Highlights of this book
- 464 problems, about 23 per chapter
- Problems first (Part 1), answer key second (Part 2)
- Final answers in bold and every step written out
Part 1 gathers the problems, chapter by chapter, in the order of the lessons. Inside each chapter, the first problems apply one idea at a time; the last ones mix several skills in word problems taken from everyday situations.
Part 2 is the answer key: every problem is solved step by step, with the final answer in bold. Keeping the solutions apart means the 20 chapters can be printed and worked on without the answers in sight.
Who is it for?
For a student taking Algebra 2, usually in eleventh grade, and for the parents, tutors and homeschooling families who work with them.
The contents, chapter by chapter
For each chapter, a few problem titles and the number of problems.
| Chapter | A few of the problems | Count |
|---|---|---|
| 1Real and Complex Numbers | Classify numbers · True or false · Match points on a number line · Regions of the number diagram · Square roots of negative numbers | 24 pb. |
| 2Quadratic Equations with Complex Solutions | Square root method · Isolate the square · Square of a binomial · Complete the isolation · Compute discriminants | 24 pb. |
| 3Radicals and Rational Exponents | Evaluate nth roots · Real or not real · Radical to exponent form · Exponent to radical form · Evaluate rational exponents | 26 pb. |
| 4Polynomial Functions and Their Graphs | Identify polynomials · Degree and leading coefficient · Evaluate a polynomial · End behavior · Zeros from factored form | 24 pb. |
| 5Polynomial Division and the Remainder Theorem | Divide by a monomial · Missing side of a rectangle · Long division, zero remainder · Long division with a remainder · Cubic by long division | 22 pb. |
| 6Rational Expressions and Equations | Find the excluded values · Simplify monomial quotients · Simplify by factoring · Why the graph has a hole · Opposite factors | 22 pb. |
| 7Rational Functions and Their Graphs | Domain of a rational function · Evaluate a rational function · Table for y = 6/x · Vertical asymptotes · Horizontal asymptotes | 22 pb. |
| 8Transformations of Functions | Describe the shift · Absolute value from a graph · Transform a table · Reflections · Stretch or compress | 22 pb. |
| 9Function Operations, Composition and Inverses | Add and subtract functions · Multiply functions · Divide functions and state the domain · Operations from graphs · Evaluate a composition | 24 pb. |
| 10Exponential Functions and the Number e | Growth or decay? · Population model · Depreciation model · Evaluate powers of e · Annual compounding | 24 pb. |
| 11Logarithms and Logarithmic Functions | Exponential to log form · Log to exponential form · Evaluate simple logs · Evaluate fractions and roots · Special values | 23 pb. |
| 12Solving Exponential and Logarithmic Equations | Same base · Rewrite to a common base · Logarithmic to exponential form · One-step exponential equations · Isolate the power first | 23 pb. |
| 13Sequences and Series | Arithmetic or geometric · Reading a graph · Explicit arithmetic rule · Explicit geometric rule · Terms from a recursive rule | 24 pb. |
| 14Radians and the Unit Circle | Degrees to radians · Radians to degrees · Arc length · Angle from an arc · Locating the quadrant | 23 pb. |
| 15Graphs of Trigonometric Functions | Sine at key angles · Cosine at key angles · Find the amplitude · Find the period · Midline and range | 22 pb. |
| 16Probability: Sample Spaces, Independence and Conditional Probability | Sample space of two actions · Events as subsets · Use the complement · Cards from a deck · Apply the addition rule | 24 pb. |
| 17Data, Normal Distributions and Statistical Inference | Find a mean · Standard deviation by hand · Standard deviation with a root · Shift and scale · Compare two spreads | 22 pb. |
| 18Structure of Expressions and Modeling with Equations | Parts of an exponential model · Terms and coefficients · Meaning of a factor · Write and interpret a cost expression · Fourth-power differences | 22 pb. |
| 19Interpreting and Comparing Functions | Key features from a graph · Domain from context · Discrete domain · Rational model in context · Exponential key features | 22 pb. |
| 20Statistical Experiments, Simulation and Decisions | Expected count of fives · Spinner model · Read a coin simulation · Free-throw shooter · Design a simulation | 25 pb. |
How to use it in four steps
Choose
Pick the chapter of the next quiz or test at school.
Solve
Work the problems on paper without looking at the answer key.
Check
Compare each answer with the worked solution in Part 2.
Redo
A few days later, redo the problems that went wrong: that is where progress happens.
Questions from parents
How many problems are in the Algebra 2 worksheets?
464 problems in 20 chapters, on 243 pages.
Does every problem have an answer?
Yes. Part 2 of the book solves every problem step by step and prints the final answer in bold.
Does it replace the school textbook?
It complements it: use it at home to review, practice or get ahead, whatever textbook the teacher uses.
Do I need the other two books of the grade?
No, each book works on its own. Together, the lessons, worksheets and tests of Algebra 2 cover the three steps: understand, practice, check.
How is the book delivered?
Nothing is shipped: as soon as PayPal confirms the payment, your download page opens, and the link is also sent by email.
Still have a question? Read the general FAQ or write to us from the Mathovore contact page.
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