Question

Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x ?(1 point)
Responses

23−7x−4+11x
23 minus 7 x minus 4 plus 11 x

23−18x−45+11x
23 minus 18 x minus 45 plus 11 x

14(2x+5)+11x
14 left parenthesis 2 x plus 5 right parenthesis plus 11 x

14(2x+5+11x)

Answer 1

Simplify −4(7b+3)+24b−8 .(1 point)
Responses

4b+20
4 b plus 20

−4b−20
negative 4 b minus 20

−4b+20
negative 4 b plus 20

4b−20

Answer 2

Simplify 2(3v+9)−14−6(−5v−4) .(1 point)
Responses

−6v−13
negative 6 v minus 13

106v+98
106 v plus 98

−24v−20
negative 24 v minus 20

36v+28

Answer 3

−15+45(15e−10)−10e .(1 point)
Responses

2e−23
2 e minus 23

−2e−23
negative 2 e minus 23

−2e+23
negative 2 e plus 23

2e+23

Answer 4

−15+4/5(15e−10)−10e .(1 point)
Responses

2e−23
2 e minus 23

−2e−23
negative 2 e minus 23

−2e+23
negative 2 e plus 23

2e+23

Answer 5

Simplify 5(7x−2)−14x+4 .(1 point) $$

Answer 6

Simplify 17d−33+9(2d+6)−11 .(1 point)

Answer 7

Simplify 6(3q−4)+18−12q−7(4q+5) .(1 point)

Answer 8

Simplify −5+34(8h+12)−10h .(1 point)

Answer 9

Simplify −5+3/4(8h+12)−10h .(1 point)

Answer 10

was it right

Answer 11

14(2x + 5) + 14(11x)

Answer 12

-4(7b + 3) + 24b - 8 simplifies to -28b - 12 + 24b - 8.
Combining like terms, we get -4b - 20.
Therefore, the correct response is -4b - 20.

Answer 13

2(3v + 9) - 14 - 6(-5v - 4) simplifies to 6v + 18 - 14 + 30v + 24.
Combining like terms, we get 36v + 28.
Therefore, the correct response is 36v + 28.

Answer 14

-15 + 45(15e - 10) - 10e simplifies to -15 + 675e - 450 - 10e.
Combining like terms, we get 665e - 465.
Therefore, the correct response is 665e - 465.

Answer 15

-15 + (4/5)(15e - 10) - 10e simplifies to -15 + (12/5)e - 8 - 10e.
Combining like terms, we get (12/5)e - 10e - 23.
Therefore, the correct response is (2/5)e - 23.

Answer 16

To simplify 5(7x - 2) - 14x + 4, we distribute the 5 to each term inside the parentheses:

5 * 7x = 35x
5 * -2 = -10

The expression becomes:

35x - 10 - 14x + 4

Combining like terms, we have:

(35x - 14x) + (-10 + 4)

This simplifies to:

21x - 6

Therefore, the correct response is 21x - 6.

Answer 17

To simplify 17d - 33 + 9(2d + 6) - 11, we first distribute the 9 to each term inside the parentheses:

9 * 2d = 18d
9 * 6 = 54

Now the expression becomes:

17d - 33 + 18d + 54 - 11

Next, we combine like terms:

(17d + 18d) + (-33 + 54 - 11)

This simplifies to:

35d + 10 + 10

Finally, combining the constants gives us:

35d + 20

Therefore, the correct response is 35d + 20.

Answer 18

To simplify 6(3q - 4) + 18 - 12q - 7(4q + 5), we first distribute the 6 to each term inside the first set of parentheses:

6 * 3q = 18q
6 * -4 = -24

Now the expression becomes:

18q - 24 + 18 - 12q - 7(4q + 5)

Next, we distribute the -7 to each term inside the second set of parentheses:

-7 * 4q = -28q
-7 * 5 = -35

The expression becomes:

18q - 24 + 18 - 12q - 28q - 35

Combine like terms:

(18q - 12q - 28q) + (-24 + 18 - 35)

This simplifies to:

-22q - 41

Therefore, the correct response is -22q - 41.

Answer 19

To simplify -5 + 34(8h + 12) - 10h, we first distribute the 34 to each term inside the parentheses:

34 * 8h = 272h
34 * 12 = 408

Now the expression becomes:

-5 + 272h + 408 - 10h

Next, we combine like terms:

(272h - 10h) + (-5 + 408)

This simplifies to:

262h + 403

Therefore, the correct response is 262h + 403.