Signed Fractions: Adding Signed Fractions
This clip explains that the rules for working with signed fractions are exactly the same as for any other signed numbers. "Wherever you find the negative sign," the clips states, "
move it out in front of the entire fraction, then treat the fractio...
Solving Systems with Substitution
An introduction to using the algebraic method of substitution to solve a system of equations in which one of the equations is not in slope-intercept form.
Associative Law for Addition
The associative law for addition: (a b) c = a (b c).
Adding More Complex Expressions
Demonstration of adding terms in a complex algebraic expression and a practical problem demonstrating application of this skill in the real world.
Adding Signed Numbers: Using Parentheses in Adding Signed Numbers
This clip explains the use of parentheses to eliminate the confusion that might arise if two signs are written next to each other, as when adding a negative number. The clip notes that we don't run into this problem with positive numbers, because in...
Adding Signed Numbers: Summary: Adding Signed Numbers
This clip summarizes how to add signed numbers. It reviews two important rules, one pertaining to addition when the addends have the same sign, the other to addition when the addends have different signs. The clip also revisits the addition of 3 or ...
Addition of Whole Numbers, Part I: Addition Tricks and Hints
This clip presents a variety of hints and tricks that make learning the 100 addition facts simple and automatic. Among these are the identity for addition, and re-grouping addends in the easiest possible order.
Monomials with Exponents Outside of Parentheses
The rule for raising a power to a power is demonstrated in simplifying a monomial in which an exponent is outside parentheses.
Two examples using Parentheses in Algebra
Two examples evaluating the effect of parentheses on algebraic expressions.
Factor: 8x2 10x - 25
Practice factoring a trinomial in which the last term is negative: 8x2 10x - 25.