One-Step Subtraction Equations Cheat Sheet (customizable)

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[See also One-Step Addition Equations]

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One-Step Subtraction Equations
(x - a = b)

Equation			Step 1		Solution
x -	=	⇒	x = 1 + 1	⇒	x = 2
x -	=	⇒	x = 4 + 3	⇒	x = 7
x -	=	⇒	x = 5 + 4	⇒	x = 9
x -	=	⇒	x = 6 + 8	⇒	x = 14
x -	=	⇒	x = 9 + 7	⇒	x = 16
x -	=	⇒	x = 10 + 8	⇒	x = 18
x -	=	⇒	x = 10 + 13	⇒	x = 23
x -	=	⇒	x = 14 + 11	⇒	x = 25
x -	=	⇒	x = 17 + 13	⇒	x = 30
x -	=	⇒	x = 14 + 18	⇒	x = 32
x -	=	⇒	x = 20 + 15	⇒	x = 35
x -	=	⇒	x = 22 + 17	⇒	x = 39
x -	=	⇒	x = 18 + 23	⇒	x = 41
x -	=	⇒	x = 26 + 20	⇒	x = 46
x -	=	⇒	x = 27 + 21	⇒	x = 48
x -	=	⇒	x = 22 + 29	⇒	x = 51
x -	=	⇒	x = 31 + 24	⇒	x = 55

Equation			Step 1		Solution
x -	=	⇒	x = 32 + 25	⇒	x = 57
x -	=	⇒	x = 27 + 35	⇒	x = 62
x -	=	⇒	x = 36 + 28	⇒	x = 64
x -	=	⇒	x = 38 + 29	⇒	x = 67
x -	=	⇒	x = 31 + 40	⇒	x = 71
x -	=	⇒	x = 42 + 32	⇒	x = 74
x -	=	⇒	x = 44 + 34	⇒	x = 78
x -	=	⇒	x = 35 + 46	⇒	x = 81
x -	=	⇒	x = 47 + 36	⇒	x = 83
x -	=	⇒	x = 49 + 38	⇒	x = 87
x -	=	⇒	x = 39 + 51	⇒	x = 90
x -	=	⇒	x = 53 + 41	⇒	x = 94
x -	=	⇒	x = 55 + 42	⇒	x = 97
x -	=	⇒	x = 43 + 56	⇒	x = 99
x -	=	⇒	x = 58 + 45	⇒	x = 103
x -	=	⇒	x = 60 + 46	⇒	x = 106
x -	=	⇒	x = 48 + 62	⇒	x = 110

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What are One-Step Subtraction Equations?

A One-Step Subtraction Equation is a type of equation where the operation involved is subtraction, and solving the equation requires only one operation. The goal is to find the value of the variable (usually represented as x).

Example:

Consider the equation:

x - 4 = 9

In this equation, we need to find the value of x that makes the equation true. The operator in this equation is Subtraction, meaning 4 is being subtracted from x, and our job is to solve for x.

Process of Finding the Solution:

Understand the equation:
- You have x, which is the unknown number.
- Subtracting 4 from x gives 9.
Undo the subtraction:
- To solve for x, you need to undo the subtraction by performing the opposite operation, which is addition. This step isolates the variable.
- Add 4 to both sides of the equation:
  x - 4 + 4 = 9 + 4
  
  Simplifying this gives:
  
  x = 13
Check your solution:
- Substitute x = 13 back into the original equation to verify:
  13 - 4 = 9
  9 = 9
Since both sides are equal, your solution is correct!

Key Concept

Although the equation involves subtraction, you solve it by performing the opposite operation (addition) to isolate the variable. It's called a One-Step Equation because only one operation (addition in this case) is required to find the solution.