Simplifying by Adding or Subtracting Common Radical Factors
A new guideline for simplifying radicals is introduced: the terms in a fully-simplified radical expression must have no common radical factors. Simplifying a radical expression by adding or subtracting common radical factors is illustrated.
Simplifying to Find a Common Radical Factor
The process of simplifying to find a common radical factor is demonstrated.
Introduction to Variables: x 0 = 0
Letters are used in algebraic equations to represent numbers we do not know the value of yet. These are called variables.
Multiplying Whole Numbers, Part 1: Summary: Multiplying Whole Numbers, Part One
This clip summarizes multiplication of whole numbers, including the relationship between addition and multiplication, the use of arrays, and the results when multiplying numbers by one or zero.
Practical Problem: Subtracting Boxes in a Warehouse
A practical problem solved using subtraction in an algebraic expression.
Subtracting Like Terms
Subtracting like terms demonstrated and applied to a practical problem.
Multiplying Signed Numbers: Multiplying Negative Numbers by Positive Numbers
This clip explains that, as when multiplying whole numbers, we can re-arrange the factors as much as we like when multiplying signed numbers. This enables us to solve multiplication problems in which the first factor is negative and the second posit...
Multiplying Signed Numbers: Multiplying Positive Numbers by Negative Numbers
This clip explains that, to multiply a positive number and a negative number, "
multiply their absolute values and use the negative sign."
Multiplying Signed Numbers: Multiplying Two Numbers With Different Signs
This clip explains that, to multiply two numbers of different signs, in whatever order, "
first, multiply their absolute values, and then use the negative sign. We don't care which comes first, the positive number or the negative number."
Summary of the Addition of Like Terms
Review and practice of adding terms in a simple algebraic expression.