Continuity of a function at one point x=a
✦ Theorem
✦ Sandwich Rule
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Other Resources:
⤞ Equations & polynomials of the 2nd degree | High School Math PowerPoint Lesson
⤞ Rational and Irrational Functions | High School Math PowerPoint Lesson Slides
⤞ Polynomial Functions | High School Math PowerPoint Lesson Slides
⤞ Scalar Product in Space | High School Math PowerPoint Lesson Slides | Cosine Law
⤞ Numerical Sequence | High School Math PowerPoint Lesson Slides
Order on R-Framing and approximation | High School Math PowerPoint Lesson Slides
By Building Bright Brains
Are you teaching your High School students about Order on R- Framing and approximation? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 11 total slides for notes, examples and applications.
✦ All steps are animated to allow the teacher to explain them gradually.
Throughout the Lesson, students will be introduced to the following:
✦ Order and Operations
(Addition and Subtraction, Multiplication, Division, Square and square root, Reciprocal )
✦ Comparing a positive number with its square , its square root , and its reciprocal
✦ Framing and Operations
This resource is great for:
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⤞ Generalities of Functions (part 1) | High School Math PowerPoint Lesson Slides
⤞ Coordinate System | High School Math PowerPoint Lesson Slides
⤞ Parallel Lines and Planes | High School Math PowerPoint Lesson Slides
⤞ Scalar Product of Vectors | High School Math PowerPoint Lesson Slides
⤞ Statistics Part 2 | High School Math PowerPoint Lesson Slides
⤞ Statistics Part 1 | High School Math PowerPoint Lesson Slides
Numerical Sequence | High School Math PowerPoint Lesson Slides
By Building Bright Brains
Are you teaching your High School students about Numerical Sequence? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 19 total slides for notes, examples and applications.
✦ All steps are animated to allow the teacher to explain them gradually.
Throughout the Lesson, students will be introduced to the following:
✦ General Definition of a numerical sequence
✦ Determination of a sequence
✦ Increasing and decreasing sequences
✦ Methods to study the sense of variation of a sequence
✦ Principle of reasoning by recurrence
✦ Particular Sequences
✦ Arithmetic Sequence
✦ Sum of the first n terms
✦ Geometric Sequence
✦ Calculation of the general term
This resource is great for:
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Other Resources:
⤞ Right Triangle Trigonometry | High School Math PowerPoint Lesson Slides
⤞ Lines and Planes In Space | High School Math PowerPoint Lesson Slides
⤞ Generalities of Functions (part 2) | High School Math PowerPoint Lesson Slides
⤞ Primitives Anti-Derivative | High School Math PowerPoint Lesson Slides
⤞ Derivative of Functions | High School Math PowerPoint Lesson Slides
Powers and Radicals | High School Math PowerPoint Lesson Slides
By Building Bright Brains
Are you teaching your High School students about Powers and Radicals? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 21 total slides for notes, examples and applications.
✦ All steps are animated to allow the teacher to explain them gradually.
Throughout the Lesson, students will be introduced to the following:
✦ Powers Definition
✦ Product of powers
✦ Division of powers
✦ Power of power
✦ Square Root Definition
✦ Solution of equations
✦ The n^th root of a real number
✦ Changing to rational exponent
This resource is great for:
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Other Resources:
⤞ Polynomials | High School Math PowerPoint Lesson Slides
⤞ First Degree of Equations and Inequalities | High School Math PowerPoint Lesson
⤞ Linear System | High School Math PowerPoint Lesson Slides
⤞ Equation of Straight Lines | High School Math PowerPoint Lesson Slides
⤞ Permutations, Combinations, and Counting Principle | High School Math PowerPoint
Scalar Product of Vectors | High School Math PowerPoint Lesson Slides
By Building Bright Brains
Are you teaching your High School students about Scalar Product of Vectors? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 13 total slides for notes, examples and applications.
✦ All steps are animated to allow the teacher to explain them gradually.
Throughout the Lesson, students will be introduced to the following:
✦ Scalar Product Definition
✦ Scalar Product Properties (Commutativity, Distributivity, Product by a real number, Remarkable Scalar products)
✦ Sign of the scalar product
✦ Expression of the cosine of the angle of two vectors
✦ Scalar Product of 2 collinear vectors
✦ Scalar Product of vectors in an orthonormal system
✦ General Relation of Pythagoras
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⤞ Statistics Part 2 | High School Math PowerPoint Lesson Slides
⤞ Statistics Part 1 | High School Math PowerPoint Lesson Slides
⤞ Vectors and Systems in Space | High School Math PowerPoint Lesson Slides
⤞ Vector Product & Vector Mixed Product| High School Math PowerPoint Lesson Slides
⤞ Vectors | Multiplication of a Vector | High School Math PowerPoint Lesson Slides
Linear Functions and Proportionality| PowerPoint Presentation Lesson High School
By Building Bright Brains
Are you teaching your High School students about Linear Functions and Proportionality? This resource is great for you! It includes various methods for solving Directly proportional magnitudes and Inversely Proportional Magnitudes. Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 15 total slides
✦ 10 slides for notes and examples.
✦ 4 slides for application.
✦ All steps are animated to allow the teacher to explain them gradually.
At the end of the lesson, students will be able to
✦ Apply Directly Proportional Magnitudes
✦ Apply Inversely Proportional Magnitudes
✦ Solve situation of proportionality
This resource is great for:
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Other Resources:
⤞ Equation of Straight Lines | High School Math PowerPoint Lesson Slides
⤞ Permutations, Combinations, and Counting Principle | High School Math PowerPoint
⤞ Absolute value and intervals | High School Math PowerPoint Lesson Slides
⤞ Addition of Vectors | High School Math PowerPoint Lesson Slides
⤞ Thales' Theorem | PowerPoint Presentation Lesson slides High School Geometry
Square Roots part 2 | PowerPoint Presentation Math Lesson High School Radical
By Building Bright Brains
Are you teaching your High School students about Square Roots? This resource is great for you! Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 24 total slides
✦ 18 slides for notes and examples.
✦ 5 slides for application.
✦ All steps are animated to allow the teacher to explain them gradually.
At the end of the lesson, students will be able to
✦ Define and explain what a square root is.
✦ Recognize the square root symbol (√) and understand its significance.
✦ Explain some square root properties.
✦ Understand Rules of Calculations.
✦ Expand & Reduce an Expression.
✦ Make comparison of Two Radicals.
This resource is great for:
To check out Square Roots (part 1) click here
-Follow us on TeachShare to be informed with new products and updates.
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Other Resources:
⤞ Powers and Radicals | High School Math PowerPoint Lesson Slides
⤞ Polynomials | High School Math PowerPoint Lesson Slides
⤞ First Degree of Equations and Inequalities | High School Math PowerPoint Lesson
⤞ Rational & Irrational Numbers | PowerPoint Presentation Math Lesson High School
⤞ Fractional Expressions | PowerPoint Presentation Lesson High School Math Algebra
Absolute value and intervals | High School Math PowerPoint Lesson Slides
By Building Bright Brains
Are you teaching your High School students about Absolute value and intervals? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 16 total slides for notes, examples and applications.
✦ All steps are animated to allow the teacher to explain them gradually.
Throughout the Lesson, students will be introduced to the following:
✦ Absolute Value in simple words
✦ Distance between two real numbers
✦ Solve Equations of Absolute Value
✦ Properties of the Absolute Value
✦ Intervals
✦ Solve inequality (less than and greater than)
This resource is great for:
-Follow us on TeachShare to be informed with new products and updates.
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Other Resources:
⤞ Addition of Vectors | High School Math PowerPoint Lesson Slides
⤞ Thales' Theorem | PowerPoint Presentation Lesson slides High School Geometry
⤞ Linear Functions and Proportionality| PowerPoint Presentation Lesson High School
⤞ Systems of Equations | PowerPoint Presentation Math Lesson slides High School
⤞ Equations of Parallel & Perpendicular Line | PowerPoint Presentation Lesson High
Powers Part 2 Algebra | PowerPoint Presentation Math Lesson | Middle School
By Building Bright Brains
Are you teaching your students about Powers? This resource is great for you! Plenty of examples and application exercises are included.
You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦28 total slides
✦Title Slide
✦17 slides for notes and examples
✦10 slides for application
✦All steps are animated to allow the teacher to explain them gradually.
At the end of the lesson, students will be able to
✦Identify the base and exponent of a power.
✦Understand that a power is a repeated multiplication.
✦Write a power in expanded form (repeated multiplication) and vice versa.
✦Apply the rules of exponents, including multiplication, division, and exponentiation of powers.
This resource is great for:
To check out powers- part 1 click here
-Follow us on TeachShare to be informed with new products and updates.
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Other Resources:
⤞ Prime Numbers and Product of Prime Factors PowerPoint Presentation
⤞ Expanding and factorization PowerPoint Presentation
⤞ Fractions PowerPoint Presentation
⤞ Proportions PowerPoint Presentation
Angles in Circles using Tangents | PowerPoint Presentation Lesson | High School
By Building Bright Brains
Are you teaching your High School students about Angles in Circles using Tangents? This resource is great for you! Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦14 total slides
✦Title Slide
✦9 slides for notes and examples
✦4 slides for application
✦All steps are animated to allow the teacher to explain them gradually.
At the end of the lesson, students will understand
✦Relative Positions of a Line & a Circle
✦Tangent(s) Drawn from a Point to a Circle
This resource is great for:
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Other Resources:
⤞ Powers and Radicals | High School Math PowerPoint Lesson Slides
⤞ Polynomials of One Variable | PowerPoint Presentation Math Lesson | High School
⤞ Square Roots part 2 | PowerPoint Presentation Math Lesson High School Radical
⤞ Rational & Irrational Numbers | PowerPoint Presentation Math Lesson High School
⤞ Fractional Expressions | PowerPoint Presentation Lesson High School Math Algebra
Polynomials of One Variable | PowerPoint Presentation Math Lesson | High School
By Building Bright Brains
Are you teaching your High School students about Polynomial Expressions? This resource is great for you! Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 10 total slides
✦ 4 slides for notes and examples.
✦ 5 slides for application.
✦ All steps are animated to allow the teacher to explain them gradually.
At the end of the lesson, students will be able to
✦ Define Polynomial
✦ Add and Subtract Polynomials
✦ Solve Polynomial Equations
This resource is great for:
-Follow us on TeachShare to be informed with new products and updates.
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Other Resources:
⤞ Powers and Radicals | High School Math PowerPoint Lesson Slides
⤞ Polynomials | High School Math PowerPoint Lesson Slides
⤞ Square Roots part 2 | PowerPoint Presentation Math Lesson High School Radical
⤞ Rational & Irrational Numbers | PowerPoint Presentation Math Lesson High School
⤞ Fractional Expressions | PowerPoint Presentation Lesson High School Math Algebra
Generalities of Functions (part 2) | High School Math PowerPoint Lesson Slides
By Building Bright Brains
Are you teaching your High School students about Generalities of Functions (part 2)? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 10 total slides for notes, examples and applications.
✦ All steps are animated to allow the teacher to explain them gradually.
Throughout the Lesson, students will be introduced to the following:
✦ Introduce functions and some of their characteristics
✦ Domain of definition
✦ Representative curve
✦ Parity of Function
✦ Elements of symmetry
This resource is great for:
To check out Generalities of Functions (part 1) click here
-Follow us on TeachShare to be informed with new products and updates.
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Other Resources:
⤞ Right Triangle Trigonometry | High School Math PowerPoint Lesson Slides
⤞ Lines and Planes In Space | High School Math PowerPoint Lesson Slides
⤞ Exponential Functions | High School Math PowerPoint Lesson Slides
⤞ Primitives Anti-Derivative | High School Math PowerPoint Lesson Slides
⤞ Derivative of Functions | High School Math PowerPoint Lesson Slides
Statistics Part 2 | High School Math PowerPoint Lesson Slides
By Building Bright Brains
Are you teaching your High School students about Statistics (Part 2)? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 18 total slides for notes, examples and applications.
✦ All steps are animated to allow the teacher to explain them gradually.
Throughout the Lesson, students will be introduced to the following:
✦ Statistical Vocabulary
✦ Discrete distribution
✦ Continuous distribution
✦ Calculate the mean of this distribution
✦ Determine the increasing cumulative frequency table
✦ Construct the histogram of the frequencies
✦ Construct the polygon of the increasing cumulative frequency
✦ Histogram of Frequencies
✦ Histogram of the Cumulative Frequencies
✦ Polygon of the Frequencies
✦ Graphical Representation of the Mode
✦ Graphical Calculation of the Mode
✦ Graphical Calculation of the Median
✦ Analytic Calculation of the Median
✦ Analytic Calculation of the Mode
This resource is great for:
To check out Statistics (Part 1) click here
-Follow us on TeachShare to be informed with new products and updates.
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Other Resources:
⤞ Vectors and Systems in Space | High School Math PowerPoint Lesson Slides
⤞ Vector Product & Vector Mixed Product| High School Math PowerPoint Lesson Slides
⤞ Vectors | Multiplication of a Vector | High School Math PowerPoint Lesson Slides
⤞ Trigonometric Lines and Circles | High School Math PowerPoint Lesson Slides
⤞ Straight Lines and Planes | High School Math PowerPoint Lesson Slides
Sets and Cartesian Product | High School Math PowerPoint Lesson Slides
By Building Bright Brains
Are you teaching your High School students about Sets and Cartesian product? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 21 total slides for notes, examples and applications.
✦ All steps are animated to allow the teacher to explain them gradually.
Throughout the Lesson, students will be introduced to the following:
✦ Definition of Sets and Elements
✦ Representation of a set (In extension, By comprehension, Venn Diagram )
✦ Types of sets (Empty set , A singleton, A pair )
✦ Subset of a set and its notation
✦ Complement of a set
✦ Intersection and union of two Sets
✦ Sets of numbers (Set of Natural Numbers, Set of integers, The rational numbers, The real numbers)
This resource is great for:
-Follow us on TeachShare to be informed with new products and updates.
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Other Resources:
⤞ Complex Numbers | High School Math PowerPoint Lesson Slides
⤞ Equation of a circle tangent | High School Math PowerPoint Lesson Slides
⤞ Order on R-Framing and approximation | High School Math PowerPoint Lesson Slides
⤞ Generalities of Functions (part 1) | High School Math PowerPoint Lesson Slides
⤞ Coordinate System | High School Math PowerPoint Lesson Slides
Parallel Lines and Planes | High School Math PowerPoint Lesson Slides
By Building Bright Brains
Are you teaching your High School students about Parallel Straight Lines and Planes? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 19 total slides for notes, examples and applications.
✦ All steps are animated to allow the teacher to explain them gradually.
Throughout the Lesson, students will be introduced to the following:
✦ Relative Position of a line and a Plane
✦ Parallel Straight lines Definition and Examples
✦ Parallel Straight lines and Planes Properties
✦ Parallel Planes Definition and Properties
This resource is great for:
-Follow us on TeachShare to be informed with new products and updates.
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Other Resources:
⤞ Scalar Product of Vectors | High School Math PowerPoint Lesson Slides
⤞ Statistics Part 2 | High School Math PowerPoint Lesson Slides
⤞ Statistics Part 1 | High School Math PowerPoint Lesson Slides
⤞ Vectors and Systems in Space | High School Math PowerPoint Lesson Slides
⤞ Vector Product & Vector Mixed Product| High School Math PowerPoint Lesson Slides
Linear System | High School Math PowerPoint Lesson Slides
By Building Bright Brains
Are you teaching your High School students about Linear System? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 17 total slides for notes, examples and applications.
✦ All steps are animated to allow the teacher to explain them gradually.
Throughout the Lesson, students will be introduced to the following:
✦ Algebraic method of solving
✦ Solve graphically the inequality
✦ Graphical Solution of a system of first degree inequalities in two unknowns
✦ Line of equation
This resource is great for:
-Follow us on TeachShare to be informed with new products and updates.
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Other Resources:
⤞ Equation of Straight Lines | High School Math PowerPoint Lesson Slides
⤞ Permutations, Combinations, and Counting Principle | High School Math PowerPoint
⤞ Absolute value and intervals | High School Math PowerPoint Lesson Slides
⤞ Addition of Vectors | High School Math PowerPoint Lesson Slides
⤞ Thales' Theorem | PowerPoint Presentation Lesson slides High School Geometry
Square Roots | PowerPoint Presentation Lesson Slides | Middle School
By Building Bright Brains
Are you teaching your students about Square Roots? This resource is great for you! Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦21 total slides
✦Title Slide
✦14 slides for notes and examples
✦6 slides for application
✦All steps are animated to allow the teacher to explain them gradually.
At the end of the lesson, students will be able to
✦Define and explain what a square root is.
✦Recognize the square root symbol (√) and understand its significance.
✦Calculate the square root of perfect squares (e.g., √4, √9, √16).
✦Solve problems involving square roots.
This resource is great for:
To check out Square Roots (part 2) click here
-Follow us on TeachShare to be informed with new products and updates.
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Other Resources:
⤞ Multiplication and Division of integers PowerPoint Presentation
⤞ Prime Numbers and Product of Prime Factors PowerPoint Presentation
⤞ Expanding and factorization PowerPoint Presentation
⤞ Fractions PowerPoint Presentation
⤞ Proportions PowerPoint Presentation
Vectors and Translations | PowerPoint Presentation Lesson Slides | Middle School
By Building Bright Brains
Are you teaching your students about Vectors and Translations? This resource is great for you! Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦9 total slides
✦Title Slide
✦6 slides for notes and examples
✦2 slides for application
✦All steps are animated to allow the teacher to explain them gradually.
At the end of the lesson, students will be able to
✦Define Vectors
✦Represent vectors using various notations, such as arrow diagrams
✦Understand vector properties in terms of geometry
This resource is great for:
-Follow us on TeachShare to be informed with new products and updates.
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Other Resources:
⤞ Multiplication and Division of integers PowerPoint Presentation
⤞ Prime Numbers and Product of Prime Factors PowerPoint Presentation
⤞ GCF and LCM PowerPoint Presentation Lesson Middle School Math
⤞ Proportions PowerPoint Presentation
Trigonometry Trigonometric Equations | High School Math PowerPoint Lesson Slides
By Building Bright Brains
Are you teaching your High School students about Trigonometric Equations and Signs of trigonometric lines? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.
What is included?
✦ 13 total slides for notes, examples and applications.
✦ All steps are animated to allow the teacher to explain them gradually.
Throughout the Lesson, students will be introduced to the following:
✦ Remarkable angles
✦ Signs of trigonometric lines
✦ Associated Angles
✦ Trigonometric Equations
✦ Polar coordinates from a point
This resource is great for:
-Follow us on TeachShare to be informed with new products and updates.
➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵
Other Resources:
⤞ Sign of The 2nd Degree Polynomials | High School Math PowerPoint Lesson Slides
⤞ Orthogonality In Space | High School Math PowerPoint Lesson Slides
⤞ Functions limits and continuity | High School Math PowerPoint Lesson Slides
⤞ Equations & polynomials of the 2nd degree | High School Math PowerPoint Lesson
⤞ Rational and Irrational Functions | High School Math PowerPoint Lesson Slides