One-Step Addition Equations Cheat Sheet (customizable)

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[See also One-Step Subtraction Equations]

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One-Step Addition Equations
(x + a = b)

Equation			Step 1		Solution
x +	=	⇒	x = 1 - 1	⇒	x = 0
x +	=	⇒	x = 4 - 3	⇒	x = 1
x +	=	⇒	x = 5 - 4	⇒	x = 1
x +	=	⇒	x = 6 - 8	⇒	x = -2
x +	=	⇒	x = 9 - 7	⇒	x = 2
x +	=	⇒	x = 10 - 8	⇒	x = 2
x +	=	⇒	x = 10 - 13	⇒	x = -3
x +	=	⇒	x = 14 - 11	⇒	x = 3
x +	=	⇒	x = 17 - 13	⇒	x = 4
x +	=	⇒	x = 14 - 18	⇒	x = -4
x +	=	⇒	x = 20 - 15	⇒	x = 5
x +	=	⇒	x = 22 - 17	⇒	x = 5
x +	=	⇒	x = 18 - 23	⇒	x = -5
x +	=	⇒	x = 26 - 20	⇒	x = 6
x +	=	⇒	x = 27 - 21	⇒	x = 6
x +	=	⇒	x = 22 - 29	⇒	x = -7
x +	=	⇒	x = 31 - 24	⇒	x = 7

Equation			Step 1		Solution
x +	=	⇒	x = 32 - 25	⇒	x = 7
x +	=	⇒	x = 27 - 35	⇒	x = -8
x +	=	⇒	x = 36 - 28	⇒	x = 8
x +	=	⇒	x = 38 - 29	⇒	x = 9
x +	=	⇒	x = 31 - 40	⇒	x = -9
x +	=	⇒	x = 42 - 32	⇒	x = 10
x +	=	⇒	x = 44 - 34	⇒	x = 10
x +	=	⇒	x = 35 - 46	⇒	x = -11
x +	=	⇒	x = 47 - 36	⇒	x = 11
x +	=	⇒	x = 49 - 38	⇒	x = 11
x +	=	⇒	x = 39 - 51	⇒	x = -12
x +	=	⇒	x = 53 - 41	⇒	x = 12
x +	=	⇒	x = 55 - 42	⇒	x = 13
x +	=	⇒	x = 43 - 56	⇒	x = -13
x +	=	⇒	x = 58 - 45	⇒	x = 13
x +	=	⇒	x = 60 - 46	⇒	x = 14
x +	=	⇒	x = 48 - 62	⇒	x = -14

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What are One-Step Addition Equations?

A One-Step Addition Equation is a type of equation where the operation involved is addition, 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 + 5 = 12

In this equation, we need to find the value of x that makes the equation true. The operator in this equation is addition, meaning 5 is being added to 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.
- Adding 5 to x gives 12.
Undo the addition:
- To solve for x, you need to undo the addition by performing the opposite operation, which is subtraction. This step isolates the variable.
- Subtract 5 from both sides of the equation:
  x + 5 - 5 = 12 - 5
  
  Simplifying this gives:
  
  x = 7
Check your solution:
- Substitute x = 7 back into the original equation to verify:
  7 + 5 = 12
  12 = 12
Since both sides are equal, your solution is correct!

Key Concept

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