Hi, Cynthia. I would start by combining like terms on both sides of the equation so that it becomes 2x+4= 4x-10 Next, I would subtract 2x from both sides to get 4=2x-10 I would then add 10 to both sides, resulting...
Hi, Cynthia. I would start by combining like terms on both sides of the equation so that it becomes 2x+4= 4x-10 Next, I would subtract 2x from both sides to get 4=2x-10 I would then add 10 to both sides, resulting...
Hi, Norma. Do the instructions for the problem say something like "expand," "simplify," "multiply," or "write in standard form"? If so, what you need to do is use the FOIL technique. FOIL is an acronym for "first, outside, inside, last"...
Greetings, scholars! Last semester, I took the initiative to refresh my knowledge of physics by taking Physics I for Physical Science Majors from the University of Colorado Boulder via Coursera. Learning physics- even re-learning physics!- can be a formidable challenge. Making the connection between the real world and the symbols on the page isn't always... read more
Greetings, scholars! Usually I reserve my blog for sharing tech tips and practical advice, but the upcoming holiday has me reflecting on how thankful I am for the wonderful teachers I have had over the years. There's Dr. Galvin, who taught me how to think about discrete mathematics, helped me appreciate "vintage" math literature, and showed me the online encyclopedia of... read more
Greetings, scholars! Using flashcards is a tried-and-true method for rote memorization. As a student, I had stacks of index cards with terms on one side and definitions on the other. These cards proved the key to success in subjects like biology and psychology. Flashcards also help in subjects like calculus and chemistry, although memorization is not... read more
Not sure if this counts as a simple way to find the two terms, but you could solve a system of equations, i.e. A+B = 99 A*B= -3870 Solve the system by substitution. I would prefer this method over trial and error.
Greetings, scholars! One of my dad's favorite sayings is, "If something seems too good to be true, it probably is." The website Coursera is an example of why that saying needs the word "probably". The idea of taking real college courses from top-notch instructors at prestigious schools for free sounds impossible, yet students around the world are doing just that. When... read more
Greetings, scholars! The first step to success in any endeavor is having the right tools. Keeping tools organized and handy is equally important, but the overwhelming amount of information in most classes causes even the most powerful tools to get lost in the cluttered garage of facts, formulas, and applications. What we need as mathematical scholars is a neat, uncluttered toolbox where... read more