To solve this expression, we can distribute the coefficients to each term within the parentheses.
First, distribute 9 to (k + 1/3):
9(k + 1/3) = 9k + 9(1/3) = 9k + 3
Next, distribute 10 to (1/2k - 1):
10(1/2k - 1) = 10(1/2k) + 10(-1) = 5k - 10
Now, we can add the two simplified expressions together:
(9k + 3) + (5k - 10)
Combining like terms, we get:
9k + 5k + 3 - 10
Simplifying further:
14k - 7
Therefore, 9 (k + 1/3) + 10 (1/2k - 1) simplifies to 14k - 7.
Use the properties of operations to add 9 (k + 1/3) + 10 (1/2k - 1)
9 answers
Use the properties of operations to add 4 (g - 2) + (g + 2)
To solve this expression, we can distribute the coefficients to each term within the parentheses.
First, distribute 4 to (g - 2):
4(g - 2) = 4g - 4(2) = 4g - 8
Next, distribute 1 to (g + 2):
1(g + 2) = g + 1(2) = g + 2
Now, we can add the two simplified expressions together:
(4g - 8) + (g + 2)
Combining like terms, we get:
4g + g - 8 + 2
Simplifying further:
5g - 6
Therefore, 4 (g - 2) + (g + 2) simplifies to 5g - 6.
First, distribute 4 to (g - 2):
4(g - 2) = 4g - 4(2) = 4g - 8
Next, distribute 1 to (g + 2):
1(g + 2) = g + 1(2) = g + 2
Now, we can add the two simplified expressions together:
(4g - 8) + (g + 2)
Combining like terms, we get:
4g + g - 8 + 2
Simplifying further:
5g - 6
Therefore, 4 (g - 2) + (g + 2) simplifies to 5g - 6.
Use the properties of operations to subtract (h + k) - (2k - h)
To solve this expression, we can distribute the negative sign to each term within the second parentheses:
(h + k) - (2k - h) = h + k - 2k + h
Combining like terms, we get:
(h + h) + (k - 2k)
Simplifying further:
2h - k
Therefore, (h + k) - (2k - h) simplifies to 2h - k.
(h + k) - (2k - h) = h + k - 2k + h
Combining like terms, we get:
(h + h) + (k - 2k)
Simplifying further:
2h - k
Therefore, (h + k) - (2k - h) simplifies to 2h - k.
Use the properties of operations to subtract (p - 3) - (2.4 + 2p)
To solve this expression, we can distribute the negative sign to each term within the second parentheses:
(p - 3) - (2.4 + 2p) = p - 3 - 2.4 - 2p
Combining like terms, we get:
(p - 2p) - (3 + 2.4)
Simplifying further:
-p - 5.4
Therefore, (p - 3) - (2.4 + 2p) simplifies to -p - 5.4.
(p - 3) - (2.4 + 2p) = p - 3 - 2.4 - 2p
Combining like terms, we get:
(p - 2p) - (3 + 2.4)
Simplifying further:
-p - 5.4
Therefore, (p - 3) - (2.4 + 2p) simplifies to -p - 5.4.
Subtract: 2 )k - 4) - 3 (2k - 1)
To solve this expression, we can distribute the negative sign to each term within the first parentheses, and then distribute the negative sign to each term within the second parentheses:
(2k - 4) - 3(2k - 1) = 2k - 4 - 3(2k) + 3(1)
Simplifying further:
2k - 4 - 6k + 3
Combining like terms, we get:
(2k - 6k) - (4 + 3)
Simplifying further:
-4k - 7
Therefore, (2k - 4) - 3(2k - 1) simplifies to -4k - 7.
(2k - 4) - 3(2k - 1) = 2k - 4 - 3(2k) + 3(1)
Simplifying further:
2k - 4 - 6k + 3
Combining like terms, we get:
(2k - 6k) - (4 + 3)
Simplifying further:
-4k - 7
Therefore, (2k - 4) - 3(2k - 1) simplifies to -4k - 7.