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Augmented Matrices

"To solve a system of linear equations, we can use substitution, elimination or something we call augmented matrices. To use matrices to solve a system of linear equations, we first enter the values a ...

Multiplying Exponents

"There are different rules to follow when multiplying exponents and when dividing exponents. If we are multiplying similar bases, we simply add the exponents. If we are dividing, we simply subtract th ...

Multiplying Complicated Polynomials

"When multiplying polynomials, sometimes we come across complicated polynomials that we can use substitution and multiplication to solve. When we have a trinomial where a binomial follows the (a-b)(a+ ...

Atomic Structure

"The Bohr model is a simple model of atomic structure. It is now outdated, but is still useful at the basic level. An atom has a central core called its nucleus which contains its protons (positively ...

Multiplying Complex Numbers

"To simplify expressions by multiplying complex numbers, we use exponent rules for i and then simplify further if possible. Remember that, by definition, i^2= -1, which also means that i ^ 4= 1. If m ...

Atomic Radii - Ionic Radii

"Atomic and ionic radii are distances away from the nucleus or central atom that have different periodic trends. Atomic is the distance away from the nucleus. Atomic radius increases going from top to ...

Multiplication of Vectors

"The addition and scalar multiplication of vectors are basic operations that can be done using their geometric or the algebraic representations. When looking at the geometric representation we can und ...

Motion Along a Line

"We can use the vector equation of a line to describe the motion along a line. We can also rewrite these equations to represent the motion along a line as a parametric equation. In order to create a v ...

Atomic Orbitals

"Atomic orbitals are regions of space in which electrons can be found. Each orbital can fit two electrons and different orbitals have different shapes. The s sub-level has one spherically shaped orbit ...

Money Word Problems

"Setting up a system of equations is usually effective when solving money word problems and word problems involving coins. A knowledge of how to solve systems of equations is necessary to solve these ...

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