Name:_________________________________ M3L4 Accordino-Math 7 Date:_________ Period:________ Lesson 4: Distributive Property Bellringer 1) (2 points) Find the product for each of the following expressions below (remember to use order of operations!) a. 3(-4 + 5)= b. (-3)(-4 + 5)= 2) Tim says the product of 5(6 – 1) can be rewritten as (5)(6)+(5)(-1) and you will still get the same solution. Is he correct? Show work to support your answer Name:_________________________________ M3L4 Accordino-Math 7 Date:_________ Period:________ Lesson 4: Distributive Property Notes REVIEW: Write the rules for multiplying signed numbers. Ex 1) 3(– 4 + 5)= _______ Ex 2) (-3)(– 4 + 5)= _______ 1. 2. Today I will START by gently reminding you… WATCH YOUR SIGNS!!! (I AM STILL YELLING!!!) Remember the Distributive Property? 3(x + 9) Meaning of the Distributive Property Multiplying Using the Box Method x 3 +9 Name:_________________________________ M3L4 Date:_________ Accordino-Math 7 Period:________ Example 1: 5(21 – 3b) Example 2: 6(5x 3) 1 Remember to combine like terms after you multiply and to write your answer in standard form! Let’s keep trying! 62a 3 6(3x + 6) – 12 Name:_________________________________ M3L4 Accordino-Math 7 Date:_________ Period:________ - 12x +10(4x + 15) 15(2c 1) 1 b You Try! 6(2x + 10) 7(2 x 3) 5x 86 x 2 x 3 4(4x + 6) + 5x+6 Real World Applications?! NO WAY!!! 1) The figure below represents a rectangular fence built to hold in pigs. The length and width are given below. Write an equation that represents the area of the enclosure. (x + 2)ft 5 ft 2) Paul says the area of his bedroom can be represented by the equation A = 3(x + 6). His mom says the area of his bedroom is A = 3x + 18. Who is correct? How do you know? Name:_________________________________ M3L4 Accordino-Math 7 Date:_________ Period:________ Lesson 4: Distributive Property Homework 7) 6(𝑎 + 5) − 2𝑎 + 1 9) 2( z 3) 6 z 8) 7(6 − 9𝑥) + 15 10) 8(2 x 1) 16 MORE ON BACK Name:_________________________________ M3L4 Accordino-Math 7 Date:_________ Period:________ 11. Given the following rectangle: (2x + 1) 6 ft Write an expression that represents the area of the rectangle. Review: 12. A number line is shown below. Which of the following expressions represents the distance between (-2) and 1? a. |(−2) − 1| b. |(−2) − (−1)| c. d. |(−2) + (1)| |1 − 2| 13. While on vacation, Randy and his family hiked to the bottom of Ausable Chasam, which is 150 feet below sea-level. The next day Randy and his family hiked to the top of up Cascade mountain in Lake Placid which has a peak elevation at the top is 4098 feet above sea level. What is the change in elevation that Randy and his family hiked over the course of their two day trip? a. 4248 feet b. -4248 feet c. 3948 feet d. -3948 feet Name:_________________________________ M3L4 Accordino-Math 7 Period:________ Lesson 4: Distributive Property Exit Ticket 1. Use the distributive property to write an equivalent expression in standard form. 2. Write the expression below in standard form. 4x 12 3ℎ − 2(1 + 4ℎ) Date:_________