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Question

Which of the following equations would have the solution of n=22 ?(1 point)
Responses

n+16=38−15
n plus 16 equals 38 minus 15

n−15=7+15
n minus 15 equals 7 plus 15

n+16=18+20
n plus 16 equals 18 plus 20

3n−28=38−14
3 n minus 28 equals 38 minus 14

Answer 1

n+16=18+20
n plus 16 equals 18 plus 20

This equation simplifies to n + 16 = 38. Solving for n gives n = 22.

Answer 2

Which of the following solutions would make the equation 36−22=2x true?(1 point)
Responses

x=12
x equals 12

x=14
x equals 14

x=29
x equals 29

x=7

Answer 3

x = 14

Substitute x = 7 into the equation:
36 - 22 = 2(14)
14 = 28

Therefore, the correct solution is x = 14.

Answer 4

Using substitution, which number from the set {15, 25, 35, 55} makes the equation y+15=40 true?(1 point)
Responses

55
55

15
15

35
35

25

Answer 5

By substituting each number from the set into the equation y + 15 = 40 and solving for y, we can find the solution:

1. For y = 55:
55 + 15 = 40
70 ≠ 40 (Not true)

2. For y = 15:
15 + 15 = 40
30 ≠ 40 (Not true)

3. For y = 35:
35 + 15 = 40
50 ≠ 40 (Not true)

4. For y = 25:
25 + 15 = 40
40 = 40

Therefore, the number 25 from the set {15, 25, 35, 55} makes the equation y + 15 = 40 true.

Answer 6

Using substitution, which number from the set {6, 13, 18, 26} makes the equation 2x+5=31 true?(1 point)
Responses

26
26

18
18

13
13

6

Answer 7

By substituting each number from the set into the equation 2x + 5 = 31 and solving for x, we can find the solution:

1. For x = 26:
2(26) + 5 = 57
57 ≠ 31 (Not true)

2. For x = 18:
2(18) + 5 = 41
41 ≠ 31 (Not true)

3. For x = 13:
2(13) + 5 = 31
31 = 31

4. For x = 6:
2(6) + 5 = 17
17 ≠ 31 (Not true)

Therefore, the number 13 from the set {6, 13, 18, 26} makes the equation 2x + 5 = 31 true.

Answer 8

Priscilla has a number riddle for her friends. She wants them to guess what number she is thinking of. She tells them that her number can be represented by the x in the equation 3x−10=26 . Her friends guess {6, 12, 13, 36} . Using substitution, which guess was the correct number?(1 point)
Responses

6
6

13
13

12
12

36

Answer 9

By substituting each guess into the equation 3x - 10 = 26 and solving for x, we can find the correct guess:

1. For x = 6:
3(6) - 10 = 18 - 10 = 8
8 ≠ 26 (Not true)

2. For x = 13:
3(13) - 10 = 39 - 10 = 29
29 ≠ 26 (Not true)

3. For x = 12:
3(12) - 10 = 36 - 10 = 26
26 = 26

4. For x = 36:
3(36) - 10 = 108 - 10 = 98
98 ≠ 26 (Not true)

Therefore, the correct guess from {6, 12, 13, 36} is 12, as it satisfies the equation 3x - 10 = 26.