Translating Algebraic Expressions: Chapter 5, Lesson 2

This video tutorial covers translating word phrases into algebraic expressions and vice versa. It begins with an introduction to key words associated with mathematical operations like addition, subtraction, multiplication, and division. The tutorial then provides examples of translating basic mathematical expressions without variables, followed by more complex examples involving variables. Two word problems are discussed: one about the length of interstates and another about the growth of a cypress tree. The video emphasizes practice and patience in mastering these skills.

What is the main focus of this lesson?

• Understanding geometric shapes

• Graphing linear equations

• Translating algebraic expressions

• Solving quadratic equations

Which word is commonly associated with addition?

• Difference

• Sum

• Product

• Quotient

Which phrase indicates subtraction?

• Divided by

• Multiplied by

• Less than

• Increased by

What does the word 'product' refer to?

• Subtraction

• Addition

• Division

• Multiplication

How would you express '8 fewer than 21' as a mathematical expression?

• 21 + 8

• 8 - 21

• 21 - 8

• 8 + 21

Which of the following represents the product of 30 and 9?

• 30 + 9

• 30 - 9

• 30 * 9

• 30 / 9

How would you write '14 more than a number x' as an algebraic expression?

• x - 14

• x / 14

• 14 + x

• 14 - x

What is the correct expression for 'the quotient of 3 and x'?

• 3 * x

• x + 3

• x / 3

• 3 / x

If m represents the length of Interstate 15, how would you express the length of Interstate 90, which is 153.5 miles more than twice the length of Interstate 15?

• 2 + 153.5m

• m + 153.5

• 153.5 + m

• 2m + 153.5

A cypress tree is 10 inches tall and grows 15 inches each year. What is the height of the tree after 9 years?

• 135 inches

• 145 inches

• 150 inches

• 160 inches