Question

use the properties of operations to add 4 (g - 2) + (g + 2)

Answer 1

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.

Answer 2

use the properties of operations to add 9 (k + 1/3) + 10 (1/2k - 1)

Answer 3

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.

Answer 4

use the properties of operations to subtract (h + k) - (2k - h)

Answer 5

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

Answer 6

Use the properties of operations to subtract (p - 3) - (2.4 + 2p)

Answer 7

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.

Answer 8

subtract : 2 ( k - 4) - 3 (2k - 1)

Answer 9

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.