Equation with Binomials in the Denominators, An
The solution to an equation with binomials in the denominators is detailed and checked.
Subject: fraction
Equation with Rational Expressions: Practice Problem
A problem to practice solving a equations with a rational expression.
Subject: fraction
Transcript: . WE'LL START BY FINDING THE LEAST COMMON DENOMINATOR OF THE FRACTIONS IN THE EQUATION. IT'S 2X, SO WE'LL MULTIPLY BOTH SIDES OF THE EQUATION BY 2X
Equation with No Solution, An
An equation with binomials in the denominators is solved. When the solution is checked, we find that it is not an allowable solution.
Subject: fraction
Transcript: FRACTIONS. THE LEAST COMMON DENOMINATOR OF THESE EXPRESSIONS IS X MINUS 5. SO WE'LL MULTIPLY THE EQUATION BY X MINUS 5. NOW LET'S WORK ON THE LEFT SIDE OF THE
Estimating Radicals to Set a Safe Speed Limit
A practical problem involving setting a speed limit is solved that involves estimating radicals to find the value of an irrational solution.
Subject: fraction
Transcript: COEFFICIENT OF THE FIRST TERM IS NOT A FRACTION. TO GET RID OF THE FRACTION, WE'LL MULTIPLY EACH TERM IN THE EQUATION BY 20. NOW WE CAN SOLVE THE EQUATION. WE
Example of Solving Systems with Fractions
Solving another system of equations using multiplication and the least common denominator to find the solution.
Subject: fraction
Transcript: NARRATOR: SOMETIMES SYSTEMS WITH FRACTIONS SEEM MORE DIFFICULT TO SOLVE THAN SYSTEMS WITH WHOLE NUMBERS. BUT WE SOLVE SYSTEMS LIKE THIS USING THE
Examples of Division Problems with Radicals
Two division problems with radicals are demonstrated.
Subject: fraction
Simplifying Complex Fractions
Simplifying a complex fraction results in a single rational expression. Two approaches to simplifying a complex fraction are demonstrated.
Subject: fraction
Transcript: NEXT, WE'LL LOOK AT SIMPLIFYING ANOTHER KIND OF EXPRESSION. IT'S CALLED A COMPLEX FRACTION. THE EXPRESSION 3 OVER 8M OVER THE EXPRESSION 7M SQUARED
Using Factoring to Solve an Equation
An equation is presented for solution in which factoring must be used. The solution is detailed and checked.
Subject: fraction
Transcript: EQUATION WITH NO FRACTIONS. TO SOLVE IT, WE'LL SIMPLIFY THE FACTORS ON THE LEFT SIDE OF THE EQUATION. X MINUS 2 TIMES 2X MINUS 3 IS 2X SQUARED MINUS 7X PLUS
Using Elimination Twice to Solve a System
To avoid working with fractions or other awkward numbers, it is sometimes preferable to eliminate twice instead of eliminating and then substituting.
Subject: fraction
Transcript: USE THIS METHOD OF ELIMINATING TWICE ANYTIME YOU WANT TO AVOID SUBSTITUTING FRACTIONS OR OTHER AWKWARD NUMBERS.
Using Two Points on a Line to Write an Equation
Using the coordinates of two points on a line to write an equation involving the Celsius and Fahrenheit temperature scales.
Subject: fraction
Transcript: . THE SLOPE IS 9/5. WE COULD LEAVE IT AS A FRACTION OR WRITE IT AS A DECIMAL. WE'LL USE THE DECIMAL IN THE EQUATION. THE SLOPE, M, IS 1.8. WE KNOW THE