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Explanation The correct answer is 3 because by subtracting 7 from both sides of the equation, we can isolate the variable x. x + 7 - 7 = 10 - 7 simplifies to x = 3.
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2.
3x = -12
A.
-4
B.
-15
C.
4
D.
9
Correct Answer
A. -4
Explanation The given equation is 3x = -12. To solve for x, we need to isolate it. By dividing both sides of the equation by 3, we get x = -4. Therefore, the correct answer is -4.
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3.
3x + x = 12
A.
4
B.
-4
C.
3
D.
-3
Correct Answer
C. 3
Explanation To solve the equation 3x + x = 12, we can combine the like terms on the left side of the equation. 3x + x is equal to 4x. So the equation becomes 4x = 12. To isolate x, we can divide both sides of the equation by 4. This gives us x = 3. Therefore, the answer is 3.
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4.
-2x = -16
A.
-14
B.
8
C.
14
D.
-8
Correct Answer
B. 8
Explanation To solve the equation -2x = -16, we need to isolate x. To do this, we can divide both sides of the equation by -2. When we divide -16 by -2, we get x = 8. Therefore, the correct answer is 8.
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5.
5x - 3 = 12
A.
9/5
B.
4
C.
5
D.
3
Correct Answer
D. 3
Explanation To solve the equation 5x - 3 = 12, we need to isolate the variable x. First, we add 3 to both sides of the equation to get 5x = 15. Then, we divide both sides by 5 to solve for x, which gives us x = 3. Therefore, the correct answer is 3.
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6.
2x + 2 = -14
A.
6
B.
-8
C.
9
D.
-9
Correct Answer
B. -8
Explanation To solve the equation 2x + 2 = -14, we need to isolate the variable x. First, we subtract 2 from both sides of the equation, which gives us 2x = -16. Then, we divide both sides by 2 to solve for x. This gives us x = -8. Therefore, the correct answer is -8.
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7.
6 = -x + 1
A.
-7
B.
-6
C.
-5
D.
-4
Correct Answer
C. -5
Explanation The equation 6 = -x + 1 can be solved by isolating the variable x. To do this, we subtract 1 from both sides of the equation, which gives us 5 = -x. To solve for x, we need to multiply both sides of the equation by -1 to get x = -5. Therefore, the correct answer is -5.
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8.
5x + 7 = 3x + 13
A.
10
B.
5/2
C.
5
D.
3
Correct Answer
D. 3
Explanation To find the value of x in the equation 5x + 7 = 3x + 13, we need to isolate the variable x. We can do this by subtracting 3x from both sides of the equation, which gives us 2x + 7 = 13. Then, we subtract 7 from both sides to get 2x = 6. Finally, dividing both sides by 2, we find that x = 3.
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9.
10x - 2x + 7 = 2x + 13
A.
1
B.
2
C.
3/5
D.
-1
Correct Answer
A. 1
Explanation The given equation is a linear equation in one variable. To solve it, we need to simplify and isolate the variable. By combining like terms, we get 8x + 7 = 2x + 13. Next, we can subtract 2x from both sides to get 6x + 7 = 13. Then, by subtracting 7 from both sides, we obtain 6x = 6. Finally, dividing both sides by 6, we find that x = 1. Therefore, the correct answer is 1.
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10.
2(x + 1) = 18
A.
9
B.
17/2
C.
2/17
D.
8
Correct Answer
D. 8
Explanation To solve the equation 2(x + 1) = 18, we first distribute the 2 to both terms inside the parentheses: 2x + 2 = 18. Then, we subtract 2 from both sides to isolate the variable: 2x = 16. Finally, we divide both sides by 2 to solve for x, which gives us x = 8. Therefore, the correct answer is 8.
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11.
X - 4 = 10 - x
enter only your answer (#) in the blank
Correct Answer x=7, 7
Explanation In the given equation, x - 4 = 10 - x, we need to find the value of x. To solve this equation, we can start by combining like terms. Adding x to both sides of the equation gives us 2x - 4 = 10. Next, we can add 4 to both sides to isolate the x term. This results in 2x = 14. Finally, dividing both sides by 2 gives us x = 7. Therefore, the value of x that satisfies the equation is 7.
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12.
12x = 24enter only your answer (#) in the blank
Correct Answer 2
Explanation The equation 12x = 24 can be solved by dividing both sides of the equation by 12. This will eliminate the 12 on the left side, leaving only x. When we divide 24 by 12, the result is 2. Therefore, the value of x that satisfies the equation is 2.
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13.
-3(x - 2) = 12enter only your answer (#) in the blank
Correct Answer -2
Explanation The given equation is -3(x - 2) = 12. To solve this equation, we first distribute the -3 to both terms inside the parentheses, which gives us -3x + 6 = 12. Next, we isolate the variable by subtracting 6 from both sides, resulting in -3x = 6. Finally, we divide both sides by -3 to solve for x, giving us x = -2. Therefore, the correct answer is -2.
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14.
X - 3 = 3x + 5enter only your answer (#) in the blank
Correct Answer -4
Explanation To solve the equation, we need to isolate the variable x. We can do this by moving the terms involving x to one side of the equation and the constant terms to the other side. By adding 3 to both sides of the equation, we get x - 3 + 3 = 3x + 5 + 3, which simplifies to x = 3x + 8. Next, we subtract 3x from both sides to get x - 3x = 3x - 3x + 8, which simplifies to -2x = 8. Finally, we divide both sides by -2 to solve for x, resulting in x = -4.
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15.
5x - 4 = 21enter only your answer (#) in the blank
Correct Answer 5
Explanation The given equation is 5x - 4 = 21. To solve for x, we need to isolate the variable. Adding 4 to both sides of the equation, we get 5x = 25. Dividing both sides by 5, we find that x = 5. Therefore, the correct answer is 5.
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