The document discusses translating words to algebraic expressions, equations, and inequalities. It provides examples of translating phrases like "two times seven" to the algebraic expression "2 × 7". It also discusses words that represent operations, variables, and inequalities. Finally, it provides practice problems for translating written expressions to mathematical sentences.

1. Translating Algebra!

2. Translating words to algebraic expressions, equations, and inequalities is a lot like translating between foreign languages.

3. For example… In english we say “hello” to greet someone. In Spanish, we say “hola”. So hello is the same as hola in different languages.

4. In math we use letters, numbers, and symbols to represent words.

5. For example… If I told you to use numbers and symbols to represent two times seven, what would you write? You should write 2 × 7

6. In order to properly translate between words and algebra, we need to fill out our worksheet. Lets think of words that represent these operations!

7. EQUAL DIVISION MULTIPLICATION SUBTRACTION ADDITION

8. Let’s also look at words and symbols for inequalities. Is greater than Is less than Is greater than or equal to Is less than or equal to > < ≥ ≤

9. There are also words to represent variables A number An unknown value

10. Let’s talk about THAN Less than is a special phrase. If the sentence says something is less than something else, you REVERSE the order and subtract. Example… Twelve LESS THAN a number is eight. x – 12 = 8

11. Let’s look at a few examples The product of three and a number Thirty more than twice a number The difference of a number and eight is equal to 14.

12. Here’s a few more Six less than nine times a number is equal to 39. Fifty-five more than a number is greater than 60. The quotient of four times a number and seven is less than or equal to 56.

13. Get out your classwork sheet. It says Mathematical Translations Classwork.

14. Try these and see how you do! We’ll go over it in just a minute!!!

15. Part 1: Translate each written expression into a mathematical sentence. Nine more than a number ___________ 2. Three more than half a number ____________ 3. Five squared minus a number _____________ 4. Sixteen divided by a number _____________

16. 5. The product of seven and a number y is forty-two _______________________ 6. The quotient of a number and seven is thirty-three ________________________ 7. Four times a number x decreased by eleven ________________________ 8. Four times the quantity of a number n minus eleven ________________________

17. 9. 4x ______________________ 10. 29 – x ______________________ 11. 7y = 42 ______________________ 12. x + 10 = 24 ______________________ 13. 11x + 4 ______________________ 14. 5 – 8 = 4y ______________________ 15. 3(x – 2) = 10 ______________________ 16. ½x ______________________

18. Make sure you study your Algebra vocabulary! You will have to know it for your next quiz!!!