Solving Word Problems with Linear Equations

The video tutorial covers solving word problems using systems of linear equations. It begins with an introduction to the topic, followed by four examples: a coin box problem, a number difference problem, calculating tennis club fees, and an investment problem. Each example demonstrates how to translate word problems into linear equations and solve them using substitution or elimination methods.

What is the primary focus of the video tutorial?

• Solving quadratic equations

• Graphing linear equations

• Solving word problems using systems of linear equations

• Understanding calculus concepts

In the first example, what are the two types of coins mentioned?

• Nickels and dimes

• Dimes and quarters

• Quarters and half-dollars

• Pennies and nickels

How many dimes are there in the vending machine problem?

• 12

• 20

• 15

• 32

What is the total value of coins in the vending machine?

• $6.20

• $8.20

• $7.20

• $5.20

In the second example, what is the difference between the two numbers?

• 7

• 10

• 5

• 3

What is the relationship between the smaller and larger number in the second example?

• Four times the smaller is five less than three times the larger

• Three times the smaller is five more than four times the larger

• Twice the smaller is equal to the larger

• The smaller is half of the larger

What are the two numbers found in the second example?

• 25 and 20

• 20 and 15

• 15 and 10

• 10 and 5

In the third example, what are the two types of fees charged by the tennis club?

• Annual and monthly

• Annual and hourly

• Daily and weekly

• Monthly and hourly

How many hours did Tony play in the tennis club example?

• 60

• 45

• 51

• 39

What is the hourly fee charged by the tennis club?

• $8

• $7

• $6

• $5