About This Chapter
Compass Math: Matrices & Absolute Value - Chapter Summary
If you're a little rusty on the purposes of matrices or how to calculate absolute values, this chapter can provide you with definitions and pertinent examples to help you get a better handle on these algebra topics. If you wish to do well on the ACT Compass Mathematics Test, then use this chapter to brush up on the following:
- Definitions for matrices and absolute values
- Identifying matrix determinants
- Finding solutions for absolute value problems
- Performing transformations on absolute value graphs
- Reflections and dilations on absolute value equation graphs
Use our study guide to recall the mathematical concepts you haven't gone over in a while. Our short videos allow you to get through the lessons in practically no time at all. You can pick and choose which lessons to complete based on your needs, and you can take the lesson quizzes to find out how well you understand the materials.
Compass Math: Matrices & Absolute Value Chapter Objectives
Questions on the ACT Compass Mathematics Test measure how well you comprehend math fundamentals and analyses procedures. Every institution that offers this particular placement test has the option to include as many as five mathematics sections.
This chapter about matrices and absolute values can assist you with getting reacquainted with the topics you will need to know to prove your mastery over college-level algebra. All questions on the test are in a selected-response format, and you are allowed to use calculators and scratch paper.
1. What is a Matrix?
As math gets more and more complicated and there become more and more numbers flying around, it becomes really handy to put all these numbers in a nice organized grid... hello matrices! Learn about what they are and why there are used.
2. How to Take a Determinant of a Matrix
Matrices are incredibly powerful and can help you do all sorts of things, but one of the most basic (and surprisingly helpful) operations you can perform on one is to take its determinant. Learn how to do that here!
3. What is an Absolute Value?
When we're talking and comparing numbers, we often don't care whether its positive or negative, just how big it is. This is often called the magnitude of a number and we find it by taking the absolute value. Learn all about it here!
4. How to Solve an Absolute Value Equation
Once you get familiar with any new operation, the next step in any algebra class is to learn how to solve equations with that operation in them. Absolute values are no different. Solve absolute value equations here!
5. Solving Absolute Value Practice Problems
There are many easy mistakes to make when solving absolute value equations. Learn how to avoid those mistakes here by working on examples of absolute value equations with operations on the inside and the outside of the absolute value.
6. How to Graph an Absolute Value and Do Transformations
Absolute value graphs normally look like the letter 'V', but transformations can change that 'V' in a number of different ways. As well as teaching you how to graph absolute values, this video will focus on a specific group of transformations called translations. Learn all about what that means here!
7. Graphing Absolute Value Equations: Dilations & Reflections
Although a basic absolute value graph isn't complicated, transformations can make them sufficiently confusing! In this lesson, you'll practice different transformations of absolute value graphs.
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Other chapters within the ACT Compass Math Test: Practice & Study Guide course
- Compass Math: Integers
- Compass Math: Decimals
- Compass Math: Fractions
- Compass Math: Exponents
- Compass Math: Roots & Radicals
- Compass Math: Percents
- Compass Math: Ratios, Rates & Proportions
- Compass Math: Median, Mean & Mode
- Compass Math: Algebraic Equations & Expressions
- Compass Math: Linear Equations
- Compass Math: Substituting Values
- Compass Math: Monomials & Polynomials
- Compass Math: Factoring Polynomials
- Compass Math: Inequalities
- Compass Math: Complex Numbers
- Compass Math: Logarithms
- Compass Math: Basic Geometry
- Compass Math: Lines & Angles
- Compass Math: Polygons
- Compass Math: Triangles
- Compass Math: Quadrilaterals
- Compass Math: Circles
- Compass Math: Similar Figures
- Compass Math: Complex Figures
- Compass Math: Constructions
- Compass Math: Area, Circumference & Perimeter
- Compass Math: Mathematical Modeling
- Compass Math: Quadratics
- Compass Math: Quadratic Functions
- Compass Math: Trigonometric Functions
- Compass Math: Rational Functions
- Compass Math: Function Operations
- Compass Math: Trigonometric Identities
- Compass Math: Trigonometric Equations
- Compass Math: Trigonometric Applications
- Compass Math: Trigonometric Graphs
- Compass Math: Graph Symmetry
- Compass Math: Polar Coordinates & Parameterization