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

Question

4
(

−
2
)
+
(

+
2
)
.(1 point)

Answer 1

To add 4(g-2)+(g+2), we can distribute the 4 to both terms inside the parentheses:

4(g-2) = 4g - 8

So the expression becomes:

4g - 8 + (g + 2)

Now, we can combine like terms by adding the terms with the same variable:

4g + g = 5g

And -8 + 2 = -6

Therefore, the final expression is:

5g - 6

Answer 2

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

)
−
(
2

−
ℎ
)
.(1 point)

Answer 3

To subtract (h+k) - (2k-h), we can distribute the negative sign to both terms inside the second parentheses:

(h + k) - (2k - h) = h + k - 2k + h

We can now combine like terms:

(h + h) + (k - 2k) = 2h - k

Therefore, the final expression is:

2h - k

Answer 4

Use the properties of operations to subtract (p−3)−(2.4+2p)
.(1 point)

Answer 5

To subtract (p-3) - (2.4 + 2p), we can distribute the negative sign to both terms inside the second parentheses:

(p - 3) - (2.4 + 2p) = p - 3 - 2.4 - 2p

Now, let's simplify the expression by combining like terms:

(p - 2p) + (-3 - 2.4) = -p - 5.4

Therefore, the final expression is:

-p - 5.4

Answer 6

Subtract: 2(k−4)−3(2k−1)
2
(

−
4
)
−
3
(
2

−
1
)
.(1 point

Answer 7

To subtract 2(k-4) - 3(2k-1), we can first distribute the coefficients:

2(k-4) = 2k - 8
3(2k-1) = 6k - 3

Now, we can subtract the two expressions:

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

Combine like terms:

(2k - 6k) + (-8 + 3) = -4k - 5

Therefore, the final expression is:

-4k - 5