About Us

Why Choose StudyPug

How it works

Pricing

Testimonials

Contact Us

Blog

Basic Math

Algebra

Geometry

Trigonometry

Calculus

Linear Algebra

Differential Equations

Statistics

Chemistry

Organic Chemistry

Physics

Microeconomics

For Students

For Parents

For Home Schoolers

For Teachers

Australia

Canada

Ireland

New Zealand

Singapore

United Kingdom

United States

Sitemap

Terms of Service

Privacy Policy

Master the Art of Simplifying Radicals: Step-by-Step Guide

Grade 10 Math: Master Essential Skills & Concepts

Operations on powers with integral exponents

auto-gen

Product rule of exponents

Exponents: Product rule (a^x)(a^y) = a^(x+y)

Exponents: Division rule: a^x / a^y = a^(x-y)

Exponents: Power rule: (a^x)^y = a^(xy)

Exponents: Power rule

Exponents: Negative exponents

Exponents: Zero exponent: a^0 = 1

Exponents: Rational exponents

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Simplify the power

Negative exponent rule

Combining the exponent rules

Scientific notation

Convert between radicals and rational exponents

Solving for exponents

Prime factorization

Evaluating and simplifying radicals

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Greatest common factors (GCF)

Greatest Common Factor 2 Numbers

Greatest Common Factor 2 Numbers – Word Problem

Least common multiple (LCM)

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Square and square roots

Square Root of a Perfect Square

Cubic and cube roots

Cube root of a perfect cube

Functions and relations: connecting data, graphs, and situations

Introduction to quadratic functions

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Function notation

Characteristics of quadratic functions

Transformations of quadratic functions

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

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

Finding the quadratic functions for given parabolas

Applications of quadratic functions

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

Linear functions: slope and equations of lines

Distance formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance formula: <katex>d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}</katex>

Distance formula

Slope equation: \(m = \frac{y_2-y_1}{x_2- x_1}\)

Slope equation: <katex>m = \frac{y_2-y_1}{x_2- x_1}</katex>

Slope intercept form:  y = mx + b

Slope intercept form: y = mx + b

General form:  Ax  + By  + C = 0

General form: Ax + By + C = 0

Point-slope form: y - y_1 = m(x - x_1)

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

Parallel line equation

Perpendicular line equation

Combination of both parallel and perpendicular line equations

Rate of change

Parallel and perpendicular lines in linear functions

Applications of linear relations

Arithmetic sequences

Arithmetic series

Arithmetic series formula

Systems of linear equations

Solving 3 variable systems of equations by substitution

Solving 3 variable systems of equations by elimination

Linear programming word problems

Word problems relating 3 variable systems of equations

Solving 3 variable systems of equations (no solution, infinite solutions)

System of Equations With No Solution

System of Equations With Infinite Solutions

System of Equations With Infinite Solutions - Extended

Solving systems of linear equations by graphing

Solving systems of linear equations by elimination

Solving systems of linear equations by substitution

System of linear equations

System of linear-quadratic equations

System of quadratic-quadratic equations

Multiplication of polynomial expressions

What is a polynomial?

Classifying Polynomials

Polynomial components

Multiplying monomial by monomial

Multiply a Monomial by a Monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Applications of polynomials

Polynomial factoring

Factoring polynomials: ax^2 + bx + c

Factoring Polynomials: ax^2 + bx + c

Factoring difference of cubes

Factoring sum of cubes

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

Factoring perfect square trinomials

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

Find the difference of squares

Evaluating polynomials

Using algebra tiles to factor polynomials

Solving polynomial equations

Word problems of polynomials

Factor by taking out the greatest common factor

Factor by taking out GCF

Factor by grouping

Factoring difference of squares: \(x^2 - y^2\)

Factoring difference of squares: <katex>x^2 - y^2</katex>

Factoring difference of squares: x^2 - y^2

Factoring trinomials

Factoring Trinomials

Common factors of polynomials

Factoring polynomials by grouping

Solving polynomials with unknown coefficients

Solving polynomials with unknown constant terms

Factoring polynomials: x^2 + bx + c

Applications of polynomials: x^2 + bx + c

Primary trigonometric ratios

Use sine ratio to calculate angles and sides (Sin = o / h)

Use cosine ratio to calculate angles and sides (Cos = a / h)

Combination of SohCahToa questions

Use tangent ratio to calculate angles and sides (Tan = o / a)

Angle in standard position

Coterminal angles

Coterminal Angles

Reference angle

Find the exact value of trigonometric ratios

ASTC rule in trigonometry (All Students Take Calculus)

ASTC rule in trigonometry

Get better math marks with our complete Grade 10 math help &ndash; be it <a href="http://www.edu.gov.on.ca/eng/curriculum/secondary/grades.html">Ontario math curriculum</a>, math curricula of <a href="https://curriculum.gov.bc.ca/curriculum/10-12#m">B.C.</a>, <a href="https://education.alberta.ca/mathematics-10-12/programs-of-study/">Alberta</a>, <a href="http://www.edu.gov.mb.ca/k12/cur/math/index.html">Manitoba</a>, <a href="https://www.curriculum.gov.sk.ca/webapps/moe-curriculum-BBLEARN/index.jsp?lang=en&subj=mathematics&level=foundations10">Saskatchewan</a>, <a href="http://www.ed.gov.nl.ca/edu/k12/curriculum/guides/mathematics/">Newfoundland</a>, or other provinces. We&apos;ve got you all covered!

Just like your class or textbook, our complete help for grade 10 math includes topics such as Trigonometry, Quadratic Equations, Radicals, Factoring polynomials, Linear equations, Linear systems, and more. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest grade 10 math problems. Then, strengthen your understanding with tons of grade 10 math practice. 

All our lessons are taught by experienced grade 10 math teachers. Let&apos;s finish your homework in no time, and ACE that final.

Foundations of Mathematics and Pre-Calculus 10

math

<h2>What is in grade 10 math?</h2>
Coming out of a terrible <a href="[[region_textbook.html|{"textbook_key":"grade9"}]]">grade 9 math</a> experience? Unsettled and unprepared for what&apos;s next? Let us help you break down what to expect next &ndash; StudyPug offers a <a href="[[region_textbook.html|{"textbook_key":"grade10"}]]">comprehensive math 10 provincial tutoring program</a> that will meet your every need. So whether you are coming from grade 10 math Alberta, the Ontario math curriculum, or preparing for B.C. math 10, we&apos;ve got you covered. Learn grade 10 math and breeze through topics like factoring polynomials, linear equations, and quadratic functions. Master radicals, overcome exponents, and conquer your fear of trigonometry as we explore Math 10 in depth.
Understanding grade 10 math will never come as easy as it will with StudyPug! With example-based lessons and 24/7 help with grade 10 math from our renowned tutors, learn new problem-solving skills and observe real world applications of grade 10 math topics. Grade 10 applied math elevates abstract math concepts helping you see relationships with the real world. Always be ready to answer the proverbial question of "when will I ever use this?" and discover a new appreciation of how fun math can be!
That&apos;s Math 10 in a nutshell for you! Access our entire grade 10 math library of lessons, questions and always be prepared for that homework assignment, test, or exam!

<h2>Is grade 10 math hard?</h2>
Not if you study hard! Like any other subject or grade level, grade 10 math questions and content come in various levels of difficulty. What some of you might find super easy the next person might find incredibly hard. To level the playing field, we offer you the greatest grade 10 math online course on the Internet! Let us do the heavy lifting and take that burden of anxiety off your back.
At StudyPug we&apos;ve intentionally sought out the toughest topics and researched the best methods of teaching so that we can bring the best grade 10 math tutoring service to ALL (Yes! Even if you feel like you belong with grade 10 math for dummies). We design and provide simple, straightforward, yet succinct lessons; catering to different learning styles and levels of understanding. We walk step-by-step with you through questions to ensure that you&apos;re receiving a complete grade 10 math review experience. Skip the stress of cramming or the mundane 30-minute video lessons and review high school math with us!
Worried about how hard the last grade 10 math exam you took was? Feeling unsure about how to come back from that ugly letter grade? Read on to find out more about our extensive grade 10 math exam practice tips and exam-taking strategies!

<h2>How to pass grade 10 math?</h2>
Passing grade 10 math may initially seem unmanageable &ndash; with the multitude of topics to review you may be feeling clueless on where to even begin! We want to make sure you&apos;re well prepared so our team at StudyPug has carefully crafted our grade 10 math course to mirror a grade 10 math exam review guide. Forgo those dreary grade 10 math worksheets and join us for fun, easy practice on grade 10 math exam questions!
Begin with our grade 10 math lessons. Start here if you&apos;re feeling especially lost or confused about the topic. Watch these videos in no time and survey the 1000&apos;s of other lessons you may also require to understand the lesson. Some of these grade 10 math lessons are concomitant, so take the time to learn the core concepts before you move on to the next lesson. This may be the reason why you are struggling in the first place!
To give you a taste of what to expect in your grade 10 math test, we dedicate a good portion of our lessons taking you through step-by-step examples. We do this so that you are familiar with questions that you will see in your test or exam. Learn techniques to tackle similar kinds of questions and find out how to avoid making silly mistakes.
Finally, practice with our repository of 936 practice questions! This is a very important part of grade 10 math exam prep, so don&apos;t miss out on this! Test your knowledge and understanding of the topics and see how well you do in this mock test/exam. The more questions you do, the more prepared you&apos;ll be to pass grade 10 math with flying colours!
Stumped during practice? We&apos;re always here with 24/7 help so drop back into one our lessons and learn by example again!

<h2>How to prepare for grade 10 math?</h2>
Getting ahead of the game is always recommended for aspiring students and math keeners! Partnering with StudyPug as your tutor is the best way to do so as we offer a plethora of math courses to prepare you well in advance for the future! Whether you feel like the grade 9 math curriculum is too easy, or find yourself in search of a challenge, or perhaps have had enough of grade 9 math worksheets, StudyPug is here to save you from boredom and grow your potential. Master grade 10 math ahead of time or swing back to refresh your memory on <a href="[[region_textbook.html|{"textbook_key":"grade9"}]]">grade 9 math</a> anytime and everywhere. Many topics learnt in grade 9 math will be expanded on in grade 10 math, so take your time, and have no shame in skipping back.
StudyPug provides you instant access to the entirety of our grade 10 math tutorials, grade 10 math notes and more! Learn grade 10 math online at your own pace with the guidance of our professional grade 10 math tutors. Stop worrying about whether we cover your grade 10 math curriculum or that specific Math 10 textbook (we always do!) and start your prep today! Track your progress with a personal study plan, earn badges, stay engaged and motivated throughout our lessons. Recall that our content builds on top one another, so start from lesson 1 and work your way through the foundations before attempting advanced topics in grade 10 math.
Throughout each lesson, don&apos;t forget to visit our bank of questions to help you sharpen your grade 10 math skills &ndash; challenge yourself each lesson to completing all the questions related to that chapter before moving on as this is the true test to seeing how prepared you are for grade 10 math!

https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-grade10math.png

Intro

Ex. 1:

Ex. 2:

To simplify <a href='[[glossary.html|{"keyword":"Radical"}]]'>radicals</a>, we will need to find the prime factorization of the number inside the radical sign first. Then, move each group of prime factors outside the radical according to the index. The last step is to simplify the expression by multiplying the numbers both inside and outside the radical sign.

Evaluating and simplifying surds

Learn to evaluate and simplify radicals

Squares and square roots

Estimating square roots