Brian McLogan
Is it a polynomial with two variables
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a...
Brian McLogan
Simplify an expression use rules of exponents - free online tutoring
👉 Learn how to simplify expressions using the product rule of exponents. The product rule of exponents states that the product of powers with a common base is equivalent to a power with the common base and an exponent which is the sum of...
Brian McLogan
Multiplying in scientific notation with negative exponents
👉 Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first...
Curated Video
Generating Pythagorean Triples Using the Identity
In this video, the teacher explains how to generate Pythagorean triples using a mathematical identity. They also clarify common misconceptions about order of operations when simplifying expressions.
Curated Video
How to Perform Order of Operations with Parentheses
In this short math video we will review how to perform order of operations with parentheses to find the value of an expression. We will begin by review PEMDAS - parentheses, exponents, multiply & divide in order from left to right, and...
Brian McLogan
Evaluating a Logarithm To a Fraction Without a Calculator
👉 Learn how to evaluate logarithms with fractions. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n =...
Curated Video
Solving Multi-Step Problems with Positive and Negative Fractions
This video lesson teaches students how to solve multi-step problems involving positive and negative fractions using the order of operations. It emphasizes the importance of understanding the order of operations and provides examples of...
Brian McLogan
Solving Exponential equations
👉 Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Curated Video
Using Exponents to Find Area and Volume
In this video, we learn how to use exponents when finding the area and volume of shapes. The teacher explains that for a square, we multiply the side length by itself to find the area. For a cube, we multiply the length, width, and height.
Brian McLogan
Rewriting an expression by simplifying using rules of exponents
👉 Learn how to simplify expressions using the quotient rule and the negative exponent rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base...
Brian McLogan
Dividing monomials
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the...
Curated Video
Exponents part 2: Exponent Laws
Now that you understand what an exponent is, it's time to learn the exponent laws and review examples of these laws in action.
Brian McLogan
How to solve rational equations
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we...
Curated Video
Evaluating Expressions with Integers
Apply order of operations to evaluate expressions with integers.
Curated Video
Identify Equivalent Numerical and Word Expressions
In this video, the teacher helps students understand how to compare numerical and word expressions in a standardized math test question. They go through six answer choices and explain which three are correct, using order of operations...
Curated Video
Evaluating Algebraic Expressions
Evaluate algebraic expressions with two or more variables and multiple steps.
Curated Video
Writing Equivalent Radical and Rational Exponent Expressions
In this lesson, students will learn how to rewrite expressions with integer exponents and radicals. They will understand the relationship between rational exponents and radicals, and how to simplify expressions by combining like terms...
Curated Video
Find the Value Using Order of Operations
In this video, the teacher demonstrates how to solve a standardized math test question using the order of operations. The acronym PEMDAS is used to remember the order in which to evaluate expressions with multiple mathematical operations...
Brian McLogan
How do like terms allow us to simplify expressions
👉 Learn how to add and subtract polynomials by combining like terms. Identifying like terms allows us to combine terms. Like terms are when terms share the same base and power for each variable. When you have like terms you simply apply...
Catalyst University
Real Gas Behavior | Fugacity & Equilibrium
Fugacity can be related to the equilibrium constant just like pressure. In this video, we derive an expression for the Kf (fugacity equilibrium constant) using Kp and the fugacity coefficients.
Brian McLogan
Calc Unit 4 Learn how to take the integral with a fraction power
Calc Unit 4 Learn how to take the integral with a fraction power
Curated Video
Reading and Writing Equivalent Expressions with Variables and Exponents
The video explains how to read and write equivalent expressions using variables and exponents. It covers the basics of algebraic expressions and introduces the concept of exponents and the order of operations. The video also provides...
Curated Video
Evaluating Expressions with Exponents: Understanding the Order of Operations
This video provides examples and emphasizes the importance of following the correct order to obtain accurate results. By understanding and applying the order of operations correctly, students can solve mathematical problems and avoid...
Curated Video
Writing Expressions with Exponents to Solve Problems
In this video, the teacher explains how to write numerical expressions using exponents to solve problems. They use the example of choosing between receiving $4.00 that doubles daily for four days or accepting a total payment of $50.00...