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Grade 8 practice chapters

1. Grade 8 · Chapter 501

   Connect slope and a linear rule · practice 58

   For the line y = -3.5x + (3), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

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2. Grade 8 · Chapter 502

   Locate simultaneous solutions · practice 58

   Solve the simultaneous equations y = -0.5x and y = 1.5x + (2). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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3. Grade 8 · Chapter 503

   Translate every coordinate equally · practice 56

   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.

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4. Grade 8 · Chapter 504

   Follow decimal place-value scaling · practice 54

   Write 8 × 10^(-6) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

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5. Grade 8 · Chapter 505

   Separate trend from causal claims · practice 56

   For inputs [1, 2, 3, 4, 5] and corresponding outputs [-0.25, -4.5, 0, 4.5, 0.25], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.

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6. Grade 8 · Chapter 506

   Accumulate circular cross-sections · practice 56

   Find the volume of a cylinder with radius 1.5 and height 8.5. Follow the calculation, then test the quantities in the animated example.

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7. Grade 8 · Chapter 507

   Bracket a principal square root · practice 58

   Enclose √108 after 2 bisections starting from [0, 108]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.

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8. Grade 8 · Chapter 508

   Distinguish length and area multipliers · practice 58

   Dilate a rectangle with sides 3 and 4.75 by length factor 0.5. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

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9. Grade 8 · Chapter 509

   Connect slope and a linear rule · practice 59

   For the line y = 3.5x + (-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

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10. Grade 8 · Chapter 510

    Locate simultaneous solutions · practice 59

    Solve the simultaneous equations y = 3x and y = -2x + (-4). 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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11. Grade 8 · Chapter 511

    Translate every coordinate equally · practice 57

    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

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12. Grade 8 · Chapter 512

    Follow decimal place-value scaling · practice 55

    Write 8.5 × 10^(2) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

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13. Grade 8 · Chapter 513

    Separate trend from causal claims · practice 57

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [0, -8, -3.5, 1, -7], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.

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14. Grade 8 · Chapter 514

    Accumulate circular cross-sections · practice 57

    Find the volume of a cylinder with radius 7 and height 4.5. Follow the calculation, then test the quantities in the animated example.

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15. Grade 8 · Chapter 515

    Bracket a principal square root · practice 59

    Enclose √84 after 9 bisections starting from [0, 84]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.

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16. Grade 8 · Chapter 516

    Distinguish length and area multipliers · practice 59

    Dilate a rectangle with sides 1.5 and 2.5 by length factor 1.75. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

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17. Grade 8 · Chapter 517

    Connect slope and a linear rule · practice 60

    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.

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18. Grade 8 · Chapter 518

    Locate simultaneous solutions · practice 60

    Solve the simultaneous equations y = -2.5x and y = -1.5x + (4). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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19. Grade 8 · Chapter 519

    Translate every coordinate equally · practice 58

    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

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20. Grade 8 · Chapter 520

    Follow decimal place-value scaling · practice 56

    Write 9 × 10^(-3) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

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