## Solve One-Variable Equations and Inequalities

#### Aligned To Common Core Standard:

**Grade 6 Expressions and Equations** - 6.EE.A.4

Tips for Solving One-Variable Equations and Inequalities Inequalities are discussed in the same manner as being equivalent. However, the properties of inequalities differ from those of equalities. There are different problems for inequalities consisting of a different number of variables. For starters, we will learn a few tips to solve inequalities with one variable with the help of number lines. Now, to discuss inequalities, we will assign an open circle for < and >, while we will assign a closed circle for ≤ and ≥. Now, let us consider two examples, and then we will write several steps for each of them. These worksheets and lessons help students learn how to work with a single variable in multiple locations of an expression or equation. This helps them learn to combine like terms quickly.

### Printable Worksheets And Lessons

- Combining Like Terms
Step-by-step Lesson- This is pretty straight forward and the
concept requires very little coaching.

- Guided Lesson -
More combining like terms in a simple manner.

- Guided Lesson Explanation
-This is more focusing on the baby steps of like terms. We will
eventually move to more to complex problems.

- Practice Worksheet
- This will help students get the hang of combining terms in seconds.

- Matching Worksheet
- Match the expression that just had their terms compressed.

- Rewrite by Factoring
Five Pack - Factor them senseless or really to make better sense.

- Combining Like Terms
(Difficult) Five Pack - Pull the like terms out as best you
can.

- Solving For Variables
(Involving Square Roots) Five Pack - Single or two step problems
that include a square root operation. Slightly advanced for the
level.

- Like Terms Five Pack
- We group terms together here.

- Combining Like Terms
(Simple) Five Pack- These expressions are a mouthful.

- Division Principle
Five Pack - Just remember to divide from both sides and you're
good to go.

- Subtraction Principle
Five Pack - Yeah, this is very simple, but necessary.

- Simplify Equations Five Pack - Use exponents as much as you can here.

#### Homework Sheets

Another way to put these is combine like terms and solve for the variable.

- Homework 1 - Simplify by combining like terms.
- Homework 2 - Combine the a terms by adding their coefficients.
- Homework 3 - Reduce each expression to its simplest form.

#### Practice Worksheets

I tried to present all the different question forms here.

- Practice 1 - Solve for the variable.
- Practice 2 - Simplify by combining like terms: -5s + 6 -4s
- Practice 3 - Rewrite this expression in its simplest form: 9z + 3z