Dr Fowler CCM Distributive Property Advanced Problems Distributive
![Dr. Fowler CCM Distributive Property: Advanced Problems Dr. Fowler CCM Distributive Property: Advanced Problems](https://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-1.jpg)
Dr. Fowler CCM Distributive Property: Advanced Problems
![Distributive Property a × (b + c) = a × b + a × Distributive Property a × (b + c) = a × b + a ×](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-2.jpg)
Distributive Property a × (b + c) = a × b + a × c ab + ac
![An example: 6 x 13 using your mental math skills. . . symbolically: 6 An example: 6 x 13 using your mental math skills. . . symbolically: 6](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-3.jpg)
An example: 6 x 13 using your mental math skills. . . symbolically: 6 × (10 + 3) = 6 × 10 + 6 × 3 and pictorially (rectangular array area model): 6 10 3 6 × 10 6× 3
![Use the Distributive Property to write as an equivalent expression. Then evaluate the expression. Use the Distributive Property to write as an equivalent expression. Then evaluate the expression.](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-4.jpg)
Use the Distributive Property to write as an equivalent expression. Then evaluate the expression. Multiply. Add. Answer: 52
![Use the Distributive Property to write as an equivalent expression. Then evaluate the expression. Use the Distributive Property to write as an equivalent expression. Then evaluate the expression.](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-5.jpg)
Use the Distributive Property to write as an equivalent expression. Then evaluate the expression. ***It doesn’t matter which side of the parenthesis the number is on. The property works the same. Multiply. Add. Answer: 30
![Use the Distributive Property to write each expression as an equivalent expression. Then evaluate Use the Distributive Property to write each expression as an equivalent expression. Then evaluate](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-6.jpg)
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the expression. a. Answer: b. Answer:
![Real Life Example: Recreation North Country Rivers of York, Maine, offers one-day white-water rafting Real Life Example: Recreation North Country Rivers of York, Maine, offers one-day white-water rafting](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-7.jpg)
Real Life Example: Recreation North Country Rivers of York, Maine, offers one-day white-water rafting trips on the Kennebec River. The trip costs $69 person, and wet suits are $15 each. Write two equivalent expressions to find the total cost of one trip for a family of four if each person uses a wet suit. Method 1 Find the cost for 1 person, then multiply by 4. cost for 1 person
![Method 2 cost of 4 trips Find the cost of 4 trips and 4 Method 2 cost of 4 trips Find the cost of 4 trips and 4](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-8.jpg)
Method 2 cost of 4 trips Find the cost of 4 trips and 4 wet suits. Then add. cost of 4 wet suits
![Evaluate either expression to find the total cost. Distributive Property Multiply. Add. Answer: The Evaluate either expression to find the total cost. Distributive Property Multiply. Add. Answer: The](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-9.jpg)
Evaluate either expression to find the total cost. Distributive Property Multiply. Add. Answer: The total cost is $336. Check You can check your results by evaluating 4($84).
![Movies The cost of a movie ticket is $7 and the cost of a Movies The cost of a movie ticket is $7 and the cost of a](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-10.jpg)
Movies The cost of a movie ticket is $7 and the cost of a box of popcorn is $2. a. Write two equivalent expressions to find the total cost for a family of five to go to the movies if each member of the family gets a box of popcorn. Answer: b. Find the total cost. Answer: $45
![Use the Distributive Property to write as an equivalent algebraic expression. Simplify. Answer: Use the Distributive Property to write as an equivalent algebraic expression. Simplify. Answer:](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-11.jpg)
Use the Distributive Property to write as an equivalent algebraic expression. Simplify. Answer:
![Use the Distributive Property to write as an equivalent algebraic expression. Simplify. Answer: Use the Distributive Property to write as an equivalent algebraic expression. Simplify. Answer:](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-12.jpg)
Use the Distributive Property to write as an equivalent algebraic expression. Simplify. Answer:
![Use the Distributive Property to write each expression as an equivalent algebraic expression. a. Use the Distributive Property to write each expression as an equivalent algebraic expression. a.](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-13.jpg)
Use the Distributive Property to write each expression as an equivalent algebraic expression. a. Answer: b. Answer:
![Use the Distributive Property to write as an equivalent algebraic expression. Rewrite as Distributive Use the Distributive Property to write as an equivalent algebraic expression. Rewrite as Distributive](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-14.jpg)
Use the Distributive Property to write as an equivalent algebraic expression. Rewrite as Distributive Property Simplify. Definition of subtraction Answer:
![Use the Distributive Property to write as an equivalent algebraic expression. Rewrite as Distributive Use the Distributive Property to write as an equivalent algebraic expression. Rewrite as Distributive](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-15.jpg)
Use the Distributive Property to write as an equivalent algebraic expression. Rewrite as Distributive Property Simplify. Answer:
![Use the Distributive Property to write each expression as an equivalent algebraic expression. a. Use the Distributive Property to write each expression as an equivalent algebraic expression. a.](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-16.jpg)
Use the Distributive Property to write each expression as an equivalent algebraic expression. a. Answer: b. Answer:
![Real-Life Example 2 Mental Math Real-Life Example 2 Mental Math](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-17.jpg)
Real-Life Example 2 Mental Math
![The distributive property is mental math strategy that can be used when multiplying. 43 The distributive property is mental math strategy that can be used when multiplying. 43](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-18.jpg)
The distributive property is mental math strategy that can be used when multiplying. 43 x 5 =?
![Break apart the double-digit number. 43 x 5 =? 40 + 3 Break apart the double-digit number. 43 x 5 =? 40 + 3](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-19.jpg)
Break apart the double-digit number. 43 x 5 =? 40 + 3
![Then multiply each part by 5. 43 x 5 =? 40 x 5 + Then multiply each part by 5. 43 x 5 =? 40 x 5 +](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-20.jpg)
Then multiply each part by 5. 43 x 5 =? 40 x 5 + 3 x 5
![Then multiply each part by 5. 43 x 5 =? 40 x 5 200 Then multiply each part by 5. 43 x 5 =? 40 x 5 200](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-21.jpg)
Then multiply each part by 5. 43 x 5 =? 40 x 5 200 + 3 x 5 15
![Finally, sum your two products 43 x 5 =215 40 + 3 x 5 Finally, sum your two products 43 x 5 =215 40 + 3 x 5](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-22.jpg)
Finally, sum your two products 43 x 5 =215 40 + 3 x 5 200 + 15 = 215
![Let’s look at another example. 53 x 6 = ? Let’s look at another example. 53 x 6 = ?](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-23.jpg)
Let’s look at another example. 53 x 6 = ?
![Break apart the double-digit number. 53 x 6 = ? Break apart the double-digit number. 53 x 6 = ?](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-24.jpg)
Break apart the double-digit number. 53 x 6 = ?
![Break apart the double-digit number. 53 x 6 = ? 50 + 3 Break apart the double-digit number. 53 x 6 = ? 50 + 3](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-25.jpg)
Break apart the double-digit number. 53 x 6 = ? 50 + 3
![Multiply each part by 6. 53 x 6 = ? 50 x 6 + Multiply each part by 6. 53 x 6 = ? 50 x 6 +](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-26.jpg)
Multiply each part by 6. 53 x 6 = ? 50 x 6 + 3 x 6
![Multiply each part by 6. 53 x 6 = ? 50 x 6 300 Multiply each part by 6. 53 x 6 = ? 50 x 6 300](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-27.jpg)
Multiply each part by 6. 53 x 6 = ? 50 x 6 300 + 3 x 6 18
![Sum the two products. 53 x 6 = 318 50 + 3 x 6 Sum the two products. 53 x 6 = 318 50 + 3 x 6](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-28.jpg)
Sum the two products. 53 x 6 = 318 50 + 3 x 6 300 + 18 = 318
![The word “distribute” means “to give out. ” The word “distribute” means “to give out. ”](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-29.jpg)
The word “distribute” means “to give out. ”
![Distribute the cubes to the girls. Distribute the cubes to the girls.](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-30.jpg)
Distribute the cubes to the girls.
![Distribute the cubes to the girls. Distribute the cubes to the girls.](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-31.jpg)
Distribute the cubes to the girls.
![Distribute the cubes to the girls. Distribute the cubes to the girls.](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-32.jpg)
Distribute the cubes to the girls.
![Distribute the cubes to the girls. Distribute the cubes to the girls.](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-33.jpg)
Distribute the cubes to the girls.
![Distribute the cubes to the girls. Distribute the cubes to the girls.](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-34.jpg)
Distribute the cubes to the girls.
![Distribute the cubes to the girls. Distribute the cubes to the girls.](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-35.jpg)
Distribute the cubes to the girls.
![In this example, the 5 was distributed. 5 x 38 = 5 x (30 In this example, the 5 was distributed. 5 x 38 = 5 x (30](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-36.jpg)
In this example, the 5 was distributed. 5 x 38 = 5 x (30 + 8) = (5 x 30) + (5 x 8)
![In this example, the 7 was distributed. 7 x 46 = 7 x (40 In this example, the 7 was distributed. 7 x 46 = 7 x (40](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-37.jpg)
In this example, the 7 was distributed. 7 x 46 = 7 x (40 + 6) = (7 x 40) + (7 x 6)
![Find the area of the rectangle. Area = length x width 6 ft 24 Find the area of the rectangle. Area = length x width 6 ft 24](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-38.jpg)
Find the area of the rectangle. Area = length x width 6 ft 24 ft
![Find the area of the rectangle. Area = length x width 6 ft 24 Find the area of the rectangle. Area = length x width 6 ft 24](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-39.jpg)
Find the area of the rectangle. Area = length x width 6 ft 24 ft
![Find the area of the rectangle. Area = length x width 6 ft 20 Find the area of the rectangle. Area = length x width 6 ft 20](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-40.jpg)
Find the area of the rectangle. Area = length x width 6 ft 20 ft + 4 ft
![Find the area of the rectangle. Area = length x width 6 ft 20 Find the area of the rectangle. Area = length x width 6 ft 20](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-41.jpg)
Find the area of the rectangle. Area = length x width 6 ft 20 ft + 4 ft
![Find the area of the rectangle. Area = length x width 6 ft 20 Find the area of the rectangle. Area = length x width 6 ft 20](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-42.jpg)
Find the area of the rectangle. Area = length x width 6 ft 20 ft + 4 ft
![Find the area of the rectangle. Area = length x width Find the area Find the area of the rectangle. Area = length x width Find the area](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-43.jpg)
Find the area of the rectangle. Area = length x width Find the area of each rectangle. 6 ft 20 ft + 4 ft
![Find the area of the rectangle. Area = length x width Find the area Find the area of the rectangle. Area = length x width Find the area](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-44.jpg)
Find the area of the rectangle. Area = length x width Find the area of each rectangle. 6 ft 6 x 20 = 120 sq ft 20 ft 6 ft + 4 ft
![Find the area of the rectangle. Area = length x width Find the area Find the area of the rectangle. Area = length x width Find the area](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-45.jpg)
Find the area of the rectangle. Area = length x width Find the area of each rectangle. 6 ft 6 x 20 = 120 sq ft 6 x 4 = 24 sq ft 20 ft + 4 ft
![Find the area of the rectangle. Area = length x width Find the area Find the area of the rectangle. Area = length x width Find the area](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-46.jpg)
Find the area of the rectangle. Area = length x width Find the area of each rectangle. 6 ft 120 sq ft 20 ft 6 ft + 24 sq ft 4 ft
![Find the area of the rectangle. Area = length x width Now put the Find the area of the rectangle. Area = length x width Now put the](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-47.jpg)
Find the area of the rectangle. Area = length x width Now put the two rectangles back together. 6 ft 120 sq ft 20 ft 6 ft + 24 sq ft 4 ft
![Find the area of the rectangle. Area = length x width Now put the Find the area of the rectangle. Area = length x width Now put the](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-48.jpg)
Find the area of the rectangle. Area = length x width Now put the two rectangles back together. 6 ft 120 sq ft 20 ft 24 sq ft + 4 ft
![Find the area of the rectangle. Area = length x width Now put the Find the area of the rectangle. Area = length x width Now put the](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-49.jpg)
Find the area of the rectangle. Area = length x width Now put the two rectangles back together. 6 ft 120 sq ft 20 ft 24 sq ft + 4 ft
![Find the area of the rectangle. Area = length x width Now put the Find the area of the rectangle. Area = length x width Now put the](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-50.jpg)
Find the area of the rectangle. Area = length x width Now put the two rectangles back together. 6 ft 120 sq ft + 24 sq ft 24 ft
![Find the area of the rectangle. Area = length x width Now put the Find the area of the rectangle. Area = length x width Now put the](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-51.jpg)
Find the area of the rectangle. Area = length x width Now put the two rectangles back together. 6 ft 144 sq ft 24 ft
![A swimming pool has a shallow end a deep end. Find the surface area A swimming pool has a shallow end a deep end. Find the surface area](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-52.jpg)
A swimming pool has a shallow end a deep end. Find the surface area of the pool. 8 yds deepw ater 5 yds shallow water 10 yds
![Break the pool into a deep end a shallow end. 8 yds deepw ater Break the pool into a deep end a shallow end. 8 yds deepw ater](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-53.jpg)
Break the pool into a deep end a shallow end. 8 yds deepw ater 5 yds 8 yds shallow water 10 yds
![Find the area of the deep end. 8 yds deepw ater 5 yds 8 Find the area of the deep end. 8 yds deepw ater 5 yds 8](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-54.jpg)
Find the area of the deep end. 8 yds deepw ater 5 yds 8 yds shallow water 10 yds
![Find the area of the deep end. 8 yds 8 x 5 = 40 Find the area of the deep end. 8 yds 8 x 5 = 40](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-55.jpg)
Find the area of the deep end. 8 yds 8 x 5 = 40 5 yds 8 yds shallow water 10 yds
![Find the area of the shallow end. 8 yds 8 x 5 = 40 Find the area of the shallow end. 8 yds 8 x 5 = 40](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-56.jpg)
Find the area of the shallow end. 8 yds 8 x 5 = 40 5 yds 8 yds shallow water 10 yds
![Find the area of the shallow end. 8 yds 8 x 5 = 40 Find the area of the shallow end. 8 yds 8 x 5 = 40](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-57.jpg)
Find the area of the shallow end. 8 yds 8 x 5 = 40 5 yds 8 x 10 = 80 10 yds
![Now sum the two areas together. 8 yds 8 x 5 = 40 5 Now sum the two areas together. 8 yds 8 x 5 = 40 5](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-58.jpg)
Now sum the two areas together. 8 yds 8 x 5 = 40 5 yds 8 x 10 = 80 10 yds
![Now sum the two areas together. 8 yds 40 5 yds + 80 10 Now sum the two areas together. 8 yds 40 5 yds + 80 10](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-59.jpg)
Now sum the two areas together. 8 yds 40 5 yds + 80 10 yds
![40 + 80 = 120 square yards 8 yds 40 5 yds 80 10 40 + 80 = 120 square yards 8 yds 40 5 yds 80 10](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-60.jpg)
40 + 80 = 120 square yards 8 yds 40 5 yds 80 10 yds
![Write an expression that shows how to find the area of the rectangle and Write an expression that shows how to find the area of the rectangle and](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-61.jpg)
Write an expression that shows how to find the area of the rectangle and uses the distributive property. 9 yds 5 yds 20 yds
![Find the areas for each individual rectangle. 9 yds 5 yds 20 yds Find the areas for each individual rectangle. 9 yds 5 yds 20 yds](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-62.jpg)
Find the areas for each individual rectangle. 9 yds 5 yds 20 yds
![Find the areas for each individual rectangle. 9 yds (9 x 5) 5 yds Find the areas for each individual rectangle. 9 yds (9 x 5) 5 yds](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-63.jpg)
Find the areas for each individual rectangle. 9 yds (9 x 5) 5 yds 20 yds
![Find the areas for each individual rectangle. 9 yds (9 x 5) (9 x Find the areas for each individual rectangle. 9 yds (9 x 5) (9 x](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-64.jpg)
Find the areas for each individual rectangle. 9 yds (9 x 5) (9 x 20) 5 yds 20 yds
![Sum the two areas. 9 yds (9 x 5) 5 yds + (9 x Sum the two areas. 9 yds (9 x 5) 5 yds + (9 x](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-65.jpg)
Sum the two areas. 9 yds (9 x 5) 5 yds + (9 x 20) 20 yds
![(9 x 5) + (9 x 20) = area 9 yds (9 x 5) (9 x 5) + (9 x 20) = area 9 yds (9 x 5)](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-66.jpg)
(9 x 5) + (9 x 20) = area 9 yds (9 x 5) (9 x 20) 5 yds 20 yds
![Practice Time Practice Time](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-67.jpg)
Practice Time
![1) Which of the following expressions shows the distributive property for 5 x (3 1) Which of the following expressions shows the distributive property for 5 x (3](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-68.jpg)
1) Which of the following expressions shows the distributive property for 5 x (3 + 7)? (5 + 3) x (5 + 7) (5 x 3) x (5 x 7) (5 x 3) + (5 x 7)
![1) Which of the following expressions shows the distributive property for 5 x (3 1) Which of the following expressions shows the distributive property for 5 x (3](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-69.jpg)
1) Which of the following expressions shows the distributive property for 5 x (3 + 7)? Correct! (5 x 3) + (5 x 7)
![2) Which of the following expressions shows the distributive property for 3 x (9 2) Which of the following expressions shows the distributive property for 3 x (9](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-70.jpg)
2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ? (3 x 9) + (3 x 4) (3 + 9) + (3 + 4) (3 + 9) x (3 + 4)
![2) Which of the following expressions shows the distributive property for 3 x (9 2) Which of the following expressions shows the distributive property for 3 x (9](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-71.jpg)
2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ? (3 x 9) + (3 x 4) Correct!
![3) Which of the following expressions is equivalent to: 2+3+2+3 and shows the distributive 3) Which of the following expressions is equivalent to: 2+3+2+3 and shows the distributive](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-72.jpg)
3) Which of the following expressions is equivalent to: 2+3+2+3 and shows the distributive property. 2+2+3+3 2 x (2 + 3) 3 x (2 + 3)
![3) Which of the following expressions is equivalent to: 2+3+2+3 and uses the distributive 3) Which of the following expressions is equivalent to: 2+3+2+3 and uses the distributive](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-73.jpg)
3) Which of the following expressions is equivalent to: 2+3+2+3 and uses the distributive property. 2 x (2 + 3) Correct!
![4) Which of the following expressions is equivalent to: (4 x 3) + (4 4) Which of the following expressions is equivalent to: (4 x 3) + (4](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-74.jpg)
4) Which of the following expressions is equivalent to: (4 x 3) + (4 x 8) ? 3 x (4 + 8) 8 x (3 + 4) 4 x (3 + 8)
![4) Which of the following expressions is equivalent to: (4 x 3) + (4 4) Which of the following expressions is equivalent to: (4 x 3) + (4](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-75.jpg)
4) Which of the following expressions is equivalent to: (4 x 3) + (4 x 8) ? Correct! 4 x (3 + 8)
![5) Which of the following expressions is equivalent to: (5 x 9) + (5 5) Which of the following expressions is equivalent to: (5 x 9) + (5](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-76.jpg)
5) Which of the following expressions is equivalent to: (5 x 9) + (5 x 3) ? 3 x (9 + 5) 5 x (9 + 3) 9 x (3 + 5)
![5) Which of the following expressions is equivalent to: (5 x 9) + (5 5) Which of the following expressions is equivalent to: (5 x 9) + (5](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-77.jpg)
5) Which of the following expressions is equivalent to: (5 x 9) + (5 x 3) ? 5 x (9 + 3) Correct!
![6) Write an expression that shows how to find the area of the rectangle 6) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-78.jpg)
6) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 yds 3 yds 9 yds
![6) Write an expression that shows how to find the area of the rectangle 6) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-79.jpg)
6) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 yds 3 yds 9 yds
![6) Write an expression that shows how to find the area of the rectangle 6) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-80.jpg)
6) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 yds 3 yds 9 yds
![6) Write an expression that shows how to find the area of the rectangle 6) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-81.jpg)
6) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 yds 4 yd s 3 yds 9 yds
![6) Write an expression that shows how to find the area of the rectangle 6) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-82.jpg)
6) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 yds 4 x 3 3 yds 4 yd s 9 yds
![6) Write an expression that shows how to find the area of the rectangle 6) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-83.jpg)
6) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 yds 4 x 3 3 yds 4 yd s 4 x 9 9 yds
![6) Write an expression that shows how to find the area of the rectangle 6) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-84.jpg)
6) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 x 3 4 yds 4 x 9 4 yd s 3 yds 9 yds
![6) Write an expression that shows how to find the area of the rectangle 6) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-85.jpg)
6) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 x 3 4 x 9 4 yds 3 yds 9 yds
![6) Write an expression that shows how to find the area of the rectangle 6) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-86.jpg)
6) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 x 3 4 x 9 4 yds 3 yds 9 yds
![6) Write an expression that shows how to find the area of the rectangle 6) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-87.jpg)
6) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 4 x 3 + 4 x 9 4 yds 3 yds 9 yds
![7) Write an expression that shows how to find the area of the rectangle 7) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-88.jpg)
7) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 6 yds 4 yds 8 yds
![7) Write an expression that shows how to find the area of the rectangle 7) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-89.jpg)
7) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 6 yds 4 yds 8 yds
![7) Write an expression that shows how to find the area of the rectangle 7) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-90.jpg)
7) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 6 yds 4 yds 8 yds
![7) Write an expression that shows how to find the area of the rectangle 7) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-91.jpg)
7) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 6 yds 4 yds 8 yds
![7) Write an expression that shows how to find the area of the rectangle 7) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-92.jpg)
7) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 6 yds 6 x 4 4 yds 6 yds 8 yds
![7) Write an expression that shows how to find the area of the rectangle 7) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-93.jpg)
7) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 6 yds 6 x 4 4 yds 6 x 8 8 yds
![7) Write an expression that shows how to find the area of the rectangle 7) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-94.jpg)
7) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 6 x 4 6 yds 6 x 8 6 yds 4 yds 8 yds
![7) Write an expression that shows how to find the area of the rectangle 7) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-95.jpg)
7) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 6 x 4 6 x 8 6 yds 4 yds 8 yds
![7) Write an expression that shows how to find the area of the rectangle 7) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-96.jpg)
7) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 6 x 4 6 x 8 6 yds 4 yds 8 yds
![7) Write an expression that shows how to find the area of the rectangle 7) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-97.jpg)
7) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 6 x 4 + 6 x 8 6 yds 4 yds 8 yds
![8) Write an expression that shows how to find the area of the rectangle 8) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-98.jpg)
8) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 5 yds 2 yds 10 yds
![8) Write an expression that shows how to find the area of the rectangle 8) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-99.jpg)
8) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 5 yds 5 x 2 2 yds 5 x 10 10 yds
![8) Write an expression that shows how to find the area of the rectangle 8) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-100.jpg)
8) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 5 x 2 + 5 x 10 5 yds 2 yds 10 yds
![9) Write an expression that shows how to find the area of the rectangle 9) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-101.jpg)
9) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 8 yds 3 yds 5 yds
![9) Write an expression that shows how to find the area of the rectangle 9) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-102.jpg)
9) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 8 yds 8 x 3 3 yds 8 x 5 5 yds
![9) Write an expression that shows how to find the area of the rectangle 9) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-103.jpg)
9) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 8 x 3 + 8 x 5 8 yds 3 yds 5 yds
![10) Write an expression that shows how to find the area of the rectangle 10) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-104.jpg)
10) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 5 yds x yds 10 yds
![10) Write an expression that shows how to find the area of the rectangle 10) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-105.jpg)
10) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 5 yds 5 x x yds 5 ∙ 10 10 yds
![10) Write an expression that shows how to find the area of the rectangle 10) Write an expression that shows how to find the area of the rectangle](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-106.jpg)
10) Write an expression that shows how to find the area of the rectangle and uses the distributive property. 5 x + 5 ∙ 10 5 yds x yds 10 yds
![11) Which expression is equivalent to 3(x + 7)? x + 10 x + 11) Which expression is equivalent to 3(x + 7)? x + 10 x +](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-107.jpg)
11) Which expression is equivalent to 3(x + 7)? x + 10 x + 21 3 x + 7 3 x + 21
![11) Which expression is equivalent to 3(x + 7)? 3 x + 21 Correct! 11) Which expression is equivalent to 3(x + 7)? 3 x + 21 Correct!](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-108.jpg)
11) Which expression is equivalent to 3(x + 7)? 3 x + 21 Correct!
![12) Which expression is equivalent to 4(x + 5)? x+9 4 x + 20 12) Which expression is equivalent to 4(x + 5)? x+9 4 x + 20](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-109.jpg)
12) Which expression is equivalent to 4(x + 5)? x+9 4 x + 20 4 x + 5 9 x
![12) Which expression is equivalent to 4(x + 5)? 4 x + 20 Correct! 12) Which expression is equivalent to 4(x + 5)? 4 x + 20 Correct!](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-110.jpg)
12) Which expression is equivalent to 4(x + 5)? 4 x + 20 Correct!
![13) Which expression is equivalent to 8(x + 2)? 10 x 8 x + 13) Which expression is equivalent to 8(x + 2)? 10 x 8 x +](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-111.jpg)
13) Which expression is equivalent to 8(x + 2)? 10 x 8 x + 2 8 x + 16 8 x + 10
![13) Which expression is equivalent to 8(x + 2)? 8 x + 16 Correct! 13) Which expression is equivalent to 8(x + 2)? 8 x + 16 Correct!](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-112.jpg)
13) Which expression is equivalent to 8(x + 2)? 8 x + 16 Correct!
![14) Which expression is equivalent to 2(x + 3)? 2 x + 6 2 14) Which expression is equivalent to 2(x + 3)? 2 x + 6 2](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-113.jpg)
14) Which expression is equivalent to 2(x + 3)? 2 x + 6 2 x + 5 2 x + 3 2 x + 2
![14) Which expression is equivalent to 2(x + 3)? 2 x + 6 Correct! 14) Which expression is equivalent to 2(x + 3)? 2 x + 6 Correct!](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-114.jpg)
14) Which expression is equivalent to 2(x + 3)? 2 x + 6 Correct!
![Click below to see video • http: //www. youtube. com/watch? v=n. Vb. Rzh OIgm Click below to see video • http: //www. youtube. com/watch? v=n. Vb. Rzh OIgm](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-115.jpg)
Click below to see video • http: //www. youtube. com/watch? v=n. Vb. Rzh OIgm 0 • http: //glencoe. mcgrawhill. com/sites/007888523 x/student_view 0/c hapter 4/lesson 1/personal_tutor. html • http: //www. youtube. com/watch? v=itmz 8 i 62 Ag 4
![Click to Test Your Skills • http: //glencoe. mcgrawhill. com/sites/007888523 x/student_view 0/chapter 4/lesso n Click to Test Your Skills • http: //glencoe. mcgrawhill. com/sites/007888523 x/student_view 0/chapter 4/lesso n](http://slidetodoc.com/presentation_image_h2/1b0c5d1346fffed449418e0ca3017691/image-116.jpg)
Click to Test Your Skills • http: //glencoe. mcgrawhill. com/sites/007888523 x/student_view 0/chapter 4/lesso n 1/self-check_quizzes. html • http: //www. algebrahelp. com/worksheets/view/simplifying/ distribution. quiz • http: //algebralab. org/studyaids/studyaid. aspx? file=Algebr a 1_2 -6. xml • http: //www. algebra-class. com/distributive-propertypractice. html • http: //www. algebralab. com/practice. aspx? file=Al gebra 1_2 -6. xml
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