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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

541–560 of 750 matching chapters · Page 28 of 38

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  1. Grade 8 · Chapter 541

    Locate simultaneous solutions · practice 63

    Solve the simultaneous equations y = -1x and y = -1.5x + (-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
  2. Grade 8 · Chapter 542

    Translate every coordinate equally · practice 61

    Translate the point (1, 1) by the vector (1, -3). 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
  3. Grade 8 · Chapter 543

    Follow decimal place-value scaling · practice 59

    Write 1.5 × 10^(-4) 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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  4. Grade 8 · Chapter 544

    Separate trend from causal claims · practice 60

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [3.25, -3.5, 1, 5.5, -1.25], 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

    Open practice chapter
  5. Grade 8 · Chapter 545

    Accumulate circular cross-sections · practice 61

    Find the volume of a cylinder with radius 6.5 and height 9. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  6. Grade 8 · Chapter 546

    Bracket a principal square root · practice 63

    Enclose √107 after 3 bisections starting from [0, 107]. 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 547

    Distinguish length and area multipliers · practice 63

    Dilate a rectangle with sides 5 and 5 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
  8. Grade 8 · Chapter 548

    Connect slope and a linear rule · practice 64

    For the line y = -1x + (-10), 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 549

    Locate simultaneous solutions · practice 64

    Solve the simultaneous equations y = 2.5x and y = 1.5x + (-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
  10. Grade 8 · Chapter 550

    Translate every coordinate equally · practice 62

    Translate the point (1, 1) by the vector (5, 3). 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 551

    Follow decimal place-value scaling · practice 60

    Write 2 × 10^(4) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  12. Grade 8 · Chapter 552

    Separate trend from causal claims · practice 61

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [3.5, -7, -2.5, 2, -8.5], 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
  13. Grade 8 · Chapter 553

    Accumulate circular cross-sections · practice 62

    Find the volume of a cylinder with radius 4.5 and height 5.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  14. Grade 8 · Chapter 554

    Bracket a principal square root · practice 64

    Enclose √83 after 10 bisections starting from [0, 83]. 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
  15. Grade 8 · Chapter 555

    Distinguish length and area multipliers · practice 64

    Dilate a rectangle with sides 1.5 and 4 by length factor 2.75. 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
  16. Grade 8 · Chapter 556

    Connect slope and a linear rule · practice 65

    For the line y = -1.5x + (3), 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
  17. Grade 8 · Chapter 557

    Locate simultaneous solutions · practice 65

    Solve the simultaneous equations y = 0x and y = -1.5x + (7). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  18. Grade 8 · Chapter 558

    Translate every coordinate equally · practice 63

    Translate the point (1, 1) by the vector (6, -2). 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
  19. Grade 8 · Chapter 559

    Separate trend from causal claims · practice 62

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [0.5, -4, -6, -8, -12.5], 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
  20. Grade 8 · Chapter 560

    Accumulate circular cross-sections · practice 63

    Find the volume of a cylinder with radius 2.5 and height 2. 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