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Math With Amar · Guided practice

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Each chapter gives you a distinct mathematical scenario: one question to attempt, a hint, a worked solution, and an animated example you can control.

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A collection of concrete mathematics tools for building mathematical understanding

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Grade labels are starting points; school sequences vary. Advanced chapters assume the prerequisites listed on their pages.

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Grade 8 practice chapters

461–480 of 750 matching chapters · Page 24 of 38

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  1. Grade 8 · Chapter 461

    Connect slope and a linear rule · practice 53

    For the line y = 0x + (-4), 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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  2. Grade 8 · Chapter 462

    Locate simultaneous solutions · practice 53

    Solve the simultaneous equations y = -3x and y = 1.5x + (-1). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  3. Grade 8 · Chapter 463

    Translate every coordinate equally · practice 51

    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.

    Question · Worked solution · Animated example

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  4. Grade 8 · Chapter 464

    Follow decimal place-value scaling · practice 49

    Write 5.5 × 10^(6) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  5. Grade 8 · Chapter 465

    Separate trend from causal claims · practice 51

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [8, 7, 11, 15, 14], 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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  6. Grade 8 · Chapter 466

    Accumulate circular cross-sections · practice 51

    Find the volume of a cylinder with radius 4 and height 7.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  7. Grade 8 · Chapter 467

    Bracket a principal square root · practice 53

    Enclose √109 after 12 bisections starting from [0, 109]. 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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  8. Grade 8 · Chapter 468

    Distinguish length and area multipliers · practice 53

    Dilate a rectangle with sides 3 and 3.25 by length factor 2.25. 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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  9. Grade 8 · Chapter 469

    Connect slope and a linear rule · practice 54

    For the line y = -0.5x + (9), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  10. Grade 8 · Chapter 470

    Locate simultaneous solutions · practice 54

    Solve the simultaneous equations y = 0.5x and y = -2x + (-7). 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 471

    Translate every coordinate equally · practice 52

    Translate the point (1, 1) by the vector (-3, 3). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  12. Grade 8 · Chapter 472

    Follow decimal place-value scaling · practice 50

    Write 6 × 10^(1) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  13. Grade 8 · Chapter 473

    Separate trend from causal claims · practice 52

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [8.25, 3.5, 7.5, 11.5, 6.75], 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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  14. Grade 8 · Chapter 474

    Accumulate circular cross-sections · practice 52

    Find the volume of a cylinder with radius 2 and height 4. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  15. Grade 8 · Chapter 475

    Bracket a principal square root · practice 54

    Enclose √85 after 8 bisections starting from [0, 85]. 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

    Open practice chapter
  16. Grade 8 · Chapter 476

    Distinguish length and area multipliers · practice 54

    Dilate a rectangle with sides 4 and 5.25 by length factor 1.75. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  17. Grade 8 · Chapter 477

    Connect slope and a linear rule · practice 55

    For the line y = -1.5x + (-7), 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

    Open practice chapter
  18. Grade 8 · Chapter 478

    Locate simultaneous solutions · practice 55

    Solve the simultaneous equations y = -2x and y = 1.5x + (7). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  19. Grade 8 · Chapter 479

    Translate every coordinate equally · practice 53

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

    Question · Worked solution · Animated example

    Open practice chapter
  20. Grade 8 · Chapter 480

    Follow decimal place-value scaling · practice 51

    Write 6.5 × 10^(-4) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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10,000 Guided Math Practice Chapters | Math With Amar