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Grade 8 practice chapters

1. Grade 8 · Chapter 161

   Recover a right-triangle distance · practice 14

   A right triangle has perpendicular legs 5 and 9. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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2. Grade 8 · Chapter 162

   Explain zero and negative powers · practice 13

   Evaluate 4 raised to the integer power -1. Follow the calculation, then test the quantities in the animated example.

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3. Grade 8 · Chapter 163

   Follow decimal place-value scaling · practice 16

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

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4. Grade 8 · Chapter 164

   Separate trend from causal claims · practice 17

   For inputs [1, 2, 3, 4, 5] and corresponding outputs [4.75, 6.5, 9.5, 12.5, 14.25], 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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5. Grade 8 · Chapter 165

   Accumulate circular cross-sections · practice 17

   Find the volume of a cylinder with radius 6.5 and height 1.5. Follow the calculation, then test the quantities in the animated example.

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6. Grade 8 · Chapter 166

   Bracket a principal square root · practice 18

   Enclose √116 after 5 bisections starting from [0, 116]. 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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7. Grade 8 · Chapter 167

   Distinguish length and area multipliers · practice 18

   Dilate a rectangle with sides 3 and 3.25 by length factor 3. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

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8. Grade 8 · Chapter 168

   Connect slope and a linear rule · practice 19

   For the line y = 3.5x + (-9), 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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9. Grade 8 · Chapter 169

   Locate simultaneous solutions · practice 19

   Solve the simultaneous equations y = -0.5x and y = 0x + (-1). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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10. Grade 8 · Chapter 170

    Translate every coordinate equally · practice 19

    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.

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11. Grade 8 · Chapter 171

    Recover a right-triangle distance · practice 15

    A right triangle has perpendicular legs 3 and 12. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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12. Grade 8 · Chapter 172

    Explain zero and negative powers · practice 14

    Evaluate 2 raised to the integer power 5. Follow the calculation, then test the quantities in the animated example.

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13. Grade 8 · Chapter 173

    Follow decimal place-value scaling · practice 17

    Write 4.5 × 10^(-1) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

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14. Grade 8 · Chapter 174

    Separate trend from causal claims · practice 18

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [5, 3, 6, 9, 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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15. Grade 8 · Chapter 175

    Accumulate circular cross-sections · practice 18

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

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16. Grade 8 · Chapter 176

    Bracket a principal square root · practice 19

    Enclose √92 after 12 bisections starting from [0, 92]. 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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17. Grade 8 · Chapter 177

    Distinguish length and area multipliers · practice 19

    Dilate a rectangle with sides 4 and 5.25 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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18. Grade 8 · Chapter 178

    Connect slope and a linear rule · practice 20

    For the line y = 3x + (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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19. Grade 8 · Chapter 179

    Locate simultaneous solutions · practice 20

    Solve the simultaneous equations y = 3x and y = 3x + (-8). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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20. Grade 8 · Chapter 180

    Translate every coordinate equally · practice 20

    Translate the point (1, 1) by the vector (-6, 0). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

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