Questions and Answers
What is the solution for the equation x - 4 = 10?
x = 14
What is the solution for the equation 5 = -6 + x?
x = 11
What is the solution for the equation -8 = x - 2?
x = -6
What is the solution for the equation 10 = 3 + x?
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What is the solution for the equation 10 = -9 + x?
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What is the solution for the equation -2x = 4?
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What is the solution for the equation 30 = -10x?
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What is the solution for the equation 36 = 9x?
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What is the solution for the equation 16 = -4x?
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What is the solution for the equation -20 = -15x?
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What is the solution for the equation 10 = -4x?
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What is the solution for the equation 9x = 20?
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What is the solution for the equation 11x = 4?
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What is the solution for the equation -8 = x/11?
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What is the solution for the equation -12 = x/-15?
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What is the solution for the equation 3 = x/-5?
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What is the solution for the equation 6 = -2x?
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What is the solution for the equation -11 = 9x?
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What is the solution for the equation -8 = 3x?
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What is the solution for the equation -10 = -8x?
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What is the solution for the equation 10 = -8x?
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What is the solution for the equation 7 - x = 7?
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What is the solution for the equation 4x = -2?
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What is the solution for the equation -2 = -4 + x?
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What is the solution for the equation 4 + x = 9?
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What is the solution for the equation x + 2 = 1?
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What is the solution for the equation 2 = x + 12?
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Study Notes
One-Step Equations Overview
- One-step equations can be solved by performing the inverse operation to isolate the variable.
Basic Examples
- x - 4 = 10 results in x = 14 by adding 4 to both sides.
- 5 = -6 + x leads to x = 11 by adding 6 to both sides.
Negative Values and Inversion
- -8 = x - 2 gives x = -6 by adding 2 to both sides.
- 10 = 3 + x resolves to x = 7 by subtracting 3.
Adding/Subtracting Constants
- 10 = -9 + x simplifies to x = 19 through addition.
- 7 - x = 7 indicates x = 0 by isolating x.
Multiplication and Division with Variables
- -2x = 4 results in x = -2 by dividing both sides by -2.
- 30 = -10x simplifies to x = -3 through division.
Equations Involving Fractions
- -20 = -15x produces x = 4/3 by dividing by -15.
- 9x = 20 gives x = 20/9 by dividing both sides by 9.
Negative Multipliers
- -11 = 9x resolves to x = -11/9 by dividing by 9.
- -8 = 3x results in x = -8/3 after division.
Special Cases
- -12 = x/-15 indicates x = 180 when multiplied by -15.
- 10 = -8x simplifies to x = -5/4 via division.
Solving with Zero
- 4x = -2 leads to x = -1/2 by dividing both sides by 4.
- 4 + x = 9 determines x = 5 by subtracting 4.
Final Notes
- Isolating x requires careful attention to the signs; each operation performed on one side must also be performed on the other.
- Practice various equations to strengthen understanding and fluency in solving one-step equations.
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Test your skills on solving one-step equations with these flashcards. Each card presents a different equation for you to solve, helping you strengthen your understanding of basic algebra. Perfect for students looking to master this topic for exams or personal study.