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Curated Video
Multiplying Positive and Negative Integers Using the Distributive Property
This video lesson explains the rules for multiplying a positive integer by a negative integer using the distributive property. It emphasizes the importance of not overlooking the second number when using the distributive property and...
Curated Video
Completing the Square: Algebraic Method for a > 1
In this video, the teacher explains how to complete the square when the coefficient of the quadratic term is greater than one. They demonstrate the process using algebraic steps and provide examples for better understanding.
Curated Video
Using Area Models and the Distributive Property
In this video, the teacher explains how to expand linear expressions with fractions using an area model and the distributive property. They cover important vocabulary such as linear expression and rational coefficients, and also discuss...
Brian McLogan
Given three real zeros, learn how to write the equation of a polynomial
π Learn how to write the equation of a polynomial when given rational zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Curated Video
Understanding Linear Equations: Infinitely Many Solutions
In this video, the teacher explains that linear equations can have infinitely many solutions by transforming them into a simpler form. The properties of equality are introduced, showing that adding, subtracting, multiplying, and dividing...
Math Fortress
Calculus III: Two Dimensional Vectors (Level 8 of 13)
This video is a review of Two Dimensional Vectors. This video goes over properties of vector operations. Properties are also proven geometrically and algebraically.
Curated Video
Expanding Linear Expressions with Rational Coefficients
In this video, we learn how to expand linear expressions with multiplication, addition, and subtraction. We explore the concept of rational coefficients and the importance of combining like terms. The properties of real numbers, such as...
Brian McLogan
How do we add and subtract rational expressions
Learn how to add/subtract rational expressions with monomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Brian McLogan
Solving a linear system by using substitution
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Curated Video
Solving Equations with No Solutions
In this lesson, students will learn how to solve equations with no solutions by using inverse operations. They will understand that a solution is a number that, when plugged into an equation, makes the equation true.
Brian McLogan
Complete the square to find the focus directrix and vertex in conic sections parabola
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...
Brian McLogan
Solving a linear equation with infinite many solutions
π Learn how to solve multi-step equations with parenthesis and variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying...
Brian McLogan
What does it mean to isolate a variable
π Learn all about the processes and definitions for solving linear equations. You will gain a better understanding about the vocabulary and steps used to solve liner equations such as how to isolate an equation and apply inverse...
Curated Video
Properties of Complex Numbers: Extending Real Number Knowledge
This lesson covers the commutative property, associative property, and distributive property, and provides examples of how these properties apply to complex numbers. By extending their knowledge of real number properties, students will...
Curated Video
Solving Single Digit by Multidigit Multiplication Using the Distributive Property
In this lesson, students will learn how to solve single digit by multidigit multiplication problems using the distributive property. The distributive property is a useful trick that makes arithmetic and algebraic math problems easier to...
Brian McLogan
Verifying a trigonometric identity with multiple steps
π Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the left-hand side of the equality sign is equal to the term on...
Why U
Pre-Algebra 08 - Multiplying Negative Numbers
When number systems were expanded to include negative numbers, rules had to be formulated so that multiplication would be consistent regardless of the sign of the operands.
Brian McLogan
How to Use the Distributive Property to Multiply Binomials - Polynomials
π Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the...
Curated Video
Using the Distributive Property to Rewrite Addition Problems as Multiplication Problems
In this video, students learn how to rewrite addition problems as multiplication problems using the distributive property. The example used is combining different colored flowers into equal groups to put into vases. The concept of...
Curated Video
Multiples of a Sum: Using Visual Models
In this lesson, students learn how to write multiples of a sum using a visual model. They are introduced to the concept of equal groups and how they can represent multiples. The lesson also covers the distributive property and how it can...
Brian McLogan
Multiplication of Complex Numbers
In this video series I show you how to multiply complex numbers. Multiplication of complex numbers is similar to multiplication of polynomials as we need to only multiply coefficients by coefficients and our imaginary terms together. We...
Brian McLogan
Solving an equation using the half angle formula of sine
π Learn how to solve equations using half-angle identities. To do this we will replace every trig function with half angles using the identity. Then we will simplify and solve trigonometric functions. To find the values we will use the...
Curated Video
Reverse Distributive Property: Factoring Expressions
In this video, students will learn how to reverse the distributive property by factoring expressions. The teacher explains the common mistakes students make and provides examples to help understand the process.