Translating Words to Algebraic Expressions

This lesson on algebraic translation focuses on converting written expressions and equations into numerical form using variables. It covers the basics of variables, expressions, and the importance of understanding terms like 'more than' and 'less than' in translation. The lesson also explains the concept of switch words and the use of parentheses to separate independent groupings. Several examples are provided to illustrate these concepts, and the lesson concludes with a recap and a light-hearted joke.

What is the main goal of this lesson on algebraic translation?

• To solve complex algebraic equations

• To translate written expressions and equations into numerical form

• To understand the history of algebra

• To learn about different types of variables

How would you express 'the sum of a number and five' using a variable?

• X / 5

• 5 - X

• X - 5

• 5 + X

What does the phrase '10 more than a number' translate to in algebraic form?

• X - 10

• 10 - X

• X + 10

• 10 + X

In the phrase '6 less than a number', what does the word 'then' indicate?

• Addition

• Switching the order of terms

• Division

• Multiplication

How would you translate 'the difference of three and a number'?

• P - 3

• 3 - P

• P + 3

• 3 + P

What does the phrase 'a number divided by three is eight' translate to?

• T * 3 = 8

• 3 * T = 8

• 3 / T = 8

• T / 3 = 8

What does the word 'is' or 'is equivalent to' mean in algebraic translation?

• Addition

• Multiplication

• Subtraction

• Equals

How would you translate 'the product of a number and nine'?

• N + 9

• N - 9

• N / 9

• 9N

What does 'three times the difference of a number and one' translate to?

• 3 * (P - 1)

• 3 + (P - 1)

• 3 - (P + 1)

• 3 / (P - 1)

How would you express 'the sum of five and the square root of eight times a number is 12'?

• 5 / √8R = 12

• 5 * √8R = 12

• 5 - √8R = 12

• 5 + √8R = 12