What Topics to Expect in Algebra 2
Updated: Oct 1
Algebra 2 can feel like climbing a bigger mountain after Algebra 1. The good news is that the path is clear when you know what topics are coming.
Main Areas You’ll See in Algebra 2:
Linear equations and inequalities
Quadratic functions
Polynomials
Rational expressions
Exponential and logarithmic functions
Radicals and complex numbers
Sequences and series
Probability and statistics
Conic sections
Trigonometry basics
With so many new concepts, it’s easy for students to feel overwhelmed. That’s where Precision Math Tutoring LLC comes in—saving the day one equation at a time!
A closer look at the big topics
Quadratic functions
You will find the vertex, the zeros, and the shape of the graph. For example, take y equals x squared minus 6x plus 8. It factors into (x minus 2) times (x minus 4). So the zeros are 2 and 4. The vertex is (3, negative 1).
Polynomials
A polynomial is a sum of terms like 3x squared plus 2x plus 5. You will add, subtract, multiply, and factor them. For example, (x plus 2) times (x plus 3) equals x squared plus 5x plus 6.
Rational expressions
These are fractions that have variables in them. Many of them get simpler when you factor. For example, (x squared minus 9) divided by (x plus 3) becomes x minus 3. This works as long as x is not negative 3.
Exponential and logarithmic functions
Exponents show up in things like money growing in a bank. A log is the opposite of an exponent. If 2 to the power of x equals 16, then x equals 4. Another way to say it is that log base 2 of 16 equals 4.
Radicals and complex numbers
A radical is a root, like the square root of 25, which is 5. Complex numbers use a special number called i. It is defined as the square root of negative 1. So the square root of negative 9 is 3i.
Sequences and series
A sequence is a list of numbers that follows a rule. In 2, 5, 8, 11, you add 3 each time. That is an arithmetic sequence. In 3, 6, 12, 24, you multiply by 2 each time. That is a geometric sequence.
How to get ready for Algebra 2
Review Algebra 1 first, especially solving equations and factoring.
Practice a little every day. Twenty minutes a day works better than two hours once a week.
Ask for help early. Algebra 2 builds on itself, so one gap can lead to more gaps.
Want help with Algebra 2? Book a $25 first lesson here: Book online
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