Solving an Equation with the Least Common Denominator: Practice Problem
A problem is presented to practice solving an equation using the least common denominator to get a quadratic equation.
Practical Problem: Machines Working at Different Speeds
The procedure for developing an equation to solve a practical work problem involving machines working at different speeds is detailed. The unknown is identified and an equation is written, solved, and checked.
Measurement and Unit Conversion: Unit Conversion Factors of Time: Hours, Minutes and Seconds
This clip presents unit conversion problems involving sleep that can be solved by utilizing unit equivalences for seconds to minutes and minutes to hours, and then either multiplying or dividing.
Measurement and Unit Conversion: Unit Conversion Factors of Time: Days and Hours
This clip introduces unit conversion factors of time involving days and hours. "It is not important to memorize these factors," the clip explains. "As long as you already know the equivalences, you can figure out the unit conversion factors." The cl...
Measurement and Unit Conversion: Unit Conversion and Cancellation
This clip takes the student through the process of solving problems involving unit equivalences for time. As part of this process, it introduces a number of important terms and concepts, including unit conversion and unit cancellation.
Practical Problem: Runners' Rate of Speed
The rate, time, and distance formula is used to solve a practical problem involving runners' rate of speed.
Shortcut for Simplifying Radicals Before and After Multiplying
To avoid having to find perfect square factors for a large number by multiplying two radicals, first look for a common factor in the radicands that can be factored, then multiply.
Associative Law for Multiplication
The associative law for multiplication: (ab)c = a(bc). The commutative and associative laws for multiplication can be combined. The use the associative and commutative laws together in a multiplication problem is demonstrated.
Exponents: Summary: Exponents
This clip summarizes the key ideas in the exponents lesson, including powers, factors, bases, and the concepts of squared, square root, and cubed. It also explains how all these ideas can be used to develop a new form of expanded notation.
Exponents: Multiplying Expressions With the Same Base
This clip explains that to multiply expressions with the same base, we simply combine or telescope a complicated expression by adding the exponents together. The clip points out that this only works if the bases are the same. If the bases are differ...