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Master Two-Step Equations with Distributive Property

BC Grade 8 Math: Master Core Concepts & Skills

Square roots and cubic roots

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Square and square roots

Square Root of a Perfect Square

Estimating square roots

Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Cubic and cubic roots

Cubic and cube roots

Cube root of a perfect cube

Pythagorean Theorem

Pythagorean theorem

Using the pythagorean relationship

Applications of pythagorean theorem

Percents

Taxes, discounts, tips and more

Discounts — Word Problem

Taxes — Word Problem

Percentage - Applying a Discount Price– Word Problem

Percentage - Applying a Discount Percent – Word Problem

Percentage - Applying a Tax Total – Word Problem

Percentage - Applying a tax Percent – Word Problem

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

Representing percents

Representing Percents

Representing Percents — Word Problem

Representing Percents Two Graphs – Word Problem

Percents, fractions, and decimals

Conversion — Decimal to Fraction

Conversion — Decimal to Percent

Conversion — Fraction to Decimal

Conversion — Fraction to Percent

Conversion — Percent to Decimal

Conversion — Percent to Fraction

Percents – Word Problem

Convert a Decimal to a Fraction

Convert a Decimal to a Percent

Convert a Fraction to a Decimal

Convert a Fraction to a Percent

Convert a Percent  to a Decimal

Convert a Percent to a Fraction

Percents Fractions And Decimals – Word Problem

Percent of a number

Percent of a Number

percent of a number – Word Problem

Percent of a Number  Fraction Percent

Percent of a Number Integer Percent 

Percent of a number number With Decimal Percent 

Percent of a Number  Three Digits Number Percent

Adding and multiplying percents

Add and Multiply Percents — Word Problem

Add and Multiply Percents – Word Problem

Fractions

Multiplying fractions and whole numbers

Multiply a fraction with a whole number

Multiplying Fractions — with whole numbers — 1 digit

Multiplying Fractions — with whole numbers — 2 digits

Application of Multiplying Fractions and Whole Numbers – Word Problems

Dividing fractions with whole numbers

Divide a fraction by a whole number

Divide a Fraction by a Whole Number

Divide a Fraction by a Whole Number Number RHS

Multiplying proper fractions

Multiply Proper Fractions — 1 Digit Fractions

Multiplying improper fractions and mixed fractions

Multiply Mixed Numbers

Dividing fractions and mixed numbers

Divide Fractions and Mixed Numbers – Word Problem

Dividing Mixed numbers

Dividing Mixed Numbers

Application of fraction operations

Fraction Operations

Cartesian Planes & Linear Relations

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Application of linear relationships

Cartesian plane

Cartesian Plane — Coordinates

Draw on coordinate planes

Linear Equations

Model and solve one-step linear equations ax =b , x/a = b

One-step Linear Equations

One Step Linear Equations — Word Problem

One-step equations

One-step Equations LHS

One-step Equations RHS

Model And Solve One Step Linear Equations Divide – Word Problem

Model And Solve One Step Linear Equations Multiply – Word Problem

Solving two-step linear equations using addition and subtraction: ax+b=c

Two-step Linear Equations

Two-step Linear Equations LHS

Solve Linear Equations Using Addition and Subtraction – Word Problem

Two-step Linear Equations — Word Problem

Solving two-step linear equations using multiplication and division x/a+b=c

Two-step Linear Equations RHS

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

Solve Linear Equations Using Distributive Property – Word Problem

Surface Area

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

Volume

Introduction to volume

Calculate the Volume

Volume of prisms

Find the volume

Volume of Prisms Calculate Area and Volume

Rectangular Prisms Table

Volume of Prisms — Word Problem

Volume of cylinders

Word problems relating volume of prisms and cylinders

Central Tendency

Median and Mode

Median and Mode Table

Median and Mode – Word Problem

Median of an even length list

Median of an odd length list

Mean

Mean Word Problems

Find the Mean

Application of Means

Probability

Determining probabilities using tree diagrams and tables

Probability of independent events

Probability of Venn diagrams

BC Grade 8 Math

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math

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Intro

Ex. 1:

Ex. 2:

Ex. 3:

- Hi and welcome to this question right here. So we&apos;ve got another expression right here and we're going to create a model. To save a little bit of time, I actually did a drawing already. So it's two sets of X minus three and once again, the X in the algebra tiles is a longer piece. It is shaded in because it's positive. The minus three is represented by the empty boxes over here. So we&apos;ve got X minus three. We&apos;ve got one set and two sets because of the two in the front. Then it's equal to there's eight boxes over here, shaded in, right? 
So it represents positive eight. How do we solve the X in this case? Well by using the diagram. Well, we're still going to do it just like algebraically. What happened is we have to move these boxes here first, okay? So that means I'm going to take all of them and I'm going to move them to the other side. What happened is this is actually negative six. If you bring it over, it becomes positive six. So I'm going to grab my red pen right here, right now and I'm going to add a positive six to this side right now. Pretend that you take this guy right here, our negative six. You bring it over, they become positive six. So I'm going to add a one and two and three and four and five and six. Now after I've moved it over, what happened is these guys over here now disappeared, okay? So they are now do not belong to the question anymore. Now I got a X, 2X on this side, and you got 14 on this side. So we're trying to figure out what X equals to, right? Well here we go. We&apos;ve got two sets on each side right now, okay? So what you do is you grab your pen or pencil and just kind of put them all together like that, okay? So that kind of tells you that in each set, see that X right there in the first one? That X equals to... I'll just write the answer down here. 1, 2, 3, 4, 5, 6, 7. It's equal to positive seven and that's the answer for this question. So X equal to seven. If you're not quite sure, plug it back into the equation. Seven minus three is four. Four times two is eight. You get the same answer to the left and the right. This is your answer for this question. Thanks for watching.

Distributive property is an algebra property that we use all the time! When you see equations in the form of a(x+b), you can transform them into ax+ab by multiplying the terms inside a set of parentheses. In this section, we will make use of this property to help us solve linear equations.

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

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

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

Distributive property &mdash; two-step linear equations

Model and solve one-step linear equations: ax = b, x/a = b

Solving two-step linear equations using addition and subtraction: ax + b = c

Solving two-step linear equations using multiplication and division: x/a + b = c