About This Chapter
HSPT Test: Solving & Graphing Inequalities - Chapter Summary
Find out what inequalities are, how to work with them and why they matter as you review these lessons during your HSPT study sessions. The video lessons cover the following material:
- Inequalities and systems of inequalities
- Graphing one- and two-variable inequalities
- Compound inequalities and set notation
- Absolute value inequalities
- Writing math sentences as inequalities
- Solving one- and two-step linear inequalities
Our videos make review easy and fun. Well written and brightly presented, they give you comprehensive information in small doses so that you are never bored or overwhelmed. Each lesson has a short quiz to help you remember the material, and our instructors are available to answer questions if your need help.
HSPT Test: Solving & Graphing Inequalities Chapter Objectives
The HSPT test is given to eighth-grade students to evaluate their knowledge and skills prior to entering specific Catholic high schools. The test covers reading, verbal, quantitative, mathematics and language skills. The lessons in this chapter are designed to help you prepare for the mathematics section of the test, which contains about 64 questions.
This is a paper-based test with 298 multiple-choice questions in all. You will need to read each question carefully, and choose the correct answer from the options given.
1. What is an Inequality?
Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!
2. How to Graph 1- and 2-Variable Inequalities
So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!
3. Set Notation, Compound Inequalities, and Systems of Inequalities
In this lesson, we'll explore the conditions of compound inequalities and learn how to express them using set notation and interval notation. Test you knowledge afterward with a short quiz.
4. Graphing Inequalities: Practice Problems
If you're already pretty familiar with what inequalities are and just looking for a place to practice your skills, this is the place. This lesson covers topics like 1-variable, 2-variable, compound, and systems of inequalities.
5. How to Solve and Graph an Absolute Value Inequality
Taking two skills and combining them to make a more complicated problem is a classic tactic in mathematics. If you feel confident with absolute values and inequalities, see if you can tackle them with their powers combined here!
6. Solving and Graphing Absolute Value Inequalities: Practice Problems
Solving and graphing absolute value inequalities brings a lot of different skills together in one place. The practice problems in this video will give you a good chance to see more examples of absolute value inequalities but will also test your general algebraic knowledge.
7. Translating Math Sentences to Inequalities
Watch this video lesson to learn how you can easily translate math sentences into inequalities. Once you know how to do this, solving word problems becomes that much easier.
8. Solving One-Step Linear Inequalities
In this video lesson, you will learn how you can solve any kind of linear inequality that only requires one step. Learn when you need to subtract, when you need to add, when you need to multiply, and when you need to divide.
9. Solving Two-Step Linear Inequalities
After watching this video lesson, you will be able to solve any kind of linear inequality problem where you only have to perform two steps. You will know in what order to perform each step and you will know just what kind of operation you need to do.
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Other chapters within the HSPT Test: Practice & Study Guide course
- HSPT Test: Quantitative Reasoning
- HSPT Test: Mathematical Sequences & Series
- HSPT Test: Understanding Real Numbers
- HSPT Test: Operations in Math
- HSPT Test: Understanding Integers
- HSPT Test: Irrational & Rational Numbers
- HSPT Test: Using Estimation in Mathematics
- HSPT Test: Using Decimals
- HSPT Test: Understanding Fractions
- HSPT Test: Using Percents
- HSPT Test: Ratios & Proportion
- HSPT Test: Square Roots
- HSPT Test: Exponents & Exponential Expressions
- HSPT Test: Scientific Notation
- HSPT Test: Standard Measurement
- HSPT Test: Introduction to Geometry
- HSPT Test: Perimeter, Area & Volume
- HSPT Test: Symmetry, Similarity & Congruence
- HSPT Test: Properties of Lines
- HSPT Test: Plotting Graphs
- HSPT Test: Transformations
- HSPT Test: Triangle Basics
- HSPT Test: Triangle Theorems & Proofs
- HSPT Test: The Pythagorean Theorem
- HSPT Test: Graphing Data
- HSPT Test: Data Analysis
- HSPT Test: Probability & Permutations
- HSPT Test: Properties of Functions
- HSPT Test: Graphing Functions
- HSPT Test: Factoring in Algebra
- HSPT Test: Basic Algebraic Expressions
- HSPT Test: Algebraic Distribution
- HSPT Test: Solving Rational Expressions
- HSPT Test: Linear Equations
- HSPT Test: Systems of Linear Equations
- HSPT Test: Mathematical Reasoning
- HSPT Test: Verbal Reasoning
- HSPT Test: Basics of Grammar
- HSPT Test: Spelling & Punctuation
- HSPT Test: Syntax & Sentence Structure
- HSPT Test: Interpreting Readings
- HSPT Test: Reading Comprehension
- HSPT Test: Understanding Meaning in Reading
- HSPT Test Flashcards