About This Chapter
TACHS: Inequality Practice - Chapter Summary
This comprehensive overview of inequalities gives you the practice you need to competently answer questions on the TACHS test. After exploring the lessons, you will be prepared to:
- Define inequality and graph 1- and 2-variable inequalities
- Analyze set notation, compound inequalities and systems of inequalities
- Practice graphing inequalities
- Solve and graph and absolute inequality
- Translate math sentences to inequalities
- Discover how to solve 1- and 2-step linear inequalities
You can tailor the lessons to meet your specific studying needs. Review them often and in any sequence you choose. If you have any questions about lesson topics, submit them to our experts.
TACHS: Inequality Practice Chapter Objectives
The TACHS test is required of students interested in gaining admission to Catholic high schools in the Diocese of Brooklyn/Queens and the Archdiocese of New York. It consists of four sections that evaluate students' comprehension of reading, math, ability and language. For admission in a given school year, you will be required to take the exam in November of the previous year.
Review the lessons in this chapter to brush up on your knowledge of inequalities, which will prepare you for questions in the math section of the test. Self-assessment quizzes in this chapter can reinforce the lessons while giving you access to questions similar to the multiple-choice questions found on the test.
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 Test for Admission into Catholic High Schools (TACHS): Practice & Study Guide course
- TACHS: Vocabulary Practice
- TACHS: Reading Comprehension
- TACHS: Reading Interpretation & Analysis
- TACHS: Technical & Informational Text
- TACHS: Literary Text
- TACHS: Poetry
- TACHS: Language & Spelling
- TACHS: Sentence Structure & Word Usage
- TACHS: Expressing Ideas in Writing
- TACHS: Number Sense & Operations
- TACHS: Basic Arithmetic Operations
- TACHS: Integers
- TACHS: Irrational & Rational Numbers
- TACHS: Estimation in Mathematics
- TACHS: Decimals
- TACHS: Fractions
- TACHS: Percent
- TACHS: Ratios & Proportion
- TACHS: Basic Algebraic Expressions
- TACHS: Algebraic Distribution
- TACHS: Square Roots
- TACHS: Exponents & Exponential Expressions
- TACHS: Scientific Notation
- TACHS: Standard Measurement
- TACHS: Introduction to Geometry
- TACHS: Geometric Measurement
- TACHS: Symmetry, Similarity & Congruence
- TACHS: Properties of Lines
- TACHS: The Coordinate Graph
- TACHS: Transformations in Math
- TACHS: Triangles
- TACHS: Triangle Theorems & Proofs
- TACHS: The Pythagorean Theorem
- TACHS: Graphical Representations of Data
- TACHS: Statistics & Data Analysis
- TACHS: Probability & Permutations
- TACHS: Properties of Functions
- TACHS: Graphing Functions
- TACHS: Factoring
- TACHS: Simplifying & Solving Rational Expressions
- TACHS: Linear Equations
- TACHS: Systems of Linear Equations
- TACHS: Mathematical Patterns
- TACHS: Mathematical Reasoning
- TACHS: Reasoning Abilities
- TACHS Flashcards