Algebra 1 Practice - Volume 3: Solving and Graphing Inequalities

1. **Graphing one-variable inequalities**: Plotting inequalities on a number line to visually represent the set of numbers that satisfy the inequality. It involves shading regions on the number line based on whether the values are greater than, less than, greater than or equal to, or less than or equal to a given number.

2. **One-step inequalities**: Inequalities that can be solved with a single mathematical operation, such as addition, subtraction, multiplication, or division, applied to both sides of the inequality symbol.

3. **Two-step inequalities**: Inequalities that require two mathematical operations to isolate the variable, often involving addition or subtraction followed by multiplication or division.

4. **Multi-step inequalities**: Inequalities that involve multiple mathematical operations to isolate the variable. These operations may include combining like terms, distributing, and solving for the variable step by step.

5. **Compound inequalities**: Inequalities that involve more than one inequality statement connected by the words "and" or "or". They are solved by finding the intersection or union of the solution sets of the individual inequalities.

6. **Absolute value inequalities**: Inequalities containing absolute value expressions. They can be solved by considering two cases: when the expression inside the absolute value is positive and when it's negative, and then combining the solutions. Graphically, they involve plotting two inequalities and finding the region where the solutions overlap.

I have many informative videos for Pre-Algebra, Algebra 1, Algebra 2, Geometry, Pre-Calculus, and Calculus. Please check it out:

/ nickperich

Nick Perich
Norristown Area High School
Norristown Area School District
Norristown, Pa

#math #algebra #algebra2 #maths

[Mary-bzog]

I watched your ap precalc videos a week before the test and got a four, looking forward to the channel as a resource going into ap clac! THANK YOU!!!!