Translating Phrases into Algebraic Expressions

In this video, Jeff Jacobsen explains how to write mathematical expressions from word problems. He emphasizes the importance of identifying key words that indicate mathematical operations, such as 'less than', 'product', 'more than', and 'quotient'. Through various examples, he demonstrates how to correctly interpret these terms and form expressions. The video concludes with a word problem about tree height, illustrating the application of these concepts in real-world scenarios.

What is the first step in writing expressions from word problems?

• Simplifying the numbers

• Finding the keywords

• Memorizing the operations

• Writing down the numbers

In the phrase '8 less than 21', what operation is used?

• Division

• Subtraction

• Multiplication

• Addition

How should '8 less than 21' be written as an expression?

• 8 - 21

• 8 + 21

• 21 - 8

• 21 + 8

What does the keyword 'product' indicate?

• Addition

• Subtraction

• Division

• Multiplication

How would you write 'the product of 30 and 9' as an expression?

• 30 * 9

• 30 + 9

• 30 / 9

• 30 - 9

In the phrase '14 more than a number X', what does 'more than' signify?

• Addition

• Subtraction

• Multiplication

• Division

How should '14 more than a number X' be written as an expression?

• 14 + X

• X + 14

• X - 14

• 14 - X

What does the keyword 'quotient' indicate?

• Multiplication

• Subtraction

• Division

• Addition

How would you write 'the quotient of 3 and a number W' as an expression?

• 3 + W

• 3 - W

• 3 * W

• 3 / W

If a tree is 10 inches tall and grows 15 inches each year, how would you write an expression for its height after T years?

• 10T + 15

• 10 + 15T

• 10 + 15

• 15 + 10T