MAT 092 (Elementary Algebra, Pima Community College)
Final Exam Practice Problems
In July 2016, I tutored a student in MAT 092.
Their instructor gave targeted guidance for final exam preparations, which I used to create this practice page.
Their final had $\,15\,$ questions, similar to the types indicated below.

Here is the course catalog description for MAT 092:
Introduction to basic algebra. Includes translating written statements into algebraic expressions, linear equations, linear inequalities, graphing, integer exponents, and polynomials. Also includes factoring, simple rational expressions, square roots, quadratic equations, and optional topics.

The problems below are labeled to reflect the area they cover.
I hope this page is helpful to others in MAT 092.
Good luck, everyone!



  1. LINEAR INEQUALITIES:
    Practice all problem types at this link:
    Solving Simple Linear Inequalities with Integer Coefficients
    A worksheet is guaranteed to give you different problem types.
    You will likely be asked to use interval notation to report your answers.
  2. LINEAR EQUATIONS:
    Finding the equation of a line with a given slope and point on line.
    Practice all problem types at this link:
    Finding Equations of Lines
  3. GRAPHING A LINE:
    Practice problem type 3 at this link:
    Graphing Lines
  4. LINEAR EQUATIONS:
    Finding the equation of a line containing a particular point, parallel to a given line.
    Practice problem types 13 and 14 at this link:
    Parallel and Perpendicular Lines
  5. SOLVING A SYSTEM OF LINEAR EQUATIONS:
    Solving Systems Using Substitution
    Solving Systems Using Elimination
  6. GRAPHING A LINEAR INEQUALITY IN TWO VARIABLES:
    Do case 1 on this page (below).
    Get additional practice at Linear Inequalities in Two Variables.
  7. POLYNOMIALS; INTEGER EXPONENTS:
    Multiplying a binomial by a trinomial.
    Do case 2 on this page (below).
  8. POLYNOMIALS, INTEGER EXPONENTS:
    Dividing a polynomial by a monomial.
    Do case 3 on this page (below).
    Get additional practice at Dividing More Than One Term by a Single Term.
  9. FACTORING:
    Factoring a trinomial; coefficient of the square term is 1.
    Factoring Trinomials of the Form $x^2 + bx + c\,$, where $\,c > 0$
    Factoring Trinomials of the Form $x^2 + bx + c\,$, where $\,c < 0$
  10. QUADRATIC EQUATIONS:
    Solve a quadratic equation by factoring.
    Solving Simple Quadratic Equations by Factoring
    Hide the graph if it is distracting to you.
  11. QUADRATIC EQUATIONS:
    Word problem resulting in a quadratic equation.
    Do case 4 on this page (below).
  12. SIMPLE RATIONAL EXPRESSIONS:
    Dividing fractions with variables.
    Multiplying and Dividing Fractions with Variables
    In particular, focus attention on division problems.
  13. SIMPLE RATIONAL EXPRESSIONS:
    Adding and Subtracting Fractions with Variables
  14. WORK PROBLEM:
    A two-person work problem; know individual times; find combined time.
    Work Problems: Guided Practice
    Put in some of your own names, for fun!
    Then, go down to the guided practice.
  15. SQUARE ROOTS:
    Do case 5 on this page (below).
    Get additional practice at Renaming Square Roots.
On this exercise, you will not key in your answer.
However, you can check to see if your answer is correct.
PROBLEM TYPES:
1 2 3 4 5
AVAILABLE MASTERED IN PROGRESS

Want textboxes to type in your answers? Check here: