The Distributive Property
3(2x + 2)
6x + 6
Combine like terms:
6 + 3 - 5m + 9m
4m + 9
Add the expressions ...
(5x + 4) + (9x + 5)
14x + 9
Subtract the expressions ...
(5x + 4) - (3x + 2)
2x + 2
10x−12
where x=3
18
7(3 + 12)
105
Combine like terms:
8a - 3a + 15b + 9b
5a + 24b
Add the expressions ...
(-x + 4) + (-2x - 5)
-3x - 1
Subtract the expressions ...
(11x + 12) - (4x + 9)
7x - 3
8+2x−6
where x=4
10
–4(5z + 2)
-20z - 8
Combine like terms:
4x - 3x + 12 + 19
x + 31
Add the expressions ...
(4x + 3) + (-2x + 7)
2x + 10
Subtract the expressions ...
(3x + 8) - (2x + 5)
x + 3
10x+3y−8
where x=−2,y=4
-16
1/4(x - 16)
1/4x - 4
Combine like terms:
2c - 3d + 5c + 4d
7c + d
Add the expressions ...
3(x - 8) + (4x - 5)
7x - 29
Subtract the expressions ...
(9x + 9) - (2x + 1)
7x + 8
6x−4y+9
where x=1,y=5
-5
Fifteen students are buying t-shirts that cost $10.60 each. Use the distributive property to find the total cost of the shirts.
$159
15($10 + $0.60)
Identify the terms, like terms, coefficients, and constants in this expression. Then simplify the expression:
12m - 19x - 3m + 19x
9m
Terms: 12m, -19x, -3m, 19x
Like terms: 12m & -3m, -19x & 19x
Coefficients: 12, -3, -19, 19
Constants: none
Add the expressions ...
3(3x + 11) + 4(3x + 8)
(9x + 33) + (12x + 24)
21x + 57
Subtract the expressions ...
(8x + 8) - (-3x + 4)
5x - 4
6x−3(2x−4)+5
where x=7
17