Question

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

Answer 1

[AI-generated answer — Bot 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.

Answer 2

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

Answer 3

[AI-generated answer — Bot 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.

Answer 4

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

Answer 5

[AI-generated answer — Bot 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.

Answer 6

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

Answer 7

[AI-generated answer — Bot 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.

Answer 8

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

Answer 9

[AI-generated answer — Bot 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.