Combining Direct, Joint, and Inverse Variation in a Problem
A problem combining direct, joint, and inverse variation is demonstrated and solved.
Subject: cancel
Transcript: CUBED IS 8. CANCEL. MULTIPLY. D IS 120.
Evaluating a Rational Expression
The method of substituting a value for the variables in a rational expression is called evaluating an expression.
Subject: cancel
Transcript: 'LL SUBSTITUTE 3 FOR EACH A IN THE EXPRESSION. THEN WE'LL SIMPLIFY BY WORKING SEPARATELY WITH THE NUMERATOR AND THE DENOMINATOR. THAT'S IMPORTANT. WE CAN'T CANCEL
Simplifying Complex Fractions
Simplifying a complex fraction results in a single rational expression. Two approaches to simplifying a complex fraction are demonstrated.
Subject: cancel
Transcript: CAN CANCEL THE 8M'S. THE NUMERATOR EQUALS 3. THE DENOMINATOR IS NEXT. 7M SQUARED OVER 2 TIMES 8M. THE 2 AND THE 8 HAVE A COMMON FACTOR, SO WE CAN CANCEL