1 / 18

1.7: Distributive Property

TERM: A number, a variable, or the product of the two. Ex: a, 3x, 2x, 5,. 1.7: Distributive Property. CONSTANT: a term with no variable (number ) Ex: 4, -1, 6, 2. COEFFICIENT: Is the numerical factor of the a term. Ex: 3 x, 5 w, -3 s,.

camden-scott
Download Presentation

1.7: Distributive Property

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. TERM: A number, a variable, or the product of the two. Ex: a, 3x, 2x, 5, 1.7: Distributive Property CONSTANT: a term with no variable (number)Ex: 4, -1, 6, 2

  2. COEFFICIENT: Is the numerical factor of the a term. Ex: 3x, 5w, -3s, LIKE TERMS: Term that have the same variable factors. Ex: 7a and -3a, 4x and 12x, etc..

  3. GOAL:

  4. Let a, b and c be real numbers. ADDITION: a( b + c ) = ab + ac 3( x + 5 ) = 3x + 15 Distributive Property ( b + c )a = ba + ca( x + 5 )3 = 3x + 15 SUBTRACTION:a( b - c ) = ab - ac 3( x - 5 ) = 3x -15 3x -15 ( b - c )a = ba - ca ( x - 5 )3 =

  5. YOU TRY IT: What is the simplified form of: -2( 2y – 3x)?

  6. SOLUTION: Remember: if there is a negative sign, it always goes with the number at the right of it. Using the distributive property we have: -2(2y – 3x) = -2(2y)-2(-3x) = -4y + 6x

  7. REAL-WORLD: The recommended hear rate for exercise, in beats per minute, is given by the expression 0.8(200 – y) where y is a person’s age in years. What is the recommended hear rate for a 14-year old student? Use the distributive property.

  8. SOLUTION: Using the given info and the distributive property we have: Given: 0.8(200 – y) 160 – 0.8y Distribute: 0.8(200 – y)  Substitute y for a 14 year old. 160 – 0.8(14)  160 – 11.2  148.8 beats/min

  9. The area is an example of distributive property Area = b ∙ h 2 Area = 2∙ (4 + 5) = 2(4) + 2(5) = 8+10 = 18 u2 Using Tiles and Models 4 5 Using Algebra we now have the following problem: Area = b ∙ h 2 Area = 2 ∙ (4 + x) = 2(4)+ 2(x) = 2x + 8 u2 x 4

  10. YOU TRY IT: What is the simplified form of: - ( -2y – 3x)?

  11. SOLUTION: Remember: if there is only a negative sign next to the parenthesis, it is understood that there is a invisible 1 next to it: Using the distributive property we have: - 1(-2y – 3x) = -1(-2y) -1(-3x) = 2y + 3x

  12. YOU TRY IT: What sum or difference is equivalent to?

  13. SOLUTION: Using the opposite procedure we see that   +

  14. SIMPLY: Put (add or subtract) like terms together to make a smaller equation. Ex: Simplify: 2n + 1 – 4m – n + 2m Solution: Re-write as: = (2n- n)+(– 4m+2m) +1 = n– 2m+1

  15. YOU TRY IT: Rewrite each expression as a sum. – 8x + 3xy – 2(3x) + 5xy

  16. SOLUTION: Given: – 8x + 3xy – 2(3x) + 5xy Doing the arithmetic (math) we have: – 8x + 3xy – 6x + 5xy Putting like terms together: – 8x – 6x + 3xy + 5xy – 14x + 8xy

  17. VIDEOS: Distributive Property Distribute: http://www.khanacademy.org/math/arithmetic/order-of-operations/ditributive_property/v/the-distributive-property

  18. Pages: 49– 52 Problems: As many as you need to master the concepts. Class Work:

More Related