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Master Multiplying and Dividing Monomials: Step-by-Step Guide

EQAO Grade 9 Math: Master Core Concepts & Skills

Ratios, Rates, and Proportions

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Ratios

Ratios - Find The Missing Value LHS

Ratios - Find The Missing Value RHS

Equivalent Ratios

Rates

Find the Biggest Rate 

Find the Unit Price 

Unit Rate Fill in Box

Find the Quickest Rate 

Unit Rate

Proportions

Proportions — Missing Denominator

Proportions — Missing Numerator

Proportions - Find the Missing Denominator LHS

Proportions - Find the Missing Denominator RHS

Proportions - Find the Missing Numerator LHS

Proportions - Find the Missing Numerator RHS

Square Roots

Squares and square roots

Square Root of a Perfect Square

Estimating square roots

Pythagorean Theorem

Introduction to pythagorean theorem

Using the pythagorean relationship

Applications of pythagorean theorem

Rational Numbers

Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

Solving problems with rational numbers in decimal form

Mixed Operations with Decimals

Mixed Operations

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Solving problems with rational numbers in fraction form

Operations with fractions

Determine square roots of rational numbers

Square roots of rational numbers

Powers and Exponents

Using exponents to describe numbers

Expanded powers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Using exponents to solve problems

Proportional Relationships

Understanding graphs of proportional relationships

Linear relations

Using tables of values to graph proportional relationships

Linear relation

Applications of proportional relationships

Identifying proportional relationships

Linear Ralations

Representing patterns in linear relations

Represent Patterns in Linear Relations Equation Decimal

Represent Patterns in Linear Relations Equation Integer Start From 0

Represent Patterns in Linear Relations Equation Integer Start From 1

Represent Patterns in Linear Relations Equation Negative Decimal

Identify the Linear Equation

Reading linear relation graphs

Solving linear equations by graphing

Solving Linear Equations

Solving linear equations using multiplication and division

Two-step Linear Equations LHS

Two-step Linear Equations RHS

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Introduction to Relations and Functions

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Function notation

Linear Functions

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

Midpoint formula: \(M = ( \frac{x_1+x_2}2  ,\frac{y_1+y_2}2)\)

Midpoint formula

Midpoint formula: <katex>M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)</katex>

Midpoint formula: <katex>M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)</katex>

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

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

Rate of change

Parallel and perpendicular lines in linear functions

Applications of linear relations

Introduction to Polynomials

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Multiplication and Division of Polynomials

Multiplying and dividing monomials 

Divide a monomial by a monomial

Multiply a monomial by a monomial

Multiplying polynomials by monomials

Multiply a polynomial by a monomial

Dividing polynomials by monomials

Introduction to 3-Dimensional Objects

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface Area of Prisms Rectangle

Calculate the Surface Area

Surface area of cylinders

Surface Area and Volume

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

Circle Geometry

Angles in a circle

Chord properties 

Tangent properties

Data Management

Influencing factors in data collection

Classification of data

Characteristics of Quantitative Data

Classify the Level of Measurement

Identify the Level of Measurement

Sampling methods

Sampling Methods

Scatter plots and correlation

Census and bias

Census and Bias

Classifying Bias

Linear Programming

What is linear programming?

Finding Optimal Values Given Constraints In Slope-Intercept Form

Finding Optimal Values Given Constraints In Standard Form

Linear programming word problems

EQAO Grade 9 Principles of Math

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Intro

Multiplying 6x times 2x using calculation and algebra tile model

Multiplying x by negative 5x using algebra and area model

Multiplying monomials (-4y)(3y) with algebra tile model

Multiplying (-2x)(7x) and modeling with algebra tiles

Multiplying two monomials with variables

Multiplying two monomials: 5x times 3x

Multiplying two monomials with negative coefficients

Multiplying monomials with decimals and exponent rules

Multiplying monomials with different variables and decimals

- Hi, welcome to this question right here. So wow we've got fractions. But doesn't matter. The trick is that we go through with our order of operations, okay? Let me just re-write the question right here and take a look quickly in your mind and assess. Nothing to do in this bracket. There's nothing to do in this bracket, okay? Once you're done checking just drop the brackets now and we're going to multiply the terms together. Remember if you're multiplying the stuff inside a bracket the number will go with the number. That's a fraction, but it's okay. You can still take it as a number. So we know this is a negative, that's a positive, so your final answer should have a negative sign, okay? Now that's three over four times 16. You may want to take your work to the side and actually show your work. So that's three quarter times right there times a 16. To find out a real answer you can actually do a little simplification. That's a one and that's a four. Little bit of reducing right there and you get yourself get four times three which is 12, okay? We get a negative 12 to start off, okay? Then what about the x at the very end? Well this is x. That's x. Again in multiplying you want to make sure you're multiplying the same kind, the like terms actually. So x times the x, right? 
Show a little bit of work. Again if you have the same base you just have to add their exponents together. So you get yourself a two on the top and the answer would be just negative 12 with just 1x and to the power of two and this is your final answer for this question. Thanks for watching.

Multiplying monomials with fractions and exponent rules

Dividing a monomial 144x by 6

Dividing 84xy by 4xy by simplifying coefficients and variables

Multiplying and Dividing Monomials: Essential Algebra Skills

What You'll Learn

Multiply monomials by combining coefficients and adding exponents of like bases

Divide polynomials by separating coefficients and subtracting exponents

Apply the commutative property to rearrange terms when multiplying

Simplify expressions involving negative signs, fractions, and decimals

Use polynomial operations to solve for unknown dimensions in geometric shapes

What You'll Practice

Multiplying monomials with positive and negative coefficients

Dividing polynomial terms and simplifying exponents

Creating visual models with algebra tiles to represent multiplication

Solving for missing side lengths and areas using polynomial division

Working with fractions and decimals in polynomial expressions

Why This Matters

Before You Start — Make Sure You Can:

This Unit Includes

20 Video lessons

Practice exercises

Learning resources

Skills

Monomials

Exponent Rules

Polynomial Operations

Commutative Property

Simplification

Geometric Applications

Variable Manipulation