1. Solve the equation
X - 6 = 8
A. X = -2
B. X = 2
C. X = -14
D. X = 14
2. Y + 5 = -12
A. Y = -19
B. Y = -17
C. Y = -7
D. Y = 7
3. 1/4a = 3
A. A = 0.75
B. A = 3
C. A = 12
D. A = 16
4. -2c = -18
A. C = -9
B. C = -39
C. C = 9
D. C = 39
5. 2/3x = 6
A. X = 9
B. X = 4
C. X = 18
D. X = 12
6. 6.5 = -3 + n
A. N = 3.5
B. N = 9.5
C. N = 19.5
D. N = -19.5
7. x/4 = 12/6
A. X = 6
B. X = 12
C. X = 8
D. X = 48
A. X = -2
B. Y = -17
D. A = 16
C. C = 9
A. X = 9
B. N = 9.5
A. X = 6
1. To solve the equation X - 6 = 8, we can add 6 to both sides of the equation to isolate X.
X - 6 + 6 = 8 + 6
This simplifies to:
X = 14
Therefore, the answer is D. X = 14.
2. To solve the equation Y + 5 = -12, we can subtract 5 from both sides of the equation to isolate Y.
Y + 5 - 5 = -12 - 5
This simplifies to:
Y = -17
Therefore, the answer is B. Y = -17.
3. To solve the equation 1/4a = 3, we can multiply both sides of the equation by 4 to isolate a.
(1/4a) * 4 = 3 * 4
This simplifies to:
a = 12
Therefore, the answer is C. A = 12.
4. To solve the equation -2c = -18, we can divide both sides of the equation by -2 to isolate c.
(-2c) / -2 = (-18) / -2
This simplifies to:
c = 9
Therefore, the answer is C. C = 9.
5. To solve the equation 2/3x = 6, we can multiply both sides of the equation by 3/2 to isolate x.
(2/3x) * (3/2) = 6 * (3/2)
This simplifies to:
x = 9
Therefore, the answer is A. X = 9.
6. To solve the equation 6.5 = -3 + n, we can subtract -3 from both sides of the equation to isolate n.
6.5 - (-3) = n - (-3)
This simplifies to:
9.5 = n + 3
Next, we can subtract 3 from both sides of the equation:
9.5 - 3 = n + 3 - 3
This simplifies to:
6.5 = n
Therefore, the answer is A. N = 6.5.
7. To solve the equation x/4 = 12/6, we can multiply both sides of the equation by 4 to isolate x.
(x/4) * 4 = (12/6) * 4
This simplifies to:
x = 24/6
Next, we can simplify the right side of the equation:
x = 4
Therefore, the answer is C. X = 4.
To solve these equations, we can isolate the variable on one side of the equation by using inverse operations. Here's how we can solve each equation:
1. X - 6 = 8
To isolate X, we can add 6 to both sides of the equation:
X - 6 + 6 = 8 + 6
X = 14
Therefore, the answer is D. X = 14.
2. Y + 5 = -12
We can isolate Y by subtracting 5 from both sides of the equation:
Y + 5 - 5 = -12 - 5
Y = -17
Therefore, the answer is B. Y = -17.
3. 1/4a = 3
To isolate a, we can multiply both sides of the equation by 4:
(1/4a) * 4 = 3 * 4
a = 12
Therefore, the answer is C. A = 12.
4. -2c = -18
To solve for c, we can divide both sides of the equation by -2:
(-2c) / -2 = (-18) / -2
c = 9
Therefore, the answer is A. C = -9.
5. 2/3x = 6
To solve for x, we can multiply both sides of the equation by 3/2:
(2/3x) * (3/2) = 6 * (3/2)
x = 9
Therefore, the answer is A. X = 9.
6. 6.5 = -3 + n
To isolate n, we can subtract -3 from both sides of the equation:
6.5 - (-3) = n
6.5 + 3 = n
n = 9.5
Therefore, the answer is B. N = 9.5.
7. x/4 = 12/6
To solve for x, we can multiply both sides of the equation by 4:
(x/4) * 4 = (12/6) * 4
x = 8
Therefore, the answer is C. X = 8.