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Math With Amar · Guided practice

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Each chapter gives you a distinct mathematical scenario: one question to attempt, a hint, a worked solution, and an animated example you can control.

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A collection of concrete mathematics tools for building mathematical understanding

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Grade labels are starting points; school sequences vary. Advanced chapters assume the prerequisites listed on their pages.

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Grade 8 practice chapters

281–300 of 750 matching chapters · Page 15 of 38

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  1. Grade 8 · Chapter 281

    Translate every coordinate equally · practice 31

    Translate the point (1, 1) by the vector (2, 0). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  2. Grade 8 · Chapter 282

    Recover a right-triangle distance · practice 27

    A right triangle has perpendicular legs 9 and 11. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  3. Grade 8 · Chapter 283

    Follow decimal place-value scaling · practice 29

    Write 2.5 × 10^(-5) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  4. Grade 8 · Chapter 284

    Separate trend from causal claims · practice 30

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [3, 4, 7.5, 11, 12], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  5. Grade 8 · Chapter 285

    Accumulate circular cross-sections · practice 30

    Find the volume of a cylinder with radius 3 and height 2. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  6. Grade 8 · Chapter 286

    Bracket a principal square root · practice 31

    Enclose √42 after 6 bisections starting from [0, 42]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  7. Grade 8 · Chapter 287

    Distinguish length and area multipliers · practice 31

    Dilate a rectangle with sides 4.5 and 4.75 by length factor 2.25. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  8. Grade 8 · Chapter 288

    Connect slope and a linear rule · practice 32

    For the line y = -1.5x + (5), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  9. Grade 8 · Chapter 289

    Locate simultaneous solutions · practice 32

    Solve the simultaneous equations y = -0.5x and y = 0.5x + (0). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  10. Grade 8 · Chapter 290

    Translate every coordinate equally · practice 32

    Translate the point (1, 1) by the vector (3, -5). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  11. Grade 8 · Chapter 291

    Recover a right-triangle distance · practice 28

    A right triangle has perpendicular legs 5 and 5. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  12. Grade 8 · Chapter 292

    Follow decimal place-value scaling · practice 30

    Write 3 × 10^(3) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  13. Grade 8 · Chapter 293

    Separate trend from causal claims · practice 31

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [3.25, 0.5, 4, 7.5, 4.75], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  14. Grade 8 · Chapter 294

    Accumulate circular cross-sections · practice 31

    Find the volume of a cylinder with radius 1 and height 8. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  15. Grade 8 · Chapter 295

    Bracket a principal square root · practice 32

    Enclose √18 after 2 bisections starting from [0, 18]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  16. Grade 8 · Chapter 296

    Distinguish length and area multipliers · practice 32

    Dilate a rectangle with sides 1 and 3.75 by length factor 1.5. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  17. Grade 8 · Chapter 297

    Connect slope and a linear rule · practice 33

    For the line y = -3x + (2), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  18. Grade 8 · Chapter 298

    Locate simultaneous solutions · practice 33

    Solve the simultaneous equations y = 3x and y = -3x + (-6). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  19. Grade 8 · Chapter 299

    Translate every coordinate equally · practice 33

    Translate the point (1, 1) by the vector (6, 6). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  20. Grade 8 · Chapter 300

    Recover a right-triangle distance · practice 29

    A right triangle has perpendicular legs 3 and 8. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
10,000 Guided Math Practice Chapters | Math With Amar