Questions and Answers
Which of the following statements are true of solving equations? (Select all that apply)
What is the solution to the equation 5x + 2 = 12?
X=2
What is the solution to the equation 6x - 8 = 16?
X=4
What is the solution to the equation 12x + 1 = 25?
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What is the solution to the equation 2x - 20 = 32?
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What is the solution to the equation 20 - 3x = 8?
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What is the solution to the equation -13 - 3x = -10?
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What is the solution to the equation X/6 + 2 = 8?
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What is the solution to the equation X/3 - 4 = 10?
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What is the solution to the equation X/6 + 7 = 20?
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What is the solution to the equation X/9 + 8 = 8?
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What is the solution to the equation X/6 + 4 = 20?
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What is the solution to the equation 2X/5 + 1 = 7?
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What is the solution to the equation 3X/7 - 2 = 15?
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What is the solution to the equation 5X/8 + 10 = 2?
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What is the solution to the equation 7X/15 - 1 = 22?
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Study Notes
Solving Equations
- Solving equations involves using inverse operations to isolate the variable.
- The addition property of equality is typically applied first in solving equations.
- Order of operations is often executed in reverse while solving equations.
Example Equations and Solutions
- 5x + 2 = 12 leads to x = 2
- 6x - 8 = 16 results in x = 4
- 12x + 1 = 25 gives the solution x = 2
- 2x - 20 = 32 simplifies to x = 26
- 20 - 3x = 8 resolves to x = 4
- -13 - 3x = -10 leads to x = -1
Rational Equations
- x/6 + 2 = 8 results in x = 36
- x/3 - 4 = 10 simplifies to x = 42
- x/6 + 7 = 20 gives x = 78
- x/9 + 8 = 8 results in x = 0
- x/6 + 4 = 20 simplifies down to x = 96
Equations Involving Fractions
- 2X/5 + 1 = 7 leads to x = 15
- 3X/7 - 2 = 15 results in x = 39 2/3
- 5X/8 + 10 = 2 simplifies to x = -12 4/5
- 7X/15 - 1 = 22 results in x = 49 2/7
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge on solving multi-step equations with this set of flashcards. Each card presents an equation to solve and reveals the solution, helping you understand the concept of inverse operations and isolation of variables. Perfect for reinforcing your skills in algebra.