How to Multiply a Monomial by a Binomial | Algebra 1 | HS.A-APR.A.1 🖤💙
In this math video we will learn how to multiply a monomial by a binomial to simplify an algebraic expression. We will be presented with an algebraic expression which represents a monomial multiplied by a binomial (two term expression). We will first review that the expression in the parentheses is in simplest form since the terms are not like terms. We will understand that we need to use the distributive property to simplify the expression. We will discover that the distributive property states to multiply each term inside the parentheses by the factor outside the parentheses. We will perform the distributive property step by step. We will then review that the commutative property of addition states that the order in which you add two values does not change the sum. We will change the order of our terms being mindful of their signs. We will identify the correct solution. An exemplar solution is modeled and explained.
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00:00 Introduction
00:15 The Question
00:44 Understanding the Problem - Terms of an Expression
01:08 What is the Distributive Property?
01:38 Apply the Distributive Property
02:12 Multiply Two Variable Terms
02:24 Multiply a Variable Term and a Constant Term
02:47 What is the Commutative Property?
03:09 Apply the Commutative Property
03:24 The Solution
Question 12 - Grade 10 - 2021 MCAS
MCAS 2021 Grade 10 - Algebra and Functions
Arithmetic with Polynomials & Rational Expressions
Perform Arithmetic Operations On Polynomials
HS.A-APR.A.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations.
a. Perform operations on polynomial expressions (addition, subtraction, multiplication), and compare the system of polynomials to the system of integers when performing operations.
b. Factor and/or expand polynomial expressions, identify and combine like terms, and apply the Distributive property.
HS.A-APR.A.1 - .Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations.
Multiply a monomial and a binomial to identify an equivalent expression.