One Step Equations Flashcards

Podcast

Play an AI-generated podcast conversation about this lesson

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?

x = 7 Signup and view all the answers

What is the solution for the equation 10 = -9 + x?

x = 19 Signup and view all the answers

What is the solution for the equation -2x = 4?

x = -2 Signup and view all the answers

What is the solution for the equation 30 = -10x?

x = -3 Signup and view all the answers

What is the solution for the equation 36 = 9x?

x = 4 Signup and view all the answers

What is the solution for the equation 16 = -4x?

x = -4 Signup and view all the answers

What is the solution for the equation -20 = -15x?

x = 4/3 Signup and view all the answers

What is the solution for the equation 10 = -4x?

x = -5/2 Signup and view all the answers

What is the solution for the equation 9x = 20?

x = 20/9 Signup and view all the answers

What is the solution for the equation 11x = 4?

x = 4/11 Signup and view all the answers

What is the solution for the equation -8 = x/11?

x = -88 Signup and view all the answers

What is the solution for the equation -12 = x/-15?

x = 180 Signup and view all the answers

What is the solution for the equation 3 = x/-5?

x = -15 Signup and view all the answers

What is the solution for the equation 6 = -2x?

x = -3 Signup and view all the answers

What is the solution for the equation -11 = 9x?

x = -11/9 Signup and view all the answers

What is the solution for the equation -8 = 3x?

x = -8/3 Signup and view all the answers

What is the solution for the equation -10 = -8x?

x = 5/4 Signup and view all the answers

What is the solution for the equation 10 = -8x?

x = -5/4 Signup and view all the answers

What is the solution for the equation 7 - x = 7?

x = 0 Signup and view all the answers

What is the solution for the equation 4x = -2?

x = -1/2 Signup and view all the answers

What is the solution for the equation -2 = -4 + x?

x = 2 Signup and view all the answers

What is the solution for the equation 4 + x = 9?

x = 5 Signup and view all the answers

What is the solution for the equation x + 2 = 1?

x = -1 Signup and view all the answers

What is the solution for the equation 2 = x + 12?

x = -10 Signup and view all the answers

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.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

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.