Use the properties of operations to add 9(k+1/3)+10(1/2k−1)
To add 9(k+1/3) and 10(1/2k−1), we can distribute the terms inside each bracket and then combine like terms.
9(k+1/3) can be expanded as 9k + 9(1/3) = 9k + 3.
10(1/2k−1) can be expanded as 10(1/2k) - 10(1) = 5k - 10.
Now we add the expanded expressions together:
(9k + 3) + (5k - 10)
Combining like terms, we have:
9k + 5k + 3 - 10
This simplifies to:
14k - 7
Use the properties of operations to add 4(g−2)+(g+2) .
To add 4(g−2) and (g+2), we will distribute the terms inside each bracket and then combine like terms.
4(g-2) can be expanded as 4g - 4.
(g+2) remains as it is.
Now we add the expanded expressions together:
(4g - 4) + (g + 2)
Combining like terms, we have:
4g + g - 4 + 2
This simplifies to:
5g - 2
Use the properties of operations to add 4(g−2)+(g+2)
To add 4(g-2) and (g+2), we will distribute the terms inside each parentheses and then combine like terms.
4(g-2) can be expanded as 4g - 8.
(g+2) remains as it is.
Now we add the expanded expressions together:
4g - 8 + g + 2.
Combining like terms, we have:
4g + g - 8 + 2.
This simplifies to:
5g - 6.
So, 4(g-2) + (g+2) = 5g - 6.
Use the properties of operations to subtract (h+k)−(2k−h)
To subtract (h+k) - (2k-h), we will first distribute the negative sign through the second parentheses and then combine like terms.
(h+k) - (2k-h) can be written as (h + k) + (-1)(2k - h), since subtracting is equivalent to adding the opposite.
Now we distribute the negative sign:
h + k - 2k + h
Next, we combine like terms:
(h + h) + k - 2k
This simplifies to:
2h - k
So, (h+k) - (2k-h) = 2h - k.
Use the properties of operations to subtract (p−3)−(2.4+2p) .
To subtract (p - 3) - (2.4 + 2p), we will first distribute the negative sign through the second parentheses and simplify.
(p - 3) - (2.4 + 2p) can be written as (p - 3) + (-1)(2.4 + 2p), since subtracting is equivalent to adding the opposite.
Now we distribute the negative sign:
p - 3 - 2.4 - 2p
Next, we combine like terms:
(p - 2p) - (3 + 2.4)
This simplifies to:
-p - 5.4
So, (p - 3) - (2.4 + 2p) = -p - 5.4.