Understanding Depth and Word Problems

The video tutorial covers pre-algebra practice set number 14, focusing on solving applied problems with integers. It begins with a review of a basic procedure for solving non-algebraic word problems, emphasizing careful reading, highlighting important points, and making a plan of action. Two main problems are addressed: calculating the current depth of a submarine after a series of dives and rises, and determining the new balance on a prepaid credit card after several transactions. The tutorial demonstrates how to express transactions as integers and perform arithmetic operations to find solutions.

What is the first step in solving a non-algebraic word problem?

• Ignore the problem statement

• Read the problem carefully

• Write down the answer immediately

• Guess the solution

What should you do after highlighting the main question in a word problem?

• Ignore the question

• Check your answer

• Solve the problem immediately

• Make a plan of action

What is the purpose of checking your answer in a word problem?

• To ensure the arithmetic is correct

• To change the question

• To skip the problem

• To guess the answer

In the submarine problem, what is the initial depth of the submarine?

• 307 ft above sea level

• 239 ft below sea level

• 135 ft below sea level

• 135 ft above sea level

How is a depth below sea level represented in the submarine problem?

• As zero

• As a negative integer

• As a positive integer

• As a fraction

What is the final depth of the submarine after all movements?

• 0 ft

• 135 ft below sea level

• 67 ft above sea level

• 67 ft below sea level

What is the starting balance on the prepaid credit card?

• $400

• $300

• $200

• $100

How should a purchase be represented in terms of integer operations?

• As a positive integer

• As a negative integer

• As zero

• As a fraction

What is the total amount spent on the lamp, rug, and vacuum?

• $120

• $100

• $110

• $130

What is the new balance on the prepaid credit card after all transactions?

• $124

• $200

• $147

• $223