Inverse Variation
As the price of an item increases, its sales decrease. This is an example of inverse variation. An inverse variation problem has one constant of variation, but is divided instead of multiplied.
Subject: general formula
Transcript: IS 135. WHAT IS X WHEN Y IS 75? THE GENERAL FORMULA IS X EQUALS K/Y. TO FIND THE VALUE OF K, WE'LL WORK WITH WHAT WE KNOW. SUBSTITUTE 8 FOR X AND 135
Finding Distance on a Graph Using the Pythagorean Theorem and the Distance Formula
The Pythagorean Theorem can be used to solve a distance problem on the coordinate plane. The same problem is also solved using the distance formula.
Series: Pythagorean Theorem And Other Formulas, The
Subject: formula
Transcript: THE EQUATION. THE LENGTH OF LINE SEGMENT AB IS 17 . UNITS. THIS FORMULA DESCRIBES THE PROCESS WE JUST USED, IT'S CALLED THE DISTANCE FORMULA. THE
Practical Problem: Boat Speed and River Currents
A word problem involving rate, time, and distance is solved step-by-step using the elimination method.
Subject: formula
Transcript: OF SPEED, THE TIME IT TAKES TO TRAVEL, AND THE DISTANCE IT TRAVELS. WE NEED A FORMULA THAT DESCRIBES THE RELATIONSHIP BETWEEN RATE, TIME, AND DISTANCE
Problem: The Perimeter of a Rectangle
Writing a system of equations to find the length and width of a rectangle, given the perimeter, and using the formula for finding the perimeter of a
Subject: formula
Transcript: NARRATOR: HERE'S AN EXAMPLE THAT USES THE FORMULA FOR FINDING THE PERIMETER OF A RECTANGLE. 2 TIMES THE LENGTH PLUS 2 TIMES THE WIDTH EQUALS THE
Practical Problem: The Length of the Spring on a Scale
Using the elimination method to solve a practical problem involving a scale, a spring, and some weights.
Subject: formula
Transcript: EQUATIONS, LET'S THINK ABOUT HOW L AND X ARE RELATED. IS THERE A FORMULA THAT DESCRIBES THE RELATIONSHIP BETWEEN THE ORIGINAL LENGTH OF THE SPRING, THE NUMBER
Solving the Same Rate-Time-Distance Problem Using One and Two Variables
Two different ways to write an algebraic equation for the same word problem involving rate, time, and distance are compared.
Subject: formula
Transcript: FIRST PLANE. THE PLANES ARRIVE IN MILWAUKEE AT THE SAME UNKNOWN TIME. THIS IS A RATE TIME DISTANCE PROBLEM. HERE'S THE FORMULA WE ALWAYS USE FOR THIS TYPE
Pythagorean Theorem, The
The Pythagorean Theorem is a formula that describes the relationship between the three sides of a right triangle: a2 b2 = c2.
Series: Pythagorean Theorem And Other Formulas, The
Subject: formula
Transcript: WE'LL WORK WITH A FORMULA THAT DESCRIBES THE RELATIONSHIP OF THE THREE SIDES OF A RIGHT TRIANGLE. IN PARTICULAR, IT DESCRIBES THE RELATIONSHIP
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
Subject: quadratic formula
Transcript: STANDARD FORM WHICH WE ALREADY KNOW AND THIS FORMULA. IT'S CALLED THE QUADRATIC FORMULA. THE LETTERS IN THE FORMULA CORRESPOND TO A, B, AND C IN STANDARD
Solving a Complicated Mixture Problem
A complicated word problem involving percentages is broken into simpler parts and a solution found.
Subject: formula
Transcript: AMOUNT OF PURE ALCOHOL. IN OTHER WORDS, WE USED A FORMULA. PERCENT TIMES QUANTITY EQUALS PURE SUBSTANCE. WE'LL USE THE SAME FORMULA TO FIND THE AMOUNT OF
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.
Subject: formula
Transcript: RATIONAL EXPRESSIONS ARE OFTEN USED TO SOLVE PRACTICAL PROBLEMS. FOR EXAMPLE, HEALTH CARE WORKERS CAN USE THIS FORMULA TO DETERMINE THE DOSAGE OF