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 Two-Step Equations with Distributive Property

PAT: Master Provincial Achievement Test Skills

Operations with Decimals

test

Adding and subtracting decimals

Subtracting Decimals — Data Table

Ordering Decimals — Data Table

Decimals – Word Problem

Adding Decimals

Subtracting Decimals

Multiplying decimals

Multiplying Decimals

Dividing decimals 

Dividing Decimals

Order of operations (BEDMAS)

Mixed Operations with Decimals

Mixed Operations

Identify the Order of Operations

Order of Operations — Word Problem

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Square Roots

Squares and square roots

Square Root of a Perfect Square

Estimating square roots

Rational Numbers

auto-gen

Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

Solving problems with rational numbers in decimal form

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

Introduction to Linear Relations

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Linear Relations

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

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

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

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

Solve Linear Equations Using Distributive Property – Word Problem

Introduction to Polynomials

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

What is a polynomial?

Classifying Polynomials

Polynomial components

Operations with Polynomials

Adding and subtracting 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

Circle Geometry

Angles in a circle

Chord properties 

Tangent properties

Surface Area of 3D Objects

Surface area of 3-dimensional shapes

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

Scale Factors and Similarity

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Symmtery

Line symmetry

Rotational symmetry and transformations

Influencing factors in data collection

Data collection

Probability

Provincial Achievement Test

sample

math

https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-ca-pat.png

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

Distributive property &mdash; two-step linear equations