Highlights of this book
- 422 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 18 chapters can be printed and worked on without the answers in sight.
Who is it for?
For an eighth grader getting ready for 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 |
|---|---|---|
| 1Rational and Irrational Numbers | Terminating decimal · Repeating decimal · Two-digit repeat · Sort the numbers · One repeating digit | 22 pb. |
| 2Properties of Integer Exponents | Expand and evaluate · Write as a power · Product rule · Product with a large base · Quotient rule | 24 pb. |
| 3Square Roots and Cube Roots | Square root of 49 · Square root of 144 · Cube root of 27 · Cube root of 125 · Cube root of a negative | 25 pb. |
| 4Scientific Notation | Thousands · Ten thousands · A very large number · A small number · Small number with two digits | 25 pb. |
| 5Proportional Relationships and Slope | Constant from a table · Equation from a price · Slope from a graph · Negative slope · Graph y = mx | 22 pb. |
| 6Solving Linear Equations | Add then multiply · Negative coefficient · Fraction coefficient · Distribute first · Variables on both sides | 22 pb. |
| 7Systems of Linear Equations | Is it a solution? · Test an ordered pair · Read the intersection · Solve by graphing · Graph two lines | 24 pb. |
| 8Introduction to Functions | Function machine · Mapping diagram · Two arrows from one input · Repeated input in a table · Same output every time | 24 pb. |
| 9Linear Functions and Modeling | Rate from a table · Read the equation · Slope between two points · A negative rate · Linear or nonlinear? | 23 pb. |
| 10Translations, Reflections and Rotations | Translate a point · Reflect a point in the x-axis · Reflect a point in the y-axis · Rotate a point 180 degrees · Rotate a point 90 degrees | 26 pb. |
| 11Congruence, Dilations and Similarity | Translate a point · Reflect over the x-axis · Reflect over the y-axis · Rotate 90 degrees · Rotate 180 degrees | 24 pb. |
| 12Angles, Parallel Lines and Triangles | Find the third angle · Right triangle angles · Isosceles triangle · Angles in a ratio · Exterior angle | 24 pb. |
| 13The Pythagorean Theorem | Hypotenuse of a 6-8 triangle · Hypotenuse of a 5-12 triangle · Find the missing leg · Missing leg of a 7-25 triangle · Legs 9 and 12 | 23 pb. |
| 14Distance in the Coordinate Plane | Horizontal distance · Vertical distance · Draw the legs · Distance from the origin · Two points in Quadrant I | 24 pb. |
| 15Volume of Cylinders, Cones and Spheres | Cylinder with radius and height · Cylinder using 3.14 · Cylinder from the diameter · Cone with radius and height · Cone using 3.14 | 23 pb. |
| 16Scatter Plots and Association | Read points on a scatter plot · Plot a table of data · Describe a positive association · Describe a negative association · Describe no association | 23 pb. |
| 17Lines of Best Fit and Linear Models | Judge the fit · Gap from the line · Slope from two points · Find the y-intercept · Write the equation | 22 pb. |
| 18Two-Way Tables | Read a cell · Read the totals · Percent of all students · Tally into a table · Complete the table | 22 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 Grade 8 worksheets?
422 problems in 18 chapters, on 215 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 Grade 8 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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