Catalyst University
General Chemistry | System, Surroundings, & Energy Transfer
How do we define the system? The surroundings? In this video, we explore this along with energy transfer between system and surroundings in the forms of heat and work. We also do a sample calculation of total energy (E = q + w).
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How Do You Know If Two Ratios are Proportional by Reducing?
Working on proportional ratios in your class? This video might be for you! An instructor takes a step-by-step approach to reducing and comparing two ratios in order to determine if they are proportional. A clear video, this resource...
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What are Equivalent Ratios?
Work through a word problem with the help of a video tutor. You'll learn how equivalent ratios are just like equivalent fractions. Write a ratio as a fraction, reduce each ratio, then determine if they are the same. It's as simple as that!
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How Do You Solve a Word Problem by Subtracting Polynomials?
It's not a complicated word problem, but the picture frame just gives the problem a little context. So you are trying to find the difference, which means subtraction. The instructor reviews how to distribute the negative sign to the...
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What is Simplest Form?
Simplest form means that all like terms are combined and that there are no parentheses left in the expression. This video shows a simple example of combining the like terms and writing an expression in simplest form.
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How Do You Subtract Two Rational Expressions with the Same Denominator?
Rational expressions that are in the form of fractions. Yuk! The teacher demonstrates how to subtract one rational expression from the other when the expressions have a common denominator. Combine like terms and write it in simplest form.
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How Do You Add Two Rational Expressions with the Same Denominator?
You have two algebraic fractions to add together so what do you do now? You say yippee because they have a common denominator. This means that all you have to do is combine the like terms in the numerators. This would be a good segment...
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How Do You Simplify an Expression?
If you know how to use the distributive property and you know how to combine like terms, then you can simplify this expression.
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How Do You Determine If Two Ratios are Proportional by Reducing?
Working on proportional ratios in your class? This video might be for you! An instructor takes a step-by-step approach to reducing and comparing two ratios in order to determine if they are proportional. A clear video, this resource...
Curated OER
How Do You Subtract Two Rational Expressions with the Same Denominator?
Rational expressions that are in the form of fractions. Yuk! The teacher demonstrates how to subtract one rational expression from the other when the expressions have a common denominator. Combine like terms and write it in simplest form.
Curated OER
How Do You Simplify an Expression?
If you know how to use the distributive property and you know how to combine like terms, then you can simplify this expression.
Curated OER
How Do You Solve a Word Problem by Subtracting Polynomials?
It's not a complicated word problem, but the picture frame just gives the problem a little context. So you are trying to find the difference, which means subtraction. The instructor reviews how to distribute the negative sign to the...
Curated OER
How Do You Solve a Word Problem by Subtracting and Multiplying Polynomials?
Apply the distributive property to multiply a monomial times a polynomial to get the area of a rectangle. Then use this information to solve a word problem.
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How Do You Turn a Terminating Decimal Into a Fraction?
The instructor demonstrates how to convert a terminating decimal to a fraction. She calculates a base 10 denominator and then reduces the fraction to simplest form.
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How Do You Multiply Monomials?
Use the associative property of multiplication to regroup the like terms in this polynomial multiplication expression. Then multiply the terms and make sure it is in simplest form.
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How Do You Subtract Like Terms?
Subtracting like terms, combining like terms, simplifying an expressions all refer to the same thing. The teacher explains two different methods of simplifying this subtraction expression.
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How Do You Divide Monomials Using Quotient of Powers?
Help your mathematicians learn how to find a quotient through dividing monomials.
They will also learn how to use the quotient of powers rule to simplify. Note: a great video to show to your remedial Algebra learners.
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How Do You Solve an Equation With Fractions With Different Denominators Using Addition?
Find the value of a variable in an equation that has fractions with unlike denominators. Use the addition property of equality first to isolate the variable. Then find the LCD and do the math to make the denominators the same. Now they...
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How Do You Multiply a Monomial by a Polynomial?
The instructor gives an example of how to multiply a monomial times a trinomial. She explains verbally what she is doing but does not write each multiplication step on the board.
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How Do You Find the Area of a Rectangle Whose Sides are a Monomial and a Polynomial?
Yes, it's a real-world word problem, but it's as easy as multiplying a monomial and a polynomial. Then all you have to do is to make sure you write it in simplest form.
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How Do You Multiply a Monomial by a Polynomial?
The instructor gives an example of how to multiply a monomial times a trinomial. She explains verbally what she is doing but does not write each multiplication step on the board.