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Grade 8 practice chapters

1. Grade 8 · Chapter 221

   Separate trend from causal claims · practice 23

   For inputs [1, 2, 3, 4, 5] and corresponding outputs [8.5, 4, 7, 10, 5.5], 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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2. Grade 8 · Chapter 222

   Accumulate circular cross-sections · practice 23

   Find the volume of a cylinder with radius 2 and height 8.5. Follow the calculation, then test the quantities in the animated example.

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3. Grade 8 · Chapter 223

   Bracket a principal square root · practice 24

   Enclose √91 after 2 bisections starting from [0, 91]. 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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4. Grade 8 · Chapter 224

   Distinguish length and area multipliers · practice 24

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

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5. Grade 8 · Chapter 225

   Connect slope and a linear rule · practice 25

   For the line y = -3x + (-8), 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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6. Grade 8 · Chapter 226

   Locate simultaneous solutions · practice 25

   Solve the simultaneous equations y = -1x and y = -3x + (-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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7. Grade 8 · Chapter 227

   Translate every coordinate equally · practice 25

   Translate the point (1, 1) by the vector (4, 2). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

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8. Grade 8 · Chapter 228

   Recover a right-triangle distance · practice 21

   A right triangle has perpendicular legs 3 and 10. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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9. Grade 8 · Chapter 229

   Follow decimal place-value scaling · practice 23

   Write 8 × 10^(3) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

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10. Grade 8 · Chapter 230

    Separate trend from causal claims · practice 24

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [8.75, 0.5, 3.5, 6.5, -1.75], 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

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11. Grade 8 · Chapter 231

    Accumulate circular cross-sections · practice 24

    Find the volume of a cylinder with radius 7.5 and height 4.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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12. Grade 8 · Chapter 232

    Bracket a principal square root · practice 25

    Enclose √67 after 9 bisections starting from [0, 67]. 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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13. Grade 8 · Chapter 233

    Distinguish length and area multipliers · practice 25

    Dilate a rectangle with sides 2.5 and 4.5 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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14. Grade 8 · Chapter 234

    Connect slope and a linear rule · practice 26

    For the line y = -3.5x + (5), 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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15. Grade 8 · Chapter 235

    Locate simultaneous solutions · practice 26

    Solve the simultaneous equations y = 0x and y = -3x + (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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16. Grade 8 · Chapter 236

    Translate every coordinate equally · practice 26

    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

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17. Grade 8 · Chapter 237

    Recover a right-triangle distance · practice 22

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

    Question · Worked solution · Animated example

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18. Grade 8 · Chapter 238

    Follow decimal place-value scaling · practice 24

    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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19. Grade 8 · Chapter 239

    Separate trend from causal claims · practice 25

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [-6, -9, -12, -15, -18], 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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20. Grade 8 · Chapter 240

    Accumulate circular cross-sections · practice 25

    Find the volume of a cylinder with radius 5.5 and height 1. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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