โ Definition of One-Step Addition Equations
A one-step addition equation is an algebraic equation that can be solved in just one step by using the inverse operation of addition, which is subtraction. The goal is to isolate the variable (usually represented by a letter like $x$ or $y$) on one side of the equation to find its value. For example, $x + 5 = 10$ is a one-step addition equation.
โ Definition of One-Step Subtraction Equations
A one-step subtraction equation is an algebraic equation solvable in a single step using the inverse operation of subtraction, which is addition. Similar to addition equations, the objective is to isolate the variable. For instance, $y - 3 = 7$ is a one-step subtraction equation.
๐ Comparison Table: One-Step Addition vs. Subtraction Equations
| Feature |
One-Step Addition Equations |
One-Step Subtraction Equations |
| Definition |
Equation involving addition that requires one step to solve. |
Equation involving subtraction that requires one step to solve. |
| General Form |
$x + a = b$ |
$x - a = b$ |
| Inverse Operation |
Subtraction |
Addition |
| Solving Step |
Subtract $a$ from both sides: $x = b - a$ |
Add $a$ to both sides: $x = b + a$ |
| Example |
$x + 7 = 12$ Solution: $x = 12 - 7 = 5$ |
$x - 4 = 9$ Solution: $x = 9 + 4 = 13$ |
๐ Key Takeaways
- โ Inverse Operations: To solve these equations, use the inverse operation. Addition equations are solved using subtraction, and subtraction equations are solved using addition.
- ๐ฏ Isolate the Variable: The main goal is always to get the variable alone on one side of the equation. This reveals the variable's value.
- ๐ General Forms: Recognize the forms $x + a = b$ and $x - a = b$ to quickly identify these equation types.
- ๐ก Simple Manipulation: These equations require only one simple manipulation to find the answer, making them fundamental in algebra.