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How to multiply polynomials with monomials

Eighth Grade Math: Master Core Skills & Concepts

Number Theory

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Understanding the number systems

Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Greatest Common Factors (GCF)

Greatest Common Factor 2 Numbers

Greatest common factors (GCF)

Greatest Common Factor 2 Numbers – Word Problem

Least Common Multiple (LCM)

Least common multiple (LCM)

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Operations with Integers

Multiplying integers

Multiplying 1-digit Integers

Multiplying 2-Digit Integers

Multiplying 1 and 2 Digit Integers

Multiplying 1-digit integers Mixed Sign

Dividing integers

Dividing by 1-Digit Integers

Dividing by 2-Digit Integers

Dividing by 1-Digit Integers Mixed Sign

Dividing by 2-Digit Integers Mixed Sign

Rational Numbers

Absolute value functions

Expressing an Absolute Value Linear Function as a Piecewise Function

Expressing an Absolute Value Quadratic Function as a Piecewise Function

Rational vs. Irrational numbers

Converting repeating decimals to fractions

Exponents and Roots

Using exponents to describe numbers

Expanded powers

Squares and square roots

Square Root of a Perfect Square

Product rule of exponents

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Simplify the power

Solving for exponents

Cubic and cube roots

Cube root of a perfect cube

Scientific Notation

Scientific notation

Ratios and Proportions

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

Proportional Relationships

Understanding graphs of proportional relationships 

Linear relations

Graphing and writing equations of proportional relationships

Linear relation

Applications of proportional relationships

Identifying proportional relationships

Percents

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

Consumer Math

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

Conversions between metric and imperial systems

Metric to Imperial Conversions

Imperial to Metric Conversions

Conversions Between Metric and Imperial Systems Speed KM to MI

Conversions Between Metric and Imperial Systems Speed  MI to M

Metric-Imperial Length Conversion Inch To Cm

Metric-Imperial Length Conversion MM/CM/M/KM To FT

Metric-Imperial Length Conversion MM/CM/M/KM To MI

Conversions involve squares and cubic

Imperial to Metric Conversions — Squares and Cubes

Imperial Conversion — Squares and Cubes

Metric to Imperial Conversion — Squares and Cubes

Conversions involving squares and cubic

Metric Area Conversion FT to CM

Metric Area Conversion Foot to Inch

Metric Area Conversion M/CM to Inch

Measurement

Metric systems

Add and Subtract Mixed Units

Metric Length Conversion

Add or Subtract Different Metric Units Convert to CM

Add or Subtract Different Metric Units Convert to M

Add or Subtract Different Metric Units Convert to MM

Imperial systems

Imperial Length Conversion

Data and Graphs

Reading and drawing bar graphs

read and draw bar graphs

Reading Bar Graphs

Reading and drawing histograms

Reading and drawing line graphs

Reading Line Graphs

Box-and-whisker plots and scatter plots

Reading and drawing Venn diagrams

Stem-and-leaf plots

Stem and leaf plots

The Leaf and Stem of Numbers

Recognizing the Leaf and Stem of Numbers

Recognizing The Leaf And Stem of Numbers Leaf

Recognizing The Leaf And Stem of Numbers Stem

Reading Stem and Leaf Plots — Median

Reading Stem and Leaf Plots — Range

stem and leaf plots Range

Reading Stem and Leaf Plots

Reading Stem and Leaf Plots — Mean

Reading Stem and Leaf Plots — Mode

Pythagorean Theorem

Pythagorean theorem

Using the pythagorean relationship

Word problems of pythagorean relationship

Coordinate Graphs

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

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8th Grade Math

math

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<ul type="disc">
<li>Understanding the Number Systems</li>
<li>Absolute Value Functions</li>
<li>Adding and Subtracting Rational Expressions</li>
<li>Using Exponents to Describe Numbers</li>
<li>Ratios</li>
<li>And More</li>
</ul>
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Multiplying polynomials by monomials

What You'll Learn

Multiply monomials by polynomials using the distributive property

Apply the area model to visualize polynomial multiplication

Combine terms correctly when multiplying expressions with multiple variables

Recognize that each term in the polynomial must be multiplied by the monomial

Simplify polynomial products involving decimals, fractions, and negative terms

What You'll Practice

Multiplying single-term expressions by binomials and trinomials

Using area models to set up and solve multiplication problems

Working with decimal coefficients and mixed variable terms

Solving word problems involving rectangular areas and dimensions

Why This Matters

Before You Start — Make Sure You Can:

This Unit Includes

10 Video lessons

Practice exercises

Skills

Polynomials

Monomials

Distributive Property

Area Model

Algebraic Multiplication

Simplifying Expressions

Variables