Real World Applications of Systems of Equations

The video tutorial introduces solving systems of equations through word problems, focusing on real-world applications. It outlines four steps: defining variables, writing equations, solving using substitution or elimination, and writing answers in complete sentences. Two examples are provided: calculating ice cream costs and determining the dimensions of a rectangular fort. The tutorial emphasizes understanding the problem context and choosing the appropriate method for solving equations.

What is the first step in solving word problems involving systems of equations?

• Write the answer in a sentence

• Write the equations

• Define the variables

• Solve the system

Which methods were recommended for solving the systems of equations?

• Substitution and elimination

• Graphing and Lin solve

• Factoring and quadratic formula

• Matrix and determinant

In the ice cream parlor problem, what do the variables 'S' and 'L' represent?

• Cost of small and large servings

• Size of servings

• Types of ice cream

• Number of servings

What method was used to solve the ice cream parlor problem?

• Substitution

• Elimination

• Graphing

• Matrix

How much does a large serving of ice cream cost according to the problem?

• $8

• $6

• $4

• $2

In the rectangular fort problem, what does 'W' stand for?

• Water around the fort

• Wall of the fort

• Width of the fort

• Weight of the fort

What method was used to solve the rectangular fort problem?

• Matrix

• Elimination

• Graphing

• Substitution

What is the length of the fort according to the problem?

• 8 feet

• 7 feet

• 5 feet

• 10 feet

What is the perimeter of the rectangular fort?

• 32 feet

• 48 feet

• 24 feet

• 40 feet

How should the final answer of a word problem be presented?

• As a graph

• In a complete sentence

• As a point (X, Y)

• As a mathematical expression