Algebra Quizzes

Order of Operations Quiz

This quiz has exercises with the order you use to work out math expressions: parentheses, exponents, multiplication, division, addition, subtraction.


Linear Equations Quiz

Problems with linear equations.
- Simplify the expressions on each side of the equation, if necessary,
- Get all variable terms on one side and all numbers on the other side,
- Isolate the variable term to find the solution of the equation,
- Check your solution by substituting the value of the variable in the original equation.


Literal Equations Quiz

A literal equation is an equation where variables represent known values. Literal equations allow use to represent things like distance, time, height, pressure as variables in an equation.


Linear Equations Graphs Quiz

These questions ask you to find the correct linear equation for each of the given graphs.


Intercepts of Linear Functions Quiz

Lines Slope Quiz

Problems with slopes and intercepts of linear equations and functions.


Midpoint Formula Quiz

The midpoint of two points, (xa, ya) and (xb, yb) is the point M with the following coordinates:





Domains and Ranges Quiz

The domain of a function is the complete set of possible values of the independent variable.
The range of a function is the complete set of all possible resulting values of the dependent variable, after we have substituted the domain.



Basic Rules of Exponents Quiz

Negative Exponents Quiz

Basic rules of exponents:

When you multiply two terms with the same base, you can add the exponents:
(am)(an) = a(m+n)

When you have an exponent expression that is raised to a power, you can simplify by multiplying the outer power on the inner power:
(am)n = amn


Factoring Formulas Quiz

Quadratic Expressions Factoring Quiz

Polynomials Factoring Quiz

Factoring polynomials is the inverse process of multiplying polynomials. Whenever we factor a polynomial, we should always look for the greatest common factor(GCF) then we determine if the resulting polynomial factor can be factored again.


Polynomials Addition Quiz

Polynomials Multiplication Quiz

These two quizzes test your lnowledge pf operations with polynomials.


Absolute Value Quiz

Steps to solve equations with absolute values:
1: Isolate the absolute value expression,
2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation,
3:Solve for the unknown in both equations.


Inequalities Quiz

The process of solving a linear inequality is the same as solving a linear equation, except when you multiply or divide an inequality by a negative value, you must change the direction of the inequality.


Absolute Value Inequalities Quiz

Steps to solve inequalities with absolute value:

1. Isolate the absolute value expression on the left side of the inequality.
2. If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions. Use the sign of each side of your inequality to decide which of these cases holds.
3. Remove the absolute value operators by setting up a compound inequality. The type of inequality sign in the problem will tell us the way we set up the compound inequality.
4. Solve the inequalities.


Quadratic Formula Quiz

The Quadratic Formula:

For , the values of x which are the solutions of the equation are given by:




Quadratic Inequalities Quiz

1. Solve the inequality as though it were an equation. The real solutions to the equation are boundary points for the solution to the inequality.
2. Test points from each of the regions created by the boundary points.
3. If a test point satisfies the original inequality, then the specific region is part of the solution.
4. Represent the solution in graphic form and in solution set form.


Operation with Radicals Quiz

Functions with Radicals Quiz

Equations with Radicals Quiz

Solve problems with operations with radicals and with equations with radicals.


Linear Systems Quiz

Non-Linear Systems Quiz

Linear and non-linear systems of equations.


Quadratic Vertex Quiz

The vertex of a quadratic equation is the highest or lowest point of the graph of that equation.
If you want to find the vertex of a quadratic equation, you can either use the vertex formula, or complete the square.



Translations and Rotations Quiz

Translations of graphs:
Translate a graph m (m > 0) units to the right, by replacing x with x - m.
Translate a graph m (m > 0) units to the left, by replacing x with x + m.
Translate a graph m (m > 0) units up, by replacing y with y + m.
Translate a graph m (m > 0) units down, by replacing y with y - m.

Reflections of graphs:
Reflect a graph in the y axis by replacing x with -x.
Reflect a graph in the x axis by replacing y with -y.
Reflect a graph in the x = y line by replacing x with y and y with x.



The Remainder Theorem Quiz

The remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial x-r is equal to f(r). In particular, x-r is a divisor of f(x) if and only if f(r)=0.



Addition of Matrices Quiz

Multiplication of Matrices Quiz

Determinants Quiz

Solve problems with operations with matrices and determinants.


Asymptotes Quiz

Quiz that tests your knowledge of asymptotes of functions.


Logarithms Quiz

Logarithms Equations Quiz

Use the properties of logarithms and exponents to answer correctly the questions of these questions.








Circles Equations Quiz

The equation of a circle can be written in the format (x – a)2 + (y – b)2 = r2, with the center being at the point (a, b) and the radius being "r". This form of the equation is helpful, since you can easily find the center and the radius.


Complex Numbers Quiz

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. No real number satisfies this equation, so i is called an imaginary number.



Fractions Decomposition Quiz




Sequences Quiz

Series Quiz

Sequences and series problems.


Other Algebra Resources

Algebra I theory from Khan Academy.