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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

721–740 of 750 matching chapters · Page 37 of 38

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  1. Grade 8 · Chapter 721

    Connect slope and a linear rule · practice 86

    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

    Open practice chapter
  2. Grade 8 · Chapter 722

    Locate simultaneous solutions · practice 86

    Solve the simultaneous equations y = -2.5x and y = -0.5x + (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
  3. Grade 8 · Chapter 723

    Follow decimal place-value scaling · practice 81

    Write 4.5 × 10^(-6) 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 724

    Separate trend from causal claims · practice 83

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [5.25, 2.5, 1, -0.5, -3.25], 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 725

    Accumulate circular cross-sections · practice 84

    Find the volume of a cylinder with radius 5.5 and height 1.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  6. Grade 8 · Chapter 726

    Bracket a principal square root · practice 86

    Enclose √31 after 6 bisections starting from [0, 31]. 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 727

    Distinguish length and area multipliers · practice 86

    Dilate a rectangle with sides 1.5 and 4.75 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
  8. Grade 8 · Chapter 728

    Connect slope and a linear rule · practice 87

    For the line y = 3x + (0), 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 729

    Locate simultaneous solutions · practice 87

    Solve the simultaneous equations y = 1x and y = 2.5x + (-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
  10. Grade 8 · Chapter 730

    Follow decimal place-value scaling · practice 82

    Write 5 × 10^(2) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  11. Grade 8 · Chapter 731

    Separate trend from causal claims · practice 84

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [11, 11, 16, 21, 21], 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
  12. Grade 8 · Chapter 732

    Accumulate circular cross-sections · practice 85

    Find the volume of a cylinder with radius 3.5 and height 7.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  13. Grade 8 · Chapter 733

    Bracket a principal square root · practice 87

    Enclose √7 after 2 bisections starting from [0, 7]. 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 734

    Distinguish length and area multipliers · practice 87

    Dilate a rectangle with sides 3.5 and 3.5 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
  15. Grade 8 · Chapter 735

    Connect slope and a linear rule · practice 88

    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
  16. Grade 8 · Chapter 736

    Locate simultaneous solutions · practice 88

    Solve the simultaneous equations y = -2x and y = -0.5x + (-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
  17. Grade 8 · Chapter 737

    Separate trend from causal claims · practice 85

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [11.25, 7.5, 12.5, 17.5, 13.75], 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
  18. Grade 8 · Chapter 738

    Accumulate circular cross-sections · practice 86

    Find the volume of a cylinder with radius 1.5 and height 4. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  19. Grade 8 · Chapter 739

    Bracket a principal square root · practice 88

    Enclose √102 after 8 bisections starting from [0, 102]. 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
  20. Grade 8 · Chapter 740

    Distinguish length and area multipliers · practice 88

    Dilate a rectangle with sides 4.5 and 5.5 by length factor 3. 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
10,000 Guided Math Practice Chapters | Math With Amar