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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

361–380 of 750 matching chapters · Page 19 of 38

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  1. Grade 8 · Chapter 361

    Follow decimal place-value scaling · practice 37

    Write 7 × 10^(2) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  2. Grade 8 · Chapter 362

    Separate trend from causal claims · practice 39

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [9.75, 9.5, 13, 16.5, 16.25], 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

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  3. Grade 8 · Chapter 363

    Accumulate circular cross-sections · practice 38

    Find the volume of a cylinder with radius 7.5 and height 7. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  4. Grade 8 · Chapter 364

    Bracket a principal square root · practice 40

    Enclose √64 after 12 bisections starting from [0, 64]. 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

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  5. Grade 8 · Chapter 365

    Distinguish length and area multipliers · practice 40

    Dilate a rectangle with sides 2.5 and 3.75 by length factor 2.5. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  6. Grade 8 · Chapter 366

    Connect slope and a linear rule · practice 41

    For the line y = -4x + (-4), 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

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  7. Grade 8 · Chapter 367

    Locate simultaneous solutions · practice 41

    Solve the simultaneous equations y = 0.5x and y = -2.5x + (-8). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  8. Grade 8 · Chapter 368

    Translate every coordinate equally · practice 40

    Translate the point (1, 1) by the vector (-4, 6). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  9. Grade 8 · Chapter 369

    Recover a right-triangle distance · practice 37

    A right triangle has perpendicular legs 1 and 9. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  10. Grade 8 · Chapter 370

    Follow decimal place-value scaling · practice 38

    Write 7.5 × 10^(-3) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  11. Grade 8 · Chapter 371

    Separate trend from causal claims · practice 40

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [10, 6, 9.5, 13, 9], 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

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  12. Grade 8 · Chapter 372

    Accumulate circular cross-sections · practice 39

    Find the volume of a cylinder with radius 5.5 and height 3.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  13. Grade 8 · Chapter 373

    Bracket a principal square root · practice 41

    Enclose √40 after 8 bisections starting from [0, 40]. 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
  14. Grade 8 · Chapter 374

    Distinguish length and area multipliers · practice 41

    Dilate a rectangle with sides 3.5 and 5.75 by length factor 2. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  15. Grade 8 · Chapter 375

    Connect slope and a linear rule · practice 42

    For the line y = 4x + (8), 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
  16. Grade 8 · Chapter 376

    Locate simultaneous solutions · practice 42

    Solve the simultaneous equations y = -2x and y = 1x + (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
  17. Grade 8 · Chapter 377

    Translate every coordinate equally · practice 41

    Translate the point (1, 1) by the vector (-3, 1). 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
  18. Grade 8 · Chapter 378

    Recover a right-triangle distance · practice 38

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

    Question · Worked solution · Animated example

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  19. Grade 8 · Chapter 379

    Follow decimal place-value scaling · practice 39

    Write 8 × 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
  20. Grade 8 · Chapter 380

    Separate trend from causal claims · practice 41

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [-1.5, -10, -6, -2, -10.5], 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
10,000 Guided Math Practice Chapters | Math With Amar