jacqueline-frederick
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Translating Algebraic Expressions: Equations and Sentences

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This lesson focuses on evaluating and simplifying algebraic expressions. Learners will translate sentences into mathematical equations and vice versa. Examples given include translating phrases such as "A number b divided by three is equal to six less than c" into equations, as well as converting equations back into words. The lesson includes real-world problem-solving scenarios, like calculating production rates and understanding formulas in geometry. Essential vocabulary and examples guide students through the process, ensuring comprehension and application of algebraic principles.

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Translating Algebraic Expressions: Equations and Sentences

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Presentation Transcript

  1. You evaluated and simplified algebraic expressions. (Lesson 1–2) • Translate sentences into equations. • Translate equations into sentences. Then/Now

  2. formula Vocabulary

  3. A. Translate this sentence into an equation. A number b divided by three is equal to six less than c. Translate Sentences into Equations b divided by three is equal to six less than c. = c – 6 Example 1

  4. B. Translate this sentence into an equation. Fifteen more than z times six is y times two minus eleven. Translate Sentences into Equations Example 1

  5. A B C D A. Translate this sentence into an equation. A number c multiplied by six is equal to two more than d. Example 1

  6. A B C D B. Translate this sentence into an equation. Three less than a number a divided by four is seven more than 3 times b. Example 1

  7. Use the Four-Step Problem-Solving Plan JELLY BEANS A jelly bean manufacturer produces 1,250,000 jelly beans per hour. How many hours does it take them to produce 10,000,000 jelly beans? Example 2

  8. A B C D A person at the KeyTronic World Invitational Type-Off typed 148 words per minute. How many minutes would it take to type 3552 words? Example 2

  9. Write a Formula GEOMETRY Translate the sentence into a formula. The perimeter of a square equals four times the length of the side. Example 3

  10. A B C D Translate the sentence into a formula. The area of a circle equals the product of  and the square of the radius r. Example 3

  11. Translate Equations into Sentences A. Translate the equation into a verbal sentence.12 – 2x = –5 Example 4

  12. Translate Equations into Sentences B. Translate the equation into a verbal sentence. Example 4

  13. A B C D A.Translate the equation into a verbal sentence. Example 4

  14. A B C D B.Translate the equation into a verbal sentence.5a = b2 + 1 Example 4

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