The document provides information about expressions and equations, including definitions of key terms like sum, difference, product, and quotient. It explains that expressions do not contain equals signs, while equations do. It outlines that students will practice writing verbal expressions and equations from algebraic forms, and vice versa. It emphasizes using words like "more than", "less than", and "product of" rather than symbols like plus, minus, and equals.

1. Section 1 – 7 Expressions and Equations

2. Know the following terms W E L L : The sum of…………………… addition The difference of…….…… subtraction The product of……………… multiplication The quotient of…………….. division

3. Expressions are: General little statements that DO NOT have an equals sign! 2x – 4 2m ³ + 5m Seven less than half a number squared Twice the difference of a number and five

4. Equations are: Any statement that DOES have an equals sign (or equivalent): 4n + 7 = 11 ½ b – 2 = 3 Twice a number increased by four is ten The difference of a number and two is five

5. What you will be doing today: Writing verbal expressions and equations from algebraic forms Writing algebraic expressions and equations from verbal forms

6. What does THAT mean? It means you will take an expression like 3x – 5, and write it as: “the difference of three times a number and five” or maybe “ five less than three times a number”

7. Or maybe…… If you are given the verbal sentence, you will write it as an algebra equation or expression: “ half of a number increased by three is twelve” would be written as : ½ x + 3 = 12

8. What will you need to know to be able to do this? Words for addition , such as “more than” or “increased by” Words for subtraction , such as “less than” or “decreased by” Words for multiplying or dividing , such as “product of” or “quotient” Words for where the equals sign goes, like ‘is” or “is equal to” or “is the same as”

9. Warning!! DO NOT use the words “ plus”, “minus” or “equals” if at all possible !!

10. Your turn: How would you write 4n + 3 as a verbal expression? (you can discuss out loud with someone next to you)

11. Now try this one: Can you write the following in algebraic form? “ 3 less than a number is the same as five”

12. Which ones are correct for 2m – 7: Twice a number less than seven Seven decreased by twice a number Seven less than twice a number Twice a number decreased by seven

13. 3m + 2 = 14 would be written: Two more than 3 and a number is fourteen Three m&m equals to fourteen Product of three and a number increased by two is the same as fourteen

14. Your Homework: Page 41 # 4 – 20 even Visit slideshare.net/kyu001 for this presentation