Distributive Property
Use the distributive property to simplify.
3(x + 2)
3x + 6
Simplify.
-3x - 6x
-9x
Add.
(2x + 6) + (5x + 4)
7x + 10
You purchase 3 blue notebooks ad 2 red notebooks. Each notebook costs $1.30. Use mental math to find the total cost of the notebooks. Justify your answer by using the Distributive Property.
Total cost = $6.50
5( 1+ 0.30) = 5(1) + 5(0.30)
Use the distributive property to simplify.
-2( 2x + 4)
-4x - 8
Simplify.
8c - 5 - 9c
-c - 5
Add.
(4x - 5) + (8x - 6)
12x - 11
Find the difference of 8x and twice the sum of x and 7. Write your answer in simplest form.
6x - 14
Use the distributive property to simplify.
-7/3( 6c - 12)
-14c + 28
Simplify.
6k - 7 - 19 + k
7k - 26
Add.
(-6x + 3) + (-2x - 7)
-8x - 4
A rectangle has a length of x + 5 and a width of 2x - 9. Using the formula for the perimeter of a rectangle, P = 2w + 2l, write an expression to represent the perimeter of the rectangle in simplest form.
6x - 8
Use the distributive property to simplify.
-9 -2(7 - 4x)
8x - 23
Simplify.
2a - 1 - 7b + 4a - b + 13
6a - 8b + 12
Add.
3(x + 4) + (2x + 6)
5x + 18
The angle measures of a triangle are (x + 15), (2x - 20), and 2x. What are the actual angle measures of the triangle?
52, 54, and 74
Use the distributive property to simplify.
-19 -(k + 7) + 10k
9k - 26
Simplify.
4(10k + 1) -4(k - 4)
36k + 20
-1/2(2x - 4) +3(-2x - 6)
-7x - 16
In the triangle on the board, the length of c is one less than twice the length of a. the length of b is four more than the length of c. Write an expression to represent the perimeter of the triangle in terms of side a. Write the answer in simplest form.
5a + 2