1.
What is the inverse operation for multiplication?
Correct Answer
C. Division
Explanation
The inverse operation for multiplication is division. When we multiply two numbers together, we can use division to undo or reverse the operation and find one of the original numbers. Division involves splitting a number into equal parts or groups, which is the opposite of combining or multiplying numbers together. Therefore, division is the correct answer as it undoes the effect of multiplication.
2.
What is the inverse operation for addition?
Correct Answer
A. Subtraction
Explanation
The inverse operation for addition is subtraction because when two numbers are added together, subtracting one of the numbers from the sum will give the other number. In other words, subtraction undoes the effect of addition.
3.
What is the inverse operation for division?
Correct Answer
C. Multiplication
Explanation
The inverse operation for division is multiplication. This is because division undoes the effect of multiplication. When we divide a number by another number, we are essentially finding out how many times the second number can fit into the first number. Multiplication, on the other hand, is the process of adding a number to itself a certain number of times. So, if we multiply the quotient obtained from division by the divisor, we get back the original dividend, which shows that multiplication is the inverse operation for division.
4.
What is the inverse operation for subtraction?
Correct Answer
A. Addition
Explanation
The inverse operation for subtraction is addition. This is because addition and subtraction are opposite operations. When you subtract a number from another number, you can use addition to reverse the process and get back to the original number. For example, if you subtract 5 from 10, you get 5. To reverse this and get back to 10, you can add 5. Therefore, addition is the inverse operation for subtraction.
5.
-15 = x / 4
Correct Answer
A. -60
Explanation
In the given equation, -15 is equal to x divided by 4. To find the value of x, we can multiply both sides of the equation by 4. This gives us -60 = x. Therefore, the correct answer is -60.
6.
21 + m = 4
Correct Answer
C. -17
Explanation
To find the value of m, we need to isolate it on one side of the equation. Subtracting 21 from both sides gives us m = 4 - 21, which simplifies to m = -17. Therefore, the correct answer is -17.
7.
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 when n is equal to 5, the equation is satisfied. Therefore, the correct answer is 5.
8.
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. This eliminates the denominator and gives us 162 = x. Therefore, the value of x that satisfies the equation is 162.
9.
-5 = -20 + x
Correct Answer
D. 15
Explanation
The correct answer is 15 because when we subtract 20 from -5, we get -25. Therefore, x must be 15 in order to make the equation true.
10.
11x = -286
Correct Answer
D. -26
Explanation
To solve the equation 11x = -286, we need to isolate the variable x. To do this, we divide both sides of the equation by 11. This gives us x = -286/11. Simplifying the division, we get x = -26. Therefore, the correct answer is -26.
11.
-5 = x / 12
Correct Answer
C. -60
Explanation
The equation -5 = x / 12 means that x divided by 12 equals -5. To solve for x, we need to multiply both sides of the equation by 12. This gives us -5 * 12 = x, which simplifies to -60 = x. Therefore, the value of x that satisfies the equation is -60.
12.
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, which is the value of x that satisfies the equation.
13.
Y - 3 = -5
Correct Answer
D. Y = -2
Explanation
The equation y - 3 = -5 can be solved by adding 3 to both sides of the equation. This will give us y = -2.
14.
B + 24 = 19
Correct Answer
D. B = -5
Explanation
The equation given is b + 24 = 19. To solve for 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.
15.
3x = 12
Correct Answer
B. X = 4
Explanation
The correct answer is x = 4 because when we solve the equation 3x = 12, we can divide both sides by 3 to isolate x. This gives us x = 4, which is the value that satisfies the equation and makes it true.
16.
-2x = 88
Correct Answer
B. X = -44
Explanation
To solve the equation -2x = 88, we need to isolate x. We can do this by dividing both sides of the equation by -2. This gives us x = -44. Therefore, the correct answer is x = -44.
17.
M + 43 = 100
Correct Answer
A. M = 57
Explanation
The given equation is m + 43 = 100. To solve for m, we need to isolate it on one side of the equation. By subtracting 43 from both sides of the equation, we get m = 57. Therefore, the correct answer is m = 57.
18.
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 of the equation, we get h = 51. Therefore, the correct answer is h = 51.
19.
7d = 56
Correct Answer
C. D = 8
Explanation
The given equation is 7d = 56. To find the value of d, we need to isolate it on one side of the equation. Dividing both sides of the equation by 7, we get d = 8.
20.
R / 5 = -9
Correct Answer
C. R = -45
Explanation
To solve the equation r / 5 = -9, we need to isolate the variable r. To do this, we can multiply both sides of the equation by 5, which gives us r = -45. This means that the value of r that satisfies the equation is -45.
21.
Y / 12 = -11
Correct Answer
A. Y = -132
Explanation
The given equation is y/12 = -11. To solve for y, we can multiply both sides of the equation by 12 to isolate y. This gives us y = -132.
22.
-3m = -66
Correct Answer
C. 22
Explanation
The correct answer is 22 because when we divide -66 by -3, we get a quotient of 22.
23.
9 + x = 2
Correct Answer
C. -7
Explanation
The correct answer is -7 because if we subtract 9 from both sides of the equation 9 + x = 2, we get x = -7.
24.
-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. Therefore, the correct answer is -36.
25.
-3 + x = -12
Correct Answer
C. -9
Explanation
To find the value of x in the equation -3 + x = -12, we need to isolate x on one side of the equation. We can do this by adding 3 to both sides of the equation. This will cancel out the -3 on the left side and leave us with x = -12 + 3, which simplifies to x = -9. Therefore, the correct answer is -9.