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# 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 Tests Practice

Free ACT Math Test Practice Questions with Answers. 60 Math questions, with answers, similar to the questions in the ACT math test. The answers are at the bottom of the page.
Free SAT Math Test Practice Questions with Answers – sample 1. A set of 25 Math questions, with answers, similar to the questions in the SAT math test. The answers are at the bottom of the page.

## Math Problems and Questions

Solve math problems (1) and the Solutions are provided.
Numerical, Graphical and Analytical Math Problem Solving (1). The problem of maximizing the area of a rectangular garden is examined using three approaches: numerical, graphical and analytical. A discussion to compare the three methods is also presented.
Linear Functions Problems with Solutions A set of problems involving linear functions, along with detailed solutions, are presented. The problems are designed with emphasis on the meaning of the slope and the y intercept.
Math Problems and Solutions on Integers. Problems related to integer numbers are presented along with their solutions.
Mixture Problems With Solutions. Mixture problems and their solutions are presented along with their solutions. Percentages are also used to solve these types of problems.
Polynomial Problems with Solutions. Polynomial problems with detailed solutions.
Write Rational Functions – Problems With Solutions. Write rational functions given their characteristics such as vertical asymptotes, horizontal asymptote, x intercepts, hole.
Rate, Time Distance Problems With Solutions. The relationship between distance, rate (speed) and time **Distance = time * rate** is used to solve uniform motion problems. Detailed solutions to the problems are provided.
Work Rate Problems with Solutions. A set of problems related to work and rate of work is presented with detailed solutions.
Projectile Problems with Solutions. A tutorial on solving projectile problems. Detailed solutions to the problems are provided.
Math Questions With Answers (1) and detailed explanations and solutions of these questions are also provided.
Math Questions With Answers (2) and Solutions and explanations. 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.
Math Questions With Answers (3). Math questions on logarithmic and exponential expressions and equations, with answers.
Math Questions With Answers (4). Math questions on solving equations and inequalities with absolute value. Equations with complex solutions are also included.
Math Questions With Answers (5). Math questions on circles and distance between two points.
Math Questions With Answers (6). Math questions on slopes and equations of lines.
Math Questions With Answers (7). Math questions on how to find the domain of a function.
Math Questions With Answers (8). Math questions on simplifying polynomials.
Math Questions With Answers (9). Math questions on synthetic division of polynomials.
Math Questions With Answers (10). Math questions on degree and multiplicity of zeros of polynomials.
Math Questions With Answers (11). Math questions on factoring polynomials.
Math Questions With Answers (12). Math questions on decomposition into partial fractions.
Math Questions With Answers (13): Quadratic Functions. Math Questions with answers on finding maximum and minimum values, vertex, axis of symmetry, interval of increase and decrease and the range of quadratic functions.
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.

## Sequences

Geometric Sequences Problems with Solutions. Problems and exercises involving geometric sequences, along with detailed solutions and answers, are presented.
Arithmetic Sequences Problems with Solutions. Problems and exercises involving arithmetic sequences, along with detailed solutions and answers.

## 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.