Math Problems, Questions and Online Self Tests

Free online math problems, questions and self tests on precalculus topics. Answers and detailed solutions are provided.

Math Problems and Questions

• Solve math problems (1) and the Solutions are provided.



• Math Questions With Answers. A set of multiple choice math questions and their answers are presented. These questions have been designed to test for deep understanding of math concepts.



• Percent Math Problems Several word problems on percentage with detailed solutions are presented.
  
  
• Percent Math Questions Several questions on percentages, with detailed solutions are presented.
  
  
• Solve Slope Problems and the Solutions are provided.



• Solve Line Problems and the Solutions are provided.



• Solve Exponential and Logarithm Problems and the Solutions are provided.



• Solve Distance Problems and the Solutions are provided.



• Questions on Functions and their Solutions are provided.



• Mathematical Induction - Problems With Solutions. Several problems, with detailed solutions, on mathematical induction are presented.




Algebra, Equations and Inequalities

• Algebra Problems and their detailed solutions: You have the choice between a set of questions with their answers or a set of 50 questions in the applet to self test you background on algebra.



• Solve Quadratic Equations With Rational Expressions - Problems and detailed solutions provided. Solve a set of problems related to quadratic and rational equations. You have the choice between a set of 10 problems and 50 questions from an applet.



• Solving Linear Equations - Questions. Multiple choice questions on solving linear equations. Answers included.



• Equations And Inequalities with Absolute Value - Problems and their answers: A set of 10 multiple choice problems related to equations and inequalities with absolute value and their answers problems are presented. The same problems can also be solved as a self test using an applet.



• Polynomial and Rational Inequalities, questions and their answers: Questions on solving Polynomial and Rational Inequalities are presented. These may be used as a self test.
  
  

Functions, Domain, Composition and Inverse

• Find the Domain of a Function - Problems with detailed solutions: A set of 10 problems, on finding the domain of a function, with their solutions are presented.



• Composition of Functions Questions with adetailed solutions: Questions, with their answers, on compositions of functions are presented. These questions may be used as a self test.



• Find Inverse Functions - Questions and their detailed solutions. Questions on how to find the inverse of linear, quadratic with restricted domain, logarithmic, exponential and rational, together with detailed solutions, are presented.



• Questions on one to one Functions. Several questions with detailed solutions as well as exercises with answers on how to prove that a given function is a one to one function.




Logarithms

• Solve Exponential and Logarithmic Equations, questions with answers: Questions on solving exponential and logarithmic equations and ,indirectly, on all properties of exponential and logarithmic functions are presented. These questions may be used as a self test.

Graphs of Functions

• Graphs of Functions - Questions and their answers: Given the equation of a function, identify a possible graph (among 4) corresponding to the given function. Algebraic functions including linear, square root, quadratic and absolute value functions are included.



• Graphs of Polynomial Functions - Questions with answers: Questions and their answers on graphs of polynomial functions are presented. These questions may be used as a self self test.



• Graphs of Rational Functions - Questions with answers: Questions, and their answers, on identifying graphs of rational functions are presented.



• Graphs of Logarithmic and Exponential Functions - Questions with answers: Questions, and their answers, on the graphs of Logarithmic and Exponential functions are presented. These may be used as a self test.

Trigonometry

• Solve Trigonometric Equations - Problems with answers: 10 problems, with their answers, on solving trigonometric equations are presented here and more in the applet below.



• Graphs Trigonometric Functions - Questions with answers: A set of questions, with their answers, on identifying the graphs of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented. These may be used as a self test on the graphs of trigonometric functions.



• Find Values Of Trigonometric Functions - Questions with answers. A set of questions, with their answers, on finding exact values of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented.

Unit Converion

• Convert Units of Lengths. A set of questions on how to convert from one unit of length to another: meters, kilometers, millimeters, centimeters, decimeters, feet, inches, yards, miles, nanometers and micrometers. Both metric and imperial units are used.



• Convert Units of Velocity. Questions, with answers, on how to convert from one unit of velocity (speed) to another. For the lengths, both metric and imperial units are used.

Complex Numbers

• Questions on Complex Numbers with answers. The questions are about adding, multiplying and dividing complex as well as finding the complex conjugate.