Solve Equations With Variables On Both Sides

Approved & Edited by ProProfs Editorial Team

The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.

Learn about Our Editorial Process

| By Saliske

Saliske

Community Contributor

Quizzes Created: 3 | Total Attempts: 2,359

Questions: 5 | Attempts: 1,729 | Updated: Mar 21, 2023

Being able to combine like terms in an equation before solving, even when there are variables on both sides.

Questions and Answers

1.

5p = p - 4.8

Explanation
The equation 5p = p - 4.8 can be solved by subtracting p from both sides to isolate the variable. This gives 4p = -4.8. Dividing both sides by 4 gives p = -1.2. Therefore, the correct answer is -1.2.

Rate this question:

2
4 2
2.

8y = 2y + 30

Explanation
In the given equation, 8y = 2y + 30, we need to solve for y. To isolate y, we can subtract 2y from both sides of the equation, which gives us 6y = 30. Then, dividing both sides of the equation by 6, we find that y = 5. Therefore, the answer is 5.

Rate this question:

4
4 3
3.

5k - 10 = 2k + 17

Explanation
The given equation is 5k - 10 = 2k + 17. To solve for k, we can start by simplifying the equation. By combining like terms, we get 3k = 27. To isolate k, we divide both sides of the equation by 3. This gives us k = 9, which is the solution to the equation.

Rate this question:

6
4 1
4.

8a - 6 = 2a + 42

Explanation
To solve the equation, you can start by isolating the variable on one side of the equation. By subtracting 2a from both sides, you get 8a - 2a - 6 = 42. Simplifying this equation gives you 6a - 6 = 42. Next, you can add 6 to both sides to eliminate the -6, resulting in 6a = 48. Finally, dividing both sides by 6 gives you a = 8, which is the correct answer.

Rate this question:

6
4 0
5.

Simplify this expression: 3p - 2p + 7p - 16 + 11p

Explanation
The given expression involves adding and subtracting terms with the variable p. To simplify, we can combine like terms by adding or subtracting the coefficients of p. In this case, we have 3p, 2p, 7p, and 11p. Adding these coefficients gives us a total of 23p. We also have a constant term of -16. Therefore, the simplified expression is 23p - 16.

Rate this question:

4
4 0

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Mar 21, 2023

Quiz Edited by
ProProfs Editorial Team
Feb 01, 2011

Quiz Created by
Saliske

Solve Equations With Variables On Both Sides

5p = p - 4.8

8y = 2y + 30

5k - 10 = 2k + 17

8a - 6 = 2a + 42

Simplify this expression: 3p - 2p + 7p - 16 + 11p