## Single Step Algebra Equation Solving

#### Aligned To Common Core Standard:

**Grade 6 Expressions & Equations** - 6.EE.B.7

What Are Single Step Algebra Equations? A one-step or a single step equation is where the entire equation is solved using one step. Once the equation has been solved, you will have the value of the variable that makes the equation true. In order to solve the one-step equations, we are required to do the inverse (opposite) of whatever operation is being performed on a variable so that we will get the variable all by itself. The inverse operations are: Multiplication, division, addition, and subtraction. The important thing to remember here is, whatever operation takes place on one side, needs to take place on the other side as well. Let’s try understanding it with an example. Solve the equation: K + 18 = 21 | Here, we want to get the value of k by itself on the left-hand side of the equation. Right now, k is being added to it, so we want to inverse and subtract 18 from both sides of the equation. Here is what it will look like: K + 18 – 18 = 21 – 18 (Subtracting 18 on both sides) | K = 3 These worksheets help students better understand the nature and actions needed to solve single step algebra problems.

### Printable Worksheets And Lessons

- Solve For b Step-by-Step Lesson- These are not that difficult if you learn the operations that are inverses of one another.
- Guided Lesson - We pop through these one after another. Three for you to practice with here.

- Guided Lesson Explanation - One step equations are pretty easy as long as you know what operation cancels the other.
- Independent Practice - Ten questions for you to work your magic on.
- Matching Worksheet - Match the equation to the value of the variable in the equation.
- Function Tables Worksheet Pack - Choose one of the variable and solve for the other. A 10-pager.
- Evaluating Formulas Five Pack - You plug in one variable and calculate what comes out, based on that scenario.
- Missing Parts Function Table Worksheet Pack - Varying parts of these function table sets are missing, find them!

#### Homework Sheets

We start with single step sums, move to input/output charts, and end off with plug in problems.

- Homework 1 - When we look at the equation: 47 = 39 + a We ask ourselves how to get 'a' by itself. Right now it is being added to the integer 39. We know that addition and subtraction cancel one another out.
- Homework 2 - The rule is given that a = b + 2 . Now we have to find the value of 'b' as 'a' is given in the table.
- Homework 3 - The rule is given that: p = 8h , so now we have to find the value of 'p' as 'h' is given.

#### Practice Worksheets

I tried to mix up the skills here a bit to see if students could rise to the occasion.

- Practice 1 - Input/Output Equation Solving
- Practice 2 - s = 5(k + 8p) and k = 2 , p = 5 Find s?
- Practice 3 - Equation Outputs