Highlights of this book
- 491 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 21 chapters can be printed and worked on without the answers in sight.
Who is it for?
For a ninth grader, or any student taking Algebra 1, 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 |
|---|---|---|
| 1Units, Quantities and Modeling | Miles to feet · Hours to seconds · Inches to yards · Miles per hour to feet per second · Gallons to cups | 23 pb. |
| 2Interpreting Expressions and Real Numbers | Terms of an expression · Coefficients · Constant term · Factors of a term · Sum or product | 24 pb. |
| 3Linear Equations and Literal Equations | Two steps with a tape diagram · Variables on both sides · Distribute first · Fractional coefficient · Fractions with a common denominator | 22 pb. |
| 4Linear and Compound Inequalities | One-step graph · Closed circle · Divide by a negative · Distribute and solve · Variables on both sides | 22 pb. |
| 5Functions, Domain, Range and Function Notation | Function from ordered pairs · Repeated input · Mapping diagram · Function from a table · Vertical line test: curve | 23 pb. |
| 6Key Features of Graphs and Rate of Change | Intercepts of a line · Intercepts of a parabola · Features from a graph · Intercepts from a table · Increasing and decreasing | 22 pb. |
| 7Linear Functions: Slope-Intercept, Point-Slope and Standard Form | Slope from two points · A negative slope · A fractional slope · Horizontal and vertical lines · Read slope and intercept | 22 pb. |
| 8Arithmetic and Geometric Sequences | Arithmetic: next terms · Geometric: next terms · Decreasing arithmetic · A ratio less than 1 · Arithmetic, geometric or neither | 22 pb. |
| 9Systems of Linear Equations | Check an ordered pair · Test a second pair · Read a graph · Solve by graphing · Substitute y = 3x | 24 pb. |
| 10Graphing Linear Inequalities and Systems of Inequalities | Test a point · Points on the boundary · Solid or dashed · Graph y > x + 2 · Graph y ≤ −2x + 3 | 22 pb. |
| 11Exponent Rules, Radicals and Rational Exponents | Evaluate powers · Pattern of powers of 10 · Product rule · Quotient rule · Power of a power | 25 pb. |
| 12Exponential Growth and Decay | Evaluate an exponential function · Constant factor · Linear or exponential tables · Identify a and b · Percent rate from the factor | 24 pb. |
| 13Adding, Subtracting and Multiplying Polynomials | Degree and terms · Standard form · Classify polynomials · Add polynomials · Subtract polynomials | 23 pb. |
| 14Factoring Polynomials | GCF of a binomial · GCF with powers · GCF of a trinomial · Factor x² + bx + c · Both numbers negative | 24 pb. |
| 15Graphing Quadratic Functions | Name the coefficients · Opens up or down · Axis of symmetry · Vertex from standard form · Read vertex form | 24 pb. |
| 16Solving Quadratic Equations | Standard form · Perfect-square roots · Square roots, not perfect · Square both sides back · Square roots with a shift | 27 pb. |
| 17Transformations, Absolute Value and Piecewise Functions | Shift down a parabola · Shift up an absolute value · Equation from a shifted parabola · Shift left · Add outside or inside | 24 pb. |
| 18Statistics: Center, Spread and Data Displays | Read a dot plot · Find the mean · Find the median · Quartiles and IQR · Five-number summary | 24 pb. |
| 19Two-Way Tables, Scatter Plots and Correlation | Complete the totals · Joint relative frequency · Marginal relative frequency · Conditional frequency by row · Conditional frequency by column | 24 pb. |
| 20Building Functions and Inverses | Steps to a function · Recursive growth · Recursive to explicit · Order of the steps · Taxi fare function | 23 pb. |
| 21Graphs as Solution Sets, Linear-Quadratic Systems and Exponential Expressions | Is the point a solution? · Points on a parabola · Find the missing coordinate · Intercepts as solutions · Points and a graph | 23 pb. |
Look inside: two sample pages
Pages from the book exactly as they print. Click a page to open it full size.
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 1 worksheets?
491 problems in 21 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 1 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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