Solving Word Problems with Equations

This video tutorial covers problems 26 to 30 from a practice mathematics exam, focusing on computation and problem-solving. It includes solving word problems using systems of equations, isolating variables, analyzing data through elimination, calculating costs for a road trip, and determining average speed. The video concludes with a request for feedback and further engagement.

What is the main focus of the video tutorial?

• Physics experiments

• History of mathematics

• Literature analysis

• Computation and problem solving

In problem 26, what is the first step in solving the word problem?

• Drawing a diagram

• Using a calculator

• Guessing the answer

• Declaring variables

How many more birds did Keiko count in the morning than in the afternoon?

• 34

• 20

• 50

• 10

What is the total number of birds Keiko counted?

• 50

• 60

• 100

• 76

What method is used to solve the system of equations in problem 26?

• Substitution

• Graphing

• Elimination

• Trial and error

In problem 27, what is the goal when solving the equation?

• To isolate the variable y

• To determine the slope

• To calculate the area

• To find the value of x

What is the final value of y in problem 27?

• 4

• 1

• 2

• 3

In problem 28, how many sandwiches were sold by the end of the lunch period?

• 15

• 10

• 30

• 21

Which fact can be determined from the information given in problem 28?

• The number of cheese sandwiches sold

• The cost of a turkey sandwich

• The total number of sandwiches remaining

• The total dollar sales

In problem 29, what is the missing piece of information needed to calculate the gasoline budget?

• Total distance

• Cost per gallon

• Number of passengers

• Gas mileage