1.
What is the inverse operation for multiplication?
Correct Answer
C. Division
Explanation
The inverse operation for multiplication is division. Division is the process of splitting a number into equal parts or groups. It is the opposite of multiplication, where you combine or repeat a number a certain number of times. When you divide a number by another number, you are essentially undoing the multiplication process and finding the original number that was multiplied. Therefore, division is the correct answer as the inverse operation for multiplication.
2.
What is the inverse operation for addition?
Correct Answer
A. Subtraction
Explanation
The inverse operation for addition is subtraction. When two numbers are added together, subtracting one of the numbers from the sum will give you the other number. Subtraction undoes the effect of addition and brings the numbers back to their original values.
3.
-15 = x / 4
Correct Answer
A. -60
Explanation
The equation -15 = x / 4 can be solved by multiplying both sides of the equation by 4 to isolate x. This results in -60 = x. Therefore, the value of x that satisfies the equation is -60.
4.
21 + m = 4
Correct Answer
C. -17
Explanation
To solve the equation 21 + m = 4, we need to isolate the variable m. By subtracting 21 from both sides of the equation, we get m = 4 - 21, which simplifies to m = -17. Therefore, the correct answer is -17.
5.
6n = 30
Correct Answer
A. 5
Explanation
The equation 6n = 30 can be solved by dividing both sides of the equation by 6. This will give us n = 5, which means that the value of n that satisfies the equation is 5. Therefore, the correct answer is 5.
6.
9 = x / 18
Correct Answer
C. 162
Explanation
The equation 9 = x / 18 can be solved by multiplying both sides of the equation by 18 to isolate x. This gives us 162 = x, which means that x is equal to 162.
7.
-5 = -20 + x
Correct Answer
D. 15
Explanation
The equation -5 = -20 + x can be solved by adding 20 to both sides of the equation to isolate the variable x. This gives us 15 = x, which means that x is equal to 15. Therefore, the correct answer is 15.
8.
11x = -286
Correct Answer
D. -26
Explanation
To solve the equation 11x = -286, we need to isolate x. To do this, we divide both sides of the equation by 11. This gives us x = -286/11. Simplifying this further, we find that x is approximately equal to -26. Therefore, the correct answer is -26.
9.
-5 = x / 12
Correct Answer
C. -60
Explanation
The given equation states that -5 is equal to x divided by 12. To solve for x, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 12, which cancels out the denominator. This gives us -60 = x. Therefore, the value of x is -60.
10.
X + 8 = 15
Correct Answer
A. X = 7
Explanation
The equation x + 8 = 15 can be solved by subtracting 8 from both sides of the equation. This gives us x = 7. Therefore, the correct answer is x = 7.
11.
Y - 3 = -5
Correct Answer
D. Y = -2
Explanation
The given equation is y - 3 = -5. To solve for y, we can add 3 to both sides of the equation, which gives us y = -2. Therefore, the correct answer is y = -2.
12.
B + 24 = 19
Correct Answer
D. B = -5
Explanation
The given equation is b + 24 = 19. To find the value of b, we need to isolate it on one side of the equation. By subtracting 24 from both sides, we get b = 19 - 24, which simplifies to b = -5. Therefore, the correct answer is b = -5.
13.
3x = 12
Correct Answer
B. X = 4
Explanation
The given equation is 3x = 12. To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 3, which gives us x = 4. Therefore, the correct answer is x = 4.
14.
-2x = 88
Correct Answer
B. X = -44
Explanation
The given equation is -2x = 88. To solve for x, we need to isolate x by dividing both sides of the equation by -2. This gives us x = -44. Therefore, the correct answer is x = -44.
15.
M + 43 = 100
Correct Answer
A. M = 57
Explanation
The given equation states that m plus 43 equals 100. To solve for m, we need to isolate it on one side of the equation. By subtracting 43 from both sides, we get m equals 57. Therefore, the correct answer is m equals 57.
16.
H - 34 = 17
Correct Answer
B. H = 51
Explanation
The given equation is h - 34 = 17. To solve for h, we need to isolate h on one side of the equation. Adding 34 to both sides, we get h = 51. Therefore, the correct answer is h = 51.
17.
7d = 56
Correct Answer
C. D = 8
Explanation
The equation 7d = 56 can be solved by dividing both sides of the equation by 7. This will give us d = 8 as the solution.
18.
R / 5 = -9
Correct Answer
C. R = -45
Explanation
The given equation states that r divided by 5 equals -9. To solve for r, we can multiply both sides of the equation by 5, which cancels out the division. This gives us r = -45, which satisfies the original equation. Therefore, the correct answer is r = -45.
19.
Y / 12 = -11
Correct Answer
A. Y = -132
Explanation
The given equation states that y divided by 12 equals -11. To solve for y, we can multiply both sides of the equation by 12 to isolate y. This gives us y = -132, which is the correct answer.
20.
-3m = -66
Correct Answer
C. 22
Explanation
In the given equation, -3m = -66, we need to find the value of m. To isolate m, we divide both sides of the equation by -3. This gives us m = -66/-3, which simplifies to m = 22. Therefore, the correct answer is 22.
21.
9 + x = 2
Correct Answer
C. -7
Explanation
The correct answer is -7 because when we subtract 7 from both sides of the equation, we get 9 + x - 7 = 2 - 7, which simplifies to x = -7.
22.
-12 = x / 3
Correct Answer
B. -36
Explanation
The equation -12 = x / 3 can be solved by multiplying both sides of the equation by 3 to isolate x. This gives us -36 = x, which means that x is equal to -36.
23.
-3 + x = -12
Correct Answer
C. -9
Explanation
To solve the equation -3 + x = -12, we need to isolate the variable x. To do this, we can add 3 to both sides of the equation. This will cancel out the -3 on the left side, leaving us with x = -12 + 3, which simplifies to x = -9. Therefore, the correct answer is -9.