Radicand Divided by Another Radicand, A
Simplifying a radical expression by dividing the radical in the numerator by the radical in the denominator.
Rational Numbers Review
In a rational number, the numerator can be any integer and the denominator can be any integer except zero. A rational expression is like a rational number. In a rational expression, the numerator and denominator can be any monomial or polynomial.
Negative Exponents in the Denominator
Simplifying an expression with a negative exponent in the denominator, and a formula that makes it easier.
Practical Problem: How Fast Can Two Workers Mow a Lawn?
A practical problem compares the rate at which two park workers mow the lawn and asks how much lawn the two can mow in an hour. The question is answered by adding rational expressions.
Solving a Quadratic Equation Using the Quadratic Formula
Quadratic equations that cannot be solved by factoring or the square root method can be solved using the quadratic formula. When an equation is in standard form, the values of a, b, and c, including their signs, can be substituted for the letters in...
Practical Problem: Calculate the Children's Dose of a Medication
Using a rational expression to solve a practical problem involving calculating the dose of a liquid medication for a child, given the adult dose and Young's rule.
Summary of the Order of Operations and Use of Parentheses in Algebra
The standard order of operations and the use of parentheses in Algebra are summarized.
Practical Problem: Finding the Amount of Electrical Current
Evaluating a rational expression to find out why a fuse keeps blowing out. Using the formula to find the total resistance of a parallel circuit.
Examples of Simplifying Expressions
Expressions that include a negative exponent can be simplified by first rewriting the expression with positive exponents.
Factoring Before Simplifying a Rational Expression
Examples of factoring before simplifying a rational expression are presented.