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Grade 8 practice chapters

1. Grade 8 · Chapter 1

   Connect slope and a linear rule · practice 1

   For the line y = 4x + (0), 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 2

   Locate simultaneous solutions · practice 1

   Solve the simultaneous equations y = 3x and y = -1x + (8). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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3. Grade 8 · Chapter 3

   Translate every coordinate equally · practice 1

   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 4

   Recover a right-triangle distance · practice 1

   A right triangle has perpendicular legs 5 and 8. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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5. Grade 8 · Chapter 5

   Accumulate circular cross-sections · practice 1

   Find the volume of a cylinder with radius 3 and height 6.5. Follow the calculation, then test the quantities in the animated example.

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6. Grade 8 · Chapter 6

   Bracket a principal square root · practice 1

   Enclose √48 after 11 bisections starting from [0, 48]. 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 7

   Distinguish length and area multipliers · practice 1

   Dilate a rectangle with sides 1 and 5.25 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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8. Grade 8 · Chapter 8

   Connect slope and a linear rule · practice 2

   For the line y = 2.5x + (-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

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9. Grade 8 · Chapter 9

   Locate simultaneous solutions · practice 2

   Solve the simultaneous equations y = 0x 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

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10. Grade 8 · Chapter 10

    Translate every coordinate equally · practice 2

    Translate the point (1, 1) by the vector (-4, 0). 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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11. Grade 8 · Chapter 11

    Recover a right-triangle distance · practice 2

    A right triangle has perpendicular legs 3 and 11. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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12. Grade 8 · Chapter 12

    Explain zero and negative powers · practice 1

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

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13. Grade 8 · Chapter 13

    Follow decimal place-value scaling · practice 1

    Write 4.5 × 10^(-3) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

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14. Grade 8 · Chapter 14

    Separate trend from causal claims · practice 1

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [3.5, 1, 3.5, 6, 3.5], 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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15. Grade 8 · Chapter 15

    Accumulate circular cross-sections · practice 2

    Find the volume of a cylinder with radius 1 and height 3. Follow the calculation, then test the quantities in the animated example.

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16. Grade 8 · Chapter 16

    Bracket a principal square root · practice 2

    Enclose √24 after 7 bisections starting from [0, 24]. 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 17

    Distinguish length and area multipliers · practice 2

    Dilate a rectangle with sides 2 and 2 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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18. Grade 8 · Chapter 18

    Connect slope and a linear rule · practice 3

    For the line y = 2x + (10), 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 19

    Locate simultaneous solutions · practice 3

    Solve the simultaneous equations y = -3x and y = -0.5x + (-5). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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20. Grade 8 · Chapter 20

    Translate every coordinate equally · practice 3

    Translate the point (1, 1) by the vector (-3, -5). 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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