Algebraic Problem Solving Techniques

This video tutorial supports the Common Core State Standard 7.EE.4a, focusing on solving word problems that lead to equations of the form p(x + q) = r and px + q = r. It demonstrates both arithmetic and algebraic approaches to solving problems involving perimeter, sales commission, and monetary value. The tutorial emphasizes the importance of visualization, logical reasoning, and proportional reasoning in understanding and solving these problems.

What is the main focus of the Common Core State Standard 7.EE.4a?

• Learning about fractions and decimals

• Understanding geometric shapes

• Solving word problems leading to specific types of equations

• Studying historical mathematicians

In the perimeter problem, what is the width of the rectangle?

• 36

• 21

• 42

• 18

How is the perimeter problem approached algebraically?

• Introducing variables for length and width

• Using a diagram without variables

• Ignoring the width

• By guessing the values

In the sales job problem, what is the weekly base pay?

• $20

• $100

• $200

• $500

What is the commission rate in the sales job problem?

• 10%

• 25%

• 15%

• 20%

In the currency problem, how many $20 bills are needed to make $160?

• 10

• 8

• 6

• 4

How is the currency problem solved algebraically?

• By using a single variable for all bills

• By ignoring the $20 bills

• By using variables for the number and value of each bill type

• By assuming all bills are $100