Solving Equations With Variables On Both Sides
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Questions and Answers
- 1.
Do you have any questions about the video? Were there any problems that did not make sense?
- 2.
Solve: -7 - 4c = -c + 8
- A.
C = -5
- B.
C = -3
- C.
C = 3
- D.
C = 5
Correct Answer
A. C = -5Explanation
To solve the equation, we need to isolate the variable c. First, we can combine like terms by adding c to both sides of the equation. This gives us -7 - 3c = 8. Next, we can simplify further by adding 7 to both sides, resulting in -3c = 15. To isolate c, we divide both sides of the equation by -3. This gives us c = -5. Therefore, the correct answer is c = -5.Rate this question:
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- 3.
Solve: -7p = -8p + 9
- A.
P = 3/5
- B.
P = -9
- C.
P = 9
- D.
P = -3/5
Correct Answer
C. P = 9Explanation
The equation given is -7p = -8p + 9. To solve for p, we can start by simplifying the equation. By subtracting -8p from both sides of the equation, we get p = 9. Therefore, the correct answer is p = 9.Rate this question:
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- 4.
Solve: 10t + 10 = -8 + 8t
- A.
T = -18
- B.
T = -9
- C.
T = 18
- D.
T = 9
Correct Answer
B. T = -9Explanation
To solve the equation 10t + 10 = -8 + 8t, we need to simplify both sides of the equation. By combining like terms, we get 2t + 10 = -8. Next, we can isolate the variable by subtracting 10 from both sides, resulting in 2t = -18. Finally, we divide both sides by 2 to solve for t, giving us t = -9.Rate this question:
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- 5.
How many solutions are there for the following equation: -4c = 8 - 4c
- A.
No solutions
- B.
One solution
- C.
Infinitely many solutions
Correct Answer
A. No solutionsExplanation
The equation -4c = 8 - 4c can be simplified to 0 = 8, which is not possible. This means that there are no values of c that satisfy the equation, leading to the conclusion that there are no solutions.Rate this question:
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- 6.
How many solutions are there for the following equation: -5q - 9 = 4q
- A.
No solutions
- B.
One solution
- C.
Infinitely many solutions
Correct Answer
B. One solutionExplanation
The given equation is a linear equation. To solve it, we can combine like terms and isolate the variable. By adding 5q to both sides, we get -9 = 9q. Dividing both sides by 9, we find that q = -1. Therefore, there is one solution for the equation, which is q = -1.Rate this question:
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- 7.
Is this an identity: 5 - 5z = -5z + 5
- A.
Yes
- B.
No
Correct Answer
A. YesExplanation
The given equation is an identity because both sides of the equation are equal when simplified. By rearranging the terms, we can see that 5 - 5z is equal to -5z + 5. This holds true for any value of z, making it an identity.Rate this question:
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Current Version
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Mar 21, 2023Quiz Edited by
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Sep 16, 2013Quiz Created by
Simonedeitch
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