Use the properties of operations to add 9(k+13)+10(12k−1) .(1 point)
To add 9(k+1/3) + 10(1/2k - 1), we can start by distributing the 9 and the 10.
First, we distribute 9 to (k+1/3):
9(k + 1/3) = 9k + 9(1/3) = 9k + 3
Next, we distribute 10 to (1/2k - 1):
10(1/2k - 1) = 10(1/2k) - 10(1) = (10/2)k - 10 = 5k - 10
Now, we can add the two simplified expressions together:
(9k + 3) + (5k - 10)
Combining like terms (9k and 5k), we have:
14k + 3 - 10
Simplifying further, we get:
14k - 7
So, 9(k+1/3) + 10(1/2k - 1) simplifies to 14k - 7.
To subtract 2(k-4) - 3(2k-1), we can start by simplifying each term.
First, distribute the 2 and the 3 to their respective terms inside the parentheses:
2k - 8 - 6k + 3
Now, we can combine like terms:
(2k - 6k) + (-8 + 3)
Simplifying further:
-4k - 5
Therefore, 2(k-4) - 3(2k-1) simplifies to -4k - 5.
To add 4(g-2) + (g+2), we can distribute the 4 to (g-2) using the distributive property:
4(g-2) = 4g - 4(2) = 4g - 8
Now, we can add the two simplified expressions together:
4g - 8 + (g+2)
Combining like terms (4g and g), we have:
5g - 8 + 2
Simplifying further, we get:
5g - 6
So, 4(g-2) + (g+2) simplifies to 5g - 6.
To subtract (h+k) - (2k - h), we can use the distributive property.
First, distribute the negative sign to the second term inside the parentheses:
(h+k) - 2k + h
To simplify, we can combine like terms:
(2h + k) - 2k
Finally, we can combine like terms again:
2h + k - 2k
Simplifying further, we get:
2h - k
Therefore, (h+k) - (2k - h) simplifies to 2h - k.
To subtract (p-3) - (2.4 + 2p), we can start by simplifying each term.
First, distribute the negative sign to the second term inside the parentheses:
(p - 3) - 2.4 - 2p
Now, we can combine like terms:
p - 3 - 2.4 - 2p
Next, we can combine the p terms:
(p - 2p) - 3 - 2.4
Simplifying further:
-p - 3 - 2.4
Finally, we can combine the numerical terms:
-3 - 2.4 = -5.4
Therefore, (p-3) - (2.4 + 2p) simplifies to -p - 5.4.