Can You Solve These Linear Equations? Trivia Quiz
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Test your skills with this engaging Linear Equations Trivia Quiz! Solve equations to find unknown values and sharpen your algebraic thinking. Perfect for learners looking to improve their problem-solving abilities in mathematics.
Questions and Answers
- 1.
X + 7 = 10
- A.
4
- B.
3
- C.
-3
- D.
17
Correct Answer
B. 3Explanation
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.Rate this question:
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- 2.
3x = -12
- A.
-4
- B.
-15
- C.
4
- D.
9
Correct Answer
A. -4Explanation
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.Rate this question:
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- 3.
3x + x = 12
- A.
4
- B.
-4
- C.
3
- D.
-3
Correct Answer
C. 3Explanation
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.Rate this question:
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- 4.
-2x = -16
- A.
-14
- B.
8
- C.
14
- D.
-8
Correct Answer
B. 8Explanation
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.Rate this question:
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- 5.
5x - 3 = 12
- A.
9/5
- B.
4
- C.
5
- D.
3
Correct Answer
D. 3Explanation
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.Rate this question:
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- 6.
2x + 2 = -14
- A.
6
- B.
-8
- C.
9
- D.
-9
Correct Answer
B. -8Explanation
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.Rate this question:
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- 7.
6 = -x + 1
- A.
-7
- B.
-6
- C.
-5
- D.
-4
Correct Answer
C. -5Explanation
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.Rate this question:
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- 8.
5x + 7 = 3x + 13
- A.
10
- B.
5/2
- C.
5
- D.
3
Correct Answer
D. 3Explanation
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.Rate this question:
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- 9.
10x - 2x + 7 = 2x + 13
- A.
1
- B.
2
- C.
3/5
- D.
-1
Correct Answer
A. 1Explanation
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.Rate this question:
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- 10.
2(x + 1) = 18
- A.
9
- B.
17/2
- C.
2/17
- D.
8
Correct Answer
D. 8Explanation
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.Rate this question:
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- 11.
X - 4 = 10 - x enter only your answer (#) in the blank
Correct Answer
x=7, 7Explanation
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.Rate this question:
- 12.
12x = 24enter only your answer (#) in the blank
Correct Answer
2Explanation
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.Rate this question:
- 13.
-3(x - 2) = 12enter only your answer (#) in the blank
Correct Answer
-2Explanation
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.Rate this question:
- 14.
X - 3 = 3x + 5enter only your answer (#) in the blank
Correct Answer
-4Explanation
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.Rate this question:
- 15.
5x - 4 = 21enter only your answer (#) in the blank
Correct Answer
5Explanation
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.Rate this question:
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Current Version
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Sep 30, 2024Quiz Edited by
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Feb 21, 2010Quiz Created by
Dhack
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