In mathematics, an equation is a statement that two expressions are equal. In a one-step equation, there is only one operation that needs to be performed to find the value of the variable.

Solve for x: 3x + 7 = 16

To solve this one-step equation, we need to isolate x. We can do this by subtracting 7 from both sides of the equation:

3x = 16 - 7

3x = 9

Now, we can solve for x by dividing both sides by 3:

x = 3

In a two-step equation, two operations need to be performed to find the value of the variable.

Solve for y: 4y - 8 = 12

First, we can add 8 to both sides of the equation to isolate 4y:

4y = 12 + 8

4y = 20

Then, to solve for y, we divide both sides by 4:

y = 5

Here are some steps to keep in mind when solving one and two-step equations:

- Identify the operations in the equation.
- Perform the inverse operation to isolate the variable.
- If it's a two-step equation, perform the second operation to solve for the variable.
- Check your answer by plugging it back into the original equation.

Practice solving equations with different numbers and variables to improve your skills.

Remember, the key to solving equations is to perform the same operation on both sides of the equation to keep it balanced.

.Study GuideOne & Two Step Equations Worksheet/Answer key

One & Two Step Equations Worksheet/Answer key

One & Two Step Equations Worksheet/Answer key

One & Two Step Equations Worksheet/Answer keyOne Step Equations with Integers Worksheet/Answer keyOne Step Equations with Integers

Number and Operations (NCTM)

Understand meanings of operations and how they relate to one another.

Understand and use the inverse relationships of addition and subtraction, multiplication and division, and squaring and finding square roots to simplify computations and solve problems.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model and solve contextualized problems using various representations, such as graphs, tables, and equations.