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

A. 5g- 10

B. 5g - 6

C. 5g

D. 5g + 10

To simplify the expression (g - 2) + (g + 2), we can follow the steps:

First, apply the distributive property by multiplying 4 to each term inside the parentheses:
4(g - 2) + 4(g + 2)

Next, simplify each part:
4g - 8 + 4g + 8

Now, combine the like terms:
8g + 0

Finally, any number added with 0 is equal to itself, so the simplified expression is:
8g

Therefore, the correct answer is C. 5g.

Use the properties of operations to Subtract (h + k) - (2k - h).

A. 2h + k

B. -2h - k

C. -k

D. 2h - k

To simplify the expression (h + k) - (2k - h), we should first distribute the negative sign inside the second parentheses:

(h + k) - 2k + h

Next, combine like terms:

2h - 2k + k

Finally, simplify further:

2h - k

Therefore, the correct answer is D. 2h - k.

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

A. p - 5.4

B. -p - 5.4

C. -p + 5.4

D. 3p - 5.4

To simplify the expression (p - 3) - (2.4 + 2p), we should first distribute the negative sign inside the second parentheses:

(p - 3) - 2.4 - 2p

Next, combine like terms:

p - 2p - 3 - 2.4

Combine the like terms further:

-p - 3 - 2.4

Simplify the constants:

-p - 5.4

Therefore, the correct answer is B. -p - 5.4.

Subtract: 2 (k - 4) - 3 (2k - 1).

A. -4k - 11

B. -4k - 5

C. -6k - 18

D. 8k - 11

Let's apply the distributive property to simplify the expression:

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

First, distribute the 2 and 3:

2k - 8 - 6k + 3

Next, combine like terms:

(2k - 6k) + (-8 + 3)

-4k - 5

Therefore, the correct answer is B. -4k - 5.

The given sequence of numbers does not follow any obvious pattern. It appears to be a random sequence of digits and cannot be assigned any specific meaning or value.

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

5g 10
5g-6
5g
5g+10