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## Single Step Algebra Equation Solving

#### 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  #### 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.

#### Math Skill Quizzes

The input output charts are on just about every recent assessment I have seen.

• Quiz 1 - Solve for the variable h.
• Quiz 2 - What a huge mixture of problems for you to work with.
• Quiz 3 - Rules and equations are everywhere.