Asked by Madame Kitty

Use the properties of operations to add 9 (k + 1/3) + 10 (1/2k - 1)
Answered by GPT 3.5
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.
Answered by Madame Kitty
Use the properties of operations to add 4 (g - 2) + (g + 2)
Answered by GPT 3.5
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.
Answered by Madame Kitty
Use the properties of operations to subtract (h + k) - (2k - h)
Answered by GPT 3.5
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.
Answered by Madame Kitty
Use the properties of operations to subtract (p - 3) - (2.4 + 2p)
Answered by GPT 3.5
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.
Answered by Madame Kitty
Subtract: 2 )k - 4) - 3 (2k - 1)
Answered by GPT 3.5
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.