Exploring System of Equations in Word Problems

This video tutorial covers systems of equations, focusing on solving word problems. It begins with an introduction to the topic and expectations for the lesson. The tutorial then delves into specific types of word problems, including mixture, digit, and wind and water problems, providing examples and explanations for each. The video emphasizes the importance of setting up equations correctly and encourages students to practice these problems for better understanding.

What are the two methods mentioned for solving systems of equations?

• Graphing and Factoring

• Substitution and Elimination

• Graphing and Substitution

• Completing the Square and Factoring

In mixture word problems, what is typically used to organize information?

• A list

• A graph

• A table

• A chart

What is the first step in solving a mixture word problem?

• Write the final answer

• Define the variables

• Draw a graph

• Solve the equations

In the example problem, what are the two solutions being mixed?

• 20% acid and 60% acid

• 10% acid and 60% acid

• 25% acid and 50% acid

• 10% acid and 50% acid

What is the final mixture percentage in the example problem?

• 20%

• 25%

• 35%

• 30%

In digit word problems, what does the expression 10x + y represent?

• The sum of the digits

• The value of the number with digits reversed

• The product of the digits

• The value of the original number

If the sum of the digits of a two-digit number is 8, which of the following could be the number?

• 17

• 44

• 35

• 26

In wind and water problems, what equation is primarily used?

• Distance = Rate / Time

• Distance = Rate - Time

• Distance = Rate + Time

• Distance = Rate x Time

When traveling against the wind, how is the rate represented?

• x / y

• x * y

• x - y

• x + y

If a plane travels 3500 km in 7 hours against the wind, what is the rate equation?

• 5(x + y) = 3500

• 5(x - y) = 3500

• 7(x - y) = 3500

• 7(x + y) = 3500