Algebra Two-Step Equations Flashcards
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Questions and Answers

What is the solution for the equation $3x - 7 = 8$?

x = 5

What is the solution for the equation $-3x - 7 = 8$?

x = -5

What is the solution for the equation $6x + 2 = -1$?

x = -1/2

What is the solution for the equation $-4x + 6 = 34$?

<p>x = -7</p> Signup and view all the answers

What is the solution for the equation $-4x - 6 = 34$?

<p>x = -10</p> Signup and view all the answers

What is the solution for the equation $4x + 6 = 34$?

<p>x = 7</p> Signup and view all the answers

What is the solution for the equation $4x - 6 = 34$?

<p>x = 10</p> Signup and view all the answers

What is the solution for the equation $-43 = 7 - 5x$?

<p>x = 10</p> Signup and view all the answers

What is the solution for the equation $-43 = 7 + 5x$?

<p>x = -10</p> Signup and view all the answers

What is the solution for the equation $-40 = 8 - 8x$?

<p>x = 6</p> Signup and view all the answers

What is the solution for the equation $-4x - 1 = 15$?

<p>x = -4</p> Signup and view all the answers

What is the solution for the equation $\frac{x}{5} + 3 = 10$?

<p>x = 35</p> Signup and view all the answers

What is the solution for the equation $-\frac{x}{2} - 8 = 3$?

<p>x = -22</p> Signup and view all the answers

What is the solution for the equation $\frac{x}{7} + 14 = 3$?

<p>x = -77</p> Signup and view all the answers

What is the solution for the equation $7 - x = 5$?

<p>x = 2</p> Signup and view all the answers

What is the solution for the equation $-5 - x = 4$?

<p>x = -9</p> Signup and view all the answers

What is the solution for the equation $-3x - 5 = 7$?

<p>x = -4</p> Signup and view all the answers

What is the solution for the equation $6x + 16 = -20$?

<p>x = -6</p> Signup and view all the answers

What is the solution for the equation $\frac{x}{7} - 5 = -6$?

<p>x = -7</p> Signup and view all the answers

What is the solution for the equation $-6x + 2 = 14$?

<p>x = -2</p> Signup and view all the answers

What is the solution for the equation $-3x - 7 = 8$?

<p>x = -5</p> Signup and view all the answers

What is the solution for the equation $9 - x = 14$?

<p>x = -5</p> Signup and view all the answers

What is the solution for the equation $-\frac{x}{3} - 5 = 1$?

<p>x = -18</p> Signup and view all the answers

What is the solution for the equation $-\frac{x}{2} + 12 = -10$?

<p>x = 44</p> Signup and view all the answers

What is the solution for the equation $-\frac{2}{3}x + 4 = 8$?

<p>x = -6</p> Signup and view all the answers

What is the solution for the equation $-\frac{1}{2}x - 3 = -4$?

<p>x = 2</p> Signup and view all the answers

What is the solution for the equation $\frac{4}{5}x + 5 = 17$?

<p>x = 15</p> Signup and view all the answers

What is the solution for the equation $-\frac{4}{5}x + 5 = 17$?

<p>x = -15</p> Signup and view all the answers

Study Notes

Two-Step Equations Overview

  • Two-step equations typically involve isolating the variable through two operations: addition/subtraction followed by multiplication/division.

Key Examples of Equations and Solutions

  • Equation: 3x - 7 = 8
  • Solution:* x = 5
  • Equation: -3x - 7 = 8
  • Solution:* x = -5
  • Equation: 6x + 2 = -1
  • Solution:* x = -1/2
  • Equation: -4x + 6 = 34
  • Solution:* x = -7
  • Equation: -4x - 6 = 34
  • Solution:* x = -10
  • Equation: 4x + 6 = 34
  • Solution:* x = 7
  • Equation: 4x - 6 = 34
  • Solution:* x = 10
  • Equation: -43 = 7 - 5x
  • Solution:* x = 10
  • Equation: -43 = 7 + 5x
  • Solution:* x = -10
  • Equation: -40 = 8 - 8x
  • Solution:* x = 6

Additional Variations of Equations

  • Equation: -4x - 1 = 15
  • Solution:* x = -4
  • Equation: x/5 + 3 = 10
  • Solution:* x = 35
  • Equation: -x/2 - 8 = 3
  • Solution:* x = -22
  • Equation: x/7 + 14 = 3
  • Solution:* x = -77
  • Equation: 7 - x = 5
  • Solution:* x = 2
  • Equation: -5 - x = 4
  • Solution:* x = -9
  • Equation: -3x - 5 = 7
  • Solution:* x = -4
  • Equation: 6x + 16 = -20
  • Solution:* x = -6
  • Equation: x/7 - 5 = -6
  • Solution:* x = -7
  • Equation: -6x + 2 = 14
  • Solution:* x = -2

Final Group of Equations

  • Equation: -3x - 7 = 8
  • Solution:* x = -5
  • Equation: 9 - x = 14
  • Solution:* x = -5
  • Equation: -x/3 - 5 = 1
  • Solution:* x = -18
  • Equation: -x/2 + 12 = -10
  • Solution:* x = 44
  • Equation: -2/3x + 4 = 8
  • Solution:* x = -6
  • Equation: -1/2x - 3 = -4
  • Solution:* x = 2
  • Equation: 4/5x + 5 = 17
  • Solution:* x = 15
  • Equation: -4/5x + 5 = 17
  • Solution:* x = -15

Summary of Techniques

  • Isolate the variable in two steps: first eliminate constants, then coefficient.
  • Solutions can vary significantly based on the sign and coefficients of x.
  • Forms include single-variable equations with positive/negative terms and fractions.

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Description

Test your knowledge of solving two-step equations with this set of flashcards. Each card presents an equation along with its solution, helping you to practice your algebra skills effectively. Perfect for students looking to master this key concept in algebra.

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