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Grade 8 practice chapters

1. Grade 8 · Chapter 121

   Connect slope and a linear rule · practice 14

   For the line y = 1x + (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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2. Grade 8 · Chapter 122

   Locate simultaneous solutions · practice 14

   Solve the simultaneous equations y = 0x and y = 3x + (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 123

   Translate every coordinate equally · practice 14

   Translate the point (1, 1) by the vector (5, -5). 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 124

   Explain zero and negative powers · practice 10

   Evaluate 3 raised to the integer power 4. Follow the calculation, then test the quantities in the animated example.

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5. Grade 8 · Chapter 125

   Separate trend from causal claims · practice 13

   For inputs [1, 2, 3, 4, 5] and corresponding outputs [1.5, 2, 5, 8, 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.

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6. Grade 8 · Chapter 126

   Accumulate circular cross-sections · practice 13

   Find the volume of a cylinder with radius 7 and height 6.5. Follow the calculation, then test the quantities in the animated example.

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7. Grade 8 · Chapter 127

   Bracket a principal square root · practice 14

   Enclose √93 after 11 bisections starting from [0, 93]. 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 128

   Distinguish length and area multipliers · practice 14

   Dilate a rectangle with sides 2 and 5 by length factor 2.25. 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 129

   Connect slope and a linear rule · practice 15

   For the line y = -0.5x + (1), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

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10. Grade 8 · Chapter 130

    Locate simultaneous solutions · practice 15

    Solve the simultaneous equations y = -3x and y = 0x + (-4). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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11. Grade 8 · Chapter 131

    Translate every coordinate equally · practice 15

    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.

    Question · Worked solution · Animated example

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12. Grade 8 · Chapter 132

    Recover a right-triangle distance · practice 11

    A right triangle has perpendicular legs 3 and 7. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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13. Grade 8 · Chapter 133

    Explain zero and negative powers · practice 11

    Evaluate 4 raised to the integer power -3. Follow the calculation, then test the quantities in the animated example.

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14. Grade 8 · Chapter 134

    Follow decimal place-value scaling · practice 13

    Write 2.5 × 10^(6) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

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15. Grade 8 · Chapter 135

    Separate trend from causal claims · practice 14

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [1.75, -1.5, 1.5, 4.5, 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.

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16. Grade 8 · Chapter 136

    Accumulate circular cross-sections · practice 14

    Find the volume of a cylinder with radius 5 and height 3. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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17. Grade 8 · Chapter 137

    Bracket a principal square root · practice 15

    Enclose √69 after 7 bisections starting from [0, 69]. 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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18. Grade 8 · Chapter 138

    Distinguish length and area multipliers · practice 15

    Dilate a rectangle with sides 1.5 and 4.75 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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19. Grade 8 · Chapter 139

    Connect slope and a linear rule · practice 16

    For the line y = -2x + (-2), 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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20. Grade 8 · Chapter 140

    Locate simultaneous solutions · practice 16

    Solve the simultaneous equations y = -2x and y = 0x + (4). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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