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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

401–420 of 750 matching chapters · Page 21 of 38

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  1. Grade 8 · Chapter 401

    Locate simultaneous solutions · practice 45

    Solve the simultaneous equations y = 2.5x 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

    Open practice chapter
  2. Grade 8 · Chapter 402

    Follow decimal place-value scaling · practice 42

    Write 1 × 10^(-1) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  3. Grade 8 · Chapter 403

    Accumulate circular cross-sections · practice 43

    Find the volume of a cylinder with radius 5 and height 8. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  4. Grade 8 · Chapter 404

    Bracket a principal square root · practice 45

    Enclose √63 after 2 bisections starting from [0, 63]. 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
  5. Grade 8 · Chapter 405

    Distinguish length and area multipliers · practice 45

    Dilate a rectangle with sides 2.5 and 5.25 by length factor 0.75. 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
  6. Grade 8 · Chapter 406

    Connect slope and a linear rule · practice 46

    For the line y = -0.5x + (-1), 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
  7. Grade 8 · Chapter 407

    Locate simultaneous solutions · practice 46

    Solve the simultaneous equations y = -0.5x and y = 1x + (1). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  8. Grade 8 · Chapter 408

    Translate every coordinate equally · practice 44

    Translate the point (1, 1) by the vector (-6, 4). 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
  9. Grade 8 · Chapter 409

    Follow decimal place-value scaling · practice 43

    Write 1.5 × 10^(-6) 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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  10. Grade 8 · Chapter 410

    Separate trend from causal claims · practice 44

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [1.75, -5.5, -1.5, 2.5, -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
  11. Grade 8 · Chapter 411

    Accumulate circular cross-sections · practice 44

    Find the volume of a cylinder with radius 3 and height 4.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  12. Grade 8 · Chapter 412

    Bracket a principal square root · practice 46

    Enclose √39 after 9 bisections starting from [0, 39]. 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
  13. Grade 8 · Chapter 413

    Distinguish length and area multipliers · practice 46

    Dilate a rectangle with sides 5.5 and 6 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
  14. Grade 8 · Chapter 414

    Connect slope and a linear rule · practice 47

    For the line y = -2x + (-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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  15. Grade 8 · Chapter 415

    Locate simultaneous solutions · practice 47

    Solve the simultaneous equations y = 3x and y = -2.5x + (-5). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  16. Grade 8 · Chapter 416

    Translate every coordinate equally · practice 45

    Translate the point (1, 1) by the vector (-5, -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
  17. Grade 8 · Chapter 417

    Follow decimal place-value scaling · practice 44

    Write 2 × 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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  18. Grade 8 · Chapter 418

    Separate trend from causal claims · practice 45

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [2, -9, -5, -1, -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
  19. Grade 8 · Chapter 419

    Accumulate circular cross-sections · practice 45

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

    Question · Worked solution · Animated example

    Open practice chapter
  20. Grade 8 · Chapter 420

    Bracket a principal square root · practice 47

    Enclose √15 after 5 bisections starting from [0, 15]. 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
10,000 Guided Math Practice Chapters | Math With Amar