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: unknown
Transcript: CURRENT. IN THIS PROBLEM, WE HAVE TWO UNKNOWNS, THE SPEED OF THE BOAT AND THE SPEED OF THE CURRENT. SO IT MAKES SENSE TO USE TWO VARIABLES. WE'LL LET B BE
Slope-intercept Form
Review of the slope-intercept form showing how to write an equation given the slope and the y-intercept, and how to write an equation to solve for the y-intercept given the slope and one point.
Subject: unknown
Transcript: 'S TOTAL EARNINGS, $103. NOW WE HAVE AN EQUATION WITH JUST ONE UNKNOWN. TO SOLVE THE EQUATION, JUST MULTIPLY THE HOURLY RATE BY THE NUMBER OF HOURS DOUG
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: unknown
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
Solving the Same Word Problem Using One and Two Variables
Three different approaches to solving the same practical problem are demonstrated. Two approaches using one variable and a two-variable system all produce the same solution to the question of how many balcony seats and how many floor seats can be so...
Subject: unknown
Transcript: 70 MORE FLOOR SEATS THAN BALCONY SEATS. HOW MANY OF EACH KIND OF SEAT CAN BE SOLD FOR THE EVENT? FIRST, WE'LL IDENTIFY THE UNKNOWNS IN THE PROBLEM
Practical Problem: Homes and Apartments on 100 Acres
Calculating the number of houses and apartments that can be built on a 60-acre parcel of land given the amount of land allowed for each living unit is expressed in a system of equations involving fractions and solved using the least common denominat...
Subject: unknown
Transcript: AND HOW MANY APARTMENT UNITS SHOULD BE BUILT TO FULLY UTILIZE THE 60 ACRES? FIRST, IDENTIFY THE UNKNOWNS. WE WANT TO FIND THE NUMBER OF HOUSES AND
Solving a Word Problem Using Two Variables
Writing and solving a word problem using a two-variable approach.
Subject: unknown
Transcript: MORE FLOOR SEATS THAN BALCONY SEATS. HOW MANY OF EACH KIND OF SEAT CAN BE SOLD FOR THE EVENT? FIRST, WE'LL IDENTIFY THE UNKNOWNS IN THE PROBLEM. LOOK AT
Solving a Word Problem Using One Variable
Writing and solving a word problem using a one-variable approach.
Subject: unknown
Transcript: MORE FLOOR SEATS THAN BALCONY SEATS. HOW MANY OF EACH KIND OF SEAT CAN BE SOLD FOR THE EVENT? FIRST, WE'LL IDENTIFY THE UNKNOWNS IN THE PROBLEM. LOOK AT
Solving a Complicated Mixture Problem
A complicated word problem involving percentages is broken into simpler parts and a solution found.
Subject: unknown
Transcript: AMOUNT OF GASOHOL IN EACH MIXTURE. THE PROBLEM TELLS US THERE ARE 10 GALLONS OF 18% GASOHOL. THE RESEARCHER WILL ADD AN UNKNOWN AMOUNT OF 30% GASOHOL TO 10
Practical Problem: Shelf Space
Using the substitution method with a system of equations to solve a practical problem involving use of shelf space.
Subject: unknown
Transcript: CIRCULAR SAWS. TO SOLVE THE PROBLEM, WE'LL WRITE AN EQUATION ABOVE EACH REQUIREMENT. EACH EQUATION WILL HAVE TWO VARIABLES. THE VARIABLES ARE THE UNKNOWNS
Practical Problem: Pay Rate for Shipping Clerks
Practical problems that involve finding a single solution that satisfies two conditions or requirements can be solved using a system of equations. The substitution method is demonstrated in an example involving pay rates for two employee groups and ...
Subject: unknown
Transcript: AND THE COMPANY. TO SOLVE THE PROBLEM, WE'LL FIRST EXAMINE IT CAREFULLY. THEN WE'LL IDENTIFY THE UNKNOWNS. FIND THE CONDITIONS OR LIMITATIONS THAT