use the properties of operations to add 4 (g - 2) + (g + 2)
To add the expression 4(g - 2) + (g + 2), we can first distribute the 4 to the terms inside the parentheses.
4(g - 2) + (g + 2)
= 4g - 8 + (g + 2)
Now, we can simplify by combining like terms:
= 4g + g - 8 + 2
= 5g - 6
So, the simplified expression is 5g - 6.
To add the expression 9(k + 1/3) + 10(1/2k - 1), we can first distribute the coefficients to the terms inside the parentheses.
9(k + 1/3) + 10(1/2k - 1)
= 9k + 9(1/3) + 10(1/2k) - 10(1)
Now, let's simplify each term:
9k + 9(1/3) + 10(1/2k) - 10(1)
= 9k + 3 + 5k - 10
Next, combine like terms:
= (9k + 5k) + (3 - 10)
= 14k - 7
So, the simplified expression is 14k - 7.
use the properties of operations to add 9 (k + 1/3) + 10 (1/2k - 1)
use the properties of operations to subtract (h + k) - (2k - h)
To subtract (h + k) - (2k - h), we can distribute the negative sign to each term inside the parentheses:
(h + k) - (2k - h)
= h + k - 2k + h
Now, let's combine like terms:
= (h + h) + (k - 2k)
= 2h + (-k)
Since (-k) is already simplified, the final expression is:
2h - k
Use the properties of operations to subtract (p - 3) - (2.4 + 2p)
To subtract (p - 3) - (2.4 + 2p), we can first distribute the negative sign to each term inside the second parentheses:
(p - 3) - (2.4 + 2p)
= p - 3 - 2.4 - 2p
Now, let's combine like terms:
= (p - 2p) + (-3 - 2.4)
= -p - 5.4
Thus, the simplified expression is -p - 5.4.
subtract : 2 ( k - 4) - 3 (2k - 1)
To subtract 2(k - 4) - 3(2k - 1), we can distribute the coefficients to each term inside the parentheses:
2(k - 4) - 3(2k - 1)
= 2k - 8 - 6k + 3
Now, let's combine like terms:
= (2k - 6k) + (-8 + 3)
= -4k - 5
Thus, the simplified expression is -4k - 5.
To add 4(g - 2) + (g + 2), we can use the distributive property and combine like terms.
1. Start by applying the distributive property to the term 4(g - 2):
4(g - 2) = 4 * g - 4 * 2
This simplifies to 4g - 8.
2. Now, let's rewrite the expression with the simplified term:
4(g - 2) + (g + 2) = 4g - 8 + (g + 2)
3. Next, we can combine like terms. The terms 4g and g are like terms because they both have the variable g:
4g - 8 + (g + 2) = 4g + g - 8 + 2
Combining 4g and g gives us 5g:
5g - 8 + 2 = 5g - 6
So, the simplified expression is 5g - 6.