Algebra Basics |
Topic |
Basic |
Medium |
Advanced |
Algebraic expressions |
|
|
|
Evaluate expressions |
|
|
|
Order of operations |
|
|
|
Commutative and associative properties |
|
|
|
Distributive property |
|
|
|
Combining like terms |
|
|
|
|
Solving Equations |
Solve by adding or subtracting |
|
|
|
Solve by multiplying or dividing |
|
|
|
Solve using multiple steps |
|
|
|
Solve equations (miscellaneous) |
|
|
|
|
Inequalities |
Graph Inequality |
|
|
|
Compound Inequality |
|
|
|
Solve Inequality |
|
|
|
Absolute Value Inequality |
|
|
|
Exponents |
Positive exponents |
|
|
|
Negative exponents |
|
|
|
Product of powers |
|
|
|
Quotient of powers |
|
|
|
Power of power |
|
|
|
Power of product |
|
|
|
Power of quotient |
|
|
|
Simplify the expressions |
|
|
|
Polynomials |
Polynomial addition |
|
|
|
Polynomial subtraction |
|
|
|
Multiply two monomials |
|
|
|
Multiply monomial and polynomial |
|
|
|
Multiply two binomials |
|
|
|
Special Product-1 |
|
|
|
Special Product-2 |
|
|
|
Special Product-3 |
|
|
|
Factorization |
Find the GCF |
|
|
|
Factor out GCF |
|
|
|
Factor a quadratic with leading coeff 1 |
|
|
|
Factor a quadratic with leading coeff (not 1) |
|
|
|
Factor by grouping |
|
|
|
Factor a perfect-square trinomial |
|
|
|
Factor difference of 2 squares |
|
|
|
Factor completely |
|
|
|
Solve by factoring |
|
|
|
|
Radicals |
Add and subtract radicals |
|
|
|
Simplify using distributive property |
|
|
|
Multiply radicals |
|
|
|
Divide radicals |
|
|
|
Solve radical Equations |
|
|
|
Quadratic Functions and Equations |
Solve by completing the square |
|
|
|
Solve by Quadratic formula |
|
|
|
Solve by factorization |
|
|
|
Draw the graph of a quadratic function |
|
|
|
|
Linear Equations |
Slope-intercept form |
|
|
|
Point-slope form |
|
|
|
Standard Form |
|
|
|
Parallel and perpendicular lines-I |
|
|
|
Parallel and perpendicular lines-II |
|
|
|
Horizontal and Vertical lines |
|
|
|
|
System of Linear Equations & Inequalities |
Classify the solutions |
|
|
|
Solve the system of equations |
|
|
|
Graph Inequality |
|
|
|
Graph System of Inequalities |
|
|
|
|
|
|