The Distributive Property Chapter 1 Lesson 4

Try these problems: 1.3 * (4 * x) s * m * * (4 + x) 1.3 * (4 * x) s * m * * (4 + x)

The Distributive Property Definition: Symbols: Example:

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.

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

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)

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.

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 __________________.

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

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 c8. 15d d 9. 7q + 2z + q + 5z rs f + 9g z z 7. 8c c8. 15d d 9. 7q + 2z + q + 5z rs f + 9g z z

Determine the coefficient of each underlined term. 13.3x + 4y z z 15. 3y y x y y 13.3x + 4y z z 15. 3y y x y y

Match the expression on the left with its equivalent expression on the right x xA. 7 + y y + 3B. 7w z zC. 3x q + 3r + qD z 22.w wE. 8q + 3r x xA. 7 + y y + 3B. 7w z zC. 3x q + 3r + qD z 22.w wE. 8q + 3r + 2 Circle the column above in which all expressions are simplified.

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