1. The Distributive Property Chapter 1 Lesson 4

2. Try these problems: 1.3 * (4 * x) 2.4 + s + 7 3.7 * m * 2 4.3 * (4 + x) 1.3 * (4 * x) 2.4 + s + 7 3.7 * m * 2 4.3 * (4 + x)

3. The Distributive Property Definition: Symbols: Example:

4. Mental Math  You can use the distributive property when doing mental math!!!  Multiply 8 * 12 mentally.  You can use the distributive property when doing mental math!!!  Multiply 8 * 12 mentally.

5. Examples 1.3 (x + 7)2. 5(2n + 8) 3. 6(a + b)4. (1 + 3t)9 1.3 (x + 7)2. 5(2n + 8) 3. 6(a + b)4. (1 + 3t)9

6. A way to remember….  You can think of the distributive property as a rainbow.  3 ( 2t - 2)  You can think of the distributive property as a rainbow.  3 ( 2t - 2)

8. Words to Remember:  Term: A term can be a _______________, _______________, _________________ or ____________________ of numbers and variables.  How do you know how many terms are in an expression?  Terms are separated by __________ or ________ signs.  Term: A term can be a _______________, _______________, _________________ or ____________________ of numbers and variables.  How do you know how many terms are in an expression?  Terms are separated by __________ or ________ signs.

9. More Words to Remember  Like Terms: Terms that contain the same ___________________.  Example of like terms:  Coefficient: The _____________ part of a term that contains a variable.  Equivalent Expressions: Two or more expressions that have the same _________.  Simplest Form: An algebraic expression is in simplest form when it has no _________ _______ and no __________________.  Like Terms: Terms that contain the same ___________________.  Example of like terms:  Coefficient: The _____________ part of a term that contains a variable.  Equivalent Expressions: Two or more expressions that have the same _________.  Simplest Form: An algebraic expression is in simplest form when it has no _________ _______ and no __________________.

10. Practice  Determine how many terms are in each expression. 1.3x + 4xy + 22. 4 + m + 3n + 2 3.4xy - x4. 4b 5. 3 - x 6. 2xy + 3 - 4y + 7 - 3x  Determine how many terms are in each expression. 1.3x + 4xy + 22. 4 + m + 3n + 2 3.4xy - x4. 4b 5. 3 - x 6. 2xy + 3 - 4y + 7 - 3x

11. For each expression, circle each pair of like terms. If there are two sets of like terms, circle one pair and underline the second. 7. 8c + 11 - 6c8. 15d - 9 + 2d 9. 7q + 2z + q + 5z10. 6 + 2rs - 5 11. 9f + 9g12. 8 + 5z - 6 + z 7. 8c + 11 - 6c8. 15d - 9 + 2d 9. 7q + 2z + q + 5z10. 6 + 2rs - 5 11. 9f + 9g12. 8 + 5z - 6 + z

12. Determine the coefficient of each underlined term. 13.3x + 4y - 514. 8 + 5z - 6 + z 15. 3y - 5 + 2y16. 3 + 5x - 2 17. 4y - 2 + y 13.3x + 4y - 514. 8 + 5z - 6 + z 15. 3y - 5 + 2y16. 3 + 5x - 2 17. 4y - 2 + y

13. Match the expression on the left with its equivalent expression on the right. 18. 5x + 3 - 2xA. 7 + y 19.4 + y + 3B. 7w + 6 20.8 + 5z - 6 + zC. 3x + 3 21.2 + 7q + 3r + qD. 2 + 6z 22.w + 10 - 4 + 6wE. 8q + 3r + 2 18. 5x + 3 - 2xA. 7 + y 19.4 + y + 3B. 7w + 6 20.8 + 5z - 6 + zC. 3x + 3 21.2 + 7q + 3r + qD. 2 + 6z 22.w + 10 - 4 + 6wE. 8q + 3r + 2 Circle the column above in which all expressions are simplified.

14. Explain in your own words how you know that an expression is in its simplest form.