1.
What is the inverse operation for multiplication?
Correct Answer
C. Division
Explanation
The inverse operation for multiplication is division. When we multiply a number by another number and then divide the result by the same number, we get back to the original number. Division undoes the effect of multiplication, just like subtraction undoes addition and vice versa.
2.
What is the inverse operation for an addition?
Correct Answer
A. Subtraction
Explanation
The inverse operation for addition is subtraction. This is because addition and subtraction are opposite operations. When we add a number to another number, we can undo the addition by subtracting the same number from the sum. For example, if we have 5 + 3 = 8, we can find the original numbers by subtracting 3 from 8, which gives us 8 - 3 = 5.
3.
What is the inverse operation for division?
Correct Answer
C. Multiplication
Explanation
The inverse operation for division is multiplication. When we divide a number by another number, we are essentially finding how many times the divisor can fit into the dividend. To undo this operation and get back to the original number, we need to multiply the quotient by the divisor. Multiplication undoes division, making it the correct answer.
4.
What is the inverse operation for subtraction?
Correct Answer
A. Addition
Explanation
The inverse operation for subtraction is addition. When we subtract a number from another number, we can undo that operation by adding the same number back. This is because addition and subtraction are opposite operations.
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. 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 the variable x. This gives us 162 = x, which means that x is equal to 162.
7.
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 to isolate the variable x. This gives us x = 7, which is the solution to the equation.
8.
Y - 3 = 5
Correct Answer
A. Y = 8
Explanation
The given equation is y - 3 = 5, which means that if we add 3 to both sides of the equation, we can isolate y. This results in y = 8. Therefore, the correct answer is y = 8.
9.
B + 2 = 19
Correct Answer
B. B = 17
Explanation
The given equation b + 2 = 19 can be solved by subtracting 2 from both sides of the equation. This gives us b = 17, which is the correct answer.
10.
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.
11.
2x = 88
Correct Answer
A. X = 44
Explanation
The equation 2x = 88 can be solved by dividing both sides of the equation by 2. This gives us x = 44, which is the correct answer.
12.
M + 43 = 100
Correct Answer
A. M = 57
Explanation
To find the value of m, we need to solve the equation m + 43 = 100. By subtracting 43 from both sides of the equation, we get m = 57. Therefore, the correct answer is m = 57.
13.
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.
14.
7d = 56
Correct Answer
C. D = 8
Explanation
To solve the equation 7d = 56, we need to isolate the variable d. We can do this by dividing both sides of the equation by 7. This gives us d = 8 as the solution.
15.
R / 5 = 10
Correct Answer
B. R = 50
Explanation
The given equation r/5 = 10 can be solved by multiplying both sides of the equation by 5, which gives us r = 50. This means that when r is divided by 5, the result is 10. Therefore, the correct answer is r = 50.
16.
Y / 12 = 11
Correct Answer
D. 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, which cancels out the division. This gives us y = 11 * 12, which simplifies to y = 132. Therefore, the correct answer is y = 132.
17.
15 = x / 4
Correct Answer
B. 60
Explanation
The equation 15 = x / 4 can be solved by multiplying both sides of the equation by 4 to isolate x. This gives us 60 = x. Therefore, the value of x that satisfies the equation is 60.
18.
-3m = -66
Correct Answer
C. 22
19.
40 = 10 + m
Correct Answer
B. 30
Explanation
The given equation is 40 = 10 + m. To solve for m, we need to isolate it on one side of the equation. By subtracting 10 from both sides, we get 30 = m. Therefore, the value of m is 30.
20.
9 + x = 2
Correct Answer
C. -7
Explanation
The correct answer is -7 because when we subtract 9 from both sides of the equation, we get x = -7.
21.
5 = -20 + x
Correct Answer
B. 25
Explanation
The equation 5 = -20 + x can be solved by isolating the variable x. To do this, we can add 20 to both sides of the equation, resulting in x = 25. Therefore, the value of x that satisfies the equation is 25.
22.
12 = x / 3
Correct Answer
D. 36
Explanation
The equation 12 = x / 3 can be solved by multiplying both sides of the equation by 3, which gives us 36 = x. Therefore, the value of x that satisfies the equation is 36.
23.
11x = 66
Correct Answer
A. 6
Explanation
To find the value of x in the equation 11x = 66, we need to divide both sides of the equation by 11. This will give us x = 6, since 66 divided by 11 equals 6. Therefore, the correct answer is 6.
24.
5 = x / 12
Correct Answer
B. 60
Explanation
The equation 5 = x / 12 can be solved by multiplying both sides of the equation by 12, which gives us 60 = x. Therefore, the value of x is 60.
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. To do this, we can add 3 to both sides of the equation, which gives us x = -12 + 3. Simplifying further, we get x = -9. Therefore, the correct answer is -9.