One Step Equations Flashcards

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.