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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

701–720 of 750 matching chapters · Page 36 of 38

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  1. Grade 8 · Chapter 701

    Translate every coordinate equally · practice 81

    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

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  2. Grade 8 · Chapter 702

    Follow decimal place-value scaling · practice 78

    Write 3 × 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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  3. Grade 8 · Chapter 703

    Separate trend from causal claims · practice 80

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [7.75, 6.5, 11.5, 16.5, 15.25], 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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  4. Grade 8 · Chapter 704

    Accumulate circular cross-sections · practice 81

    Find the volume of a cylinder with radius 4 and height 3. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  5. Grade 8 · Chapter 705

    Bracket a principal square root · practice 83

    Enclose √103 after 7 bisections starting from [0, 103]. 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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  6. Grade 8 · Chapter 706

    Distinguish length and area multipliers · practice 83

    Dilate a rectangle with sides 1 and 3 by length factor 1.25. 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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  7. Grade 8 · Chapter 707

    Connect slope and a linear rule · practice 84

    For the line y = -2.5x + (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

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  8. Grade 8 · Chapter 708

    Locate simultaneous solutions · practice 84

    Solve the simultaneous equations y = -0.5x and y = 2.5x + (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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  9. Grade 8 · Chapter 709

    Follow decimal place-value scaling · practice 79

    Write 3.5 × 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. Grade 8 · Chapter 710

    Separate trend from causal claims · practice 81

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [8, 3, 8, 13, 8], 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 711

    Accumulate circular cross-sections · practice 82

    Find the volume of a cylinder with radius 2 and height 9. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  12. Grade 8 · Chapter 712

    Bracket a principal square root · practice 84

    Enclose √79 after 3 bisections starting from [0, 79]. 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 713

    Distinguish length and area multipliers · practice 84

    Dilate a rectangle with sides 2 and 5 by length factor 0.75. 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 714

    Connect slope and a linear rule · practice 85

    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.

    Question · Worked solution · Animated example

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  15. Grade 8 · Chapter 715

    Locate simultaneous solutions · practice 85

    Solve the simultaneous equations y = 3x and y = -1x + (-2). 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 716

    Follow decimal place-value scaling · practice 80

    Write 4 × 10^(-1) 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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  17. Grade 8 · Chapter 717

    Separate trend from causal claims · practice 82

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [8.25, -0.5, 4.5, 9.5, 0.75], 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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  18. Grade 8 · Chapter 718

    Accumulate circular cross-sections · practice 83

    Find the volume of a cylinder with radius 7.5 and height 5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  19. Grade 8 · Chapter 719

    Bracket a principal square root · practice 85

    Enclose √55 after 10 bisections starting from [0, 55]. 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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  20. Grade 8 · Chapter 720

    Distinguish length and area multipliers · practice 85

    Dilate a rectangle with sides 5 and 5.75 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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10,000 Guided Math Practice Chapters | Math With Amar