Functions and Equations Problem Solving

Mr. Polarski's video lesson covers solving two-step equations, using deductive reasoning, and integrating geometry concepts. The lesson includes real-world examples, such as calculating the number of iris bulbs that can be ordered within a budget, and solving equations involving angles in an isosceles triangle. The video emphasizes understanding the problem, defining variables, and applying mathematical properties to solve equations.

What is the main topic of the lesson introduced by Mr. Polarski?

• Solving two-step equations

• Factoring polynomials

• Solving quadratic equations

• Graphing linear equations

What is one of the objectives of the lesson?

• To graph functions

• To solve quadratic equations

• To use deductive reasoning to solve equations

• To factor polynomials

How can functions be used according to the lesson?

• To solve quadratic equations

• To graph linear equations

• To model real-world situations

• To factor polynomials

What should you ensure about your answer in real-world situations?

• It is a complex number

• It is reasonable for the situation

• It is a decimal

• It is a fraction

In the Iris bulbs problem, what is the cost of each bulb?

• $1.00

• $1.50

• $0.90

• $0.50

What is the shipping charge in the Iris bulbs problem?

• $3.00

• $2.50

• $2.00

• $1.50

How much money does the person have to spend in the Iris bulbs problem?

• $25.00

• $15.00

• $20.00

• $18.50

What is the first step in solving the Iris bulbs equation?

• Divide both sides by 90

• Add $2.50 to both sides

• Multiply both sides by 90

• Subtract $2.50 from both sides

What is the final number of bulbs that can be ordered in the Iris bulbs problem?

• 18

• 19

• 17

• 16

What is the main focus of Example 4T?

• Factoring polynomials

• Using deductive reasoning

• Graphing equations

• Using inductive reasoning