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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.

10,000 questions · 10,000 animated scenarios · 14 study levels

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

61–80 of 750 matching chapters · Page 4 of 38

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  1. Grade 8 · Chapter 61

    Follow decimal place-value scaling · practice 6

    Write 7.5 × 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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  2. Grade 8 · Chapter 62

    Separate trend from causal claims · practice 6

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [7, 2, 4.5, 7, 2], 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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  3. Grade 8 · Chapter 63

    Bracket a principal square root · practice 7

    Enclose √23 after 8 bisections starting from [0, 23]. 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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  4. Grade 8 · Chapter 64

    Distinguish length and area multipliers · practice 7

    Dilate a rectangle with sides 1 and 1.5 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

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  5. Grade 8 · Chapter 65

    Connect slope and a linear rule · practice 8

    For the line y = -2.5x + (1), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  6. Grade 8 · Chapter 66

    Locate simultaneous solutions · practice 8

    Solve the simultaneous equations y = 0.5x and y = -0.5x + (6). 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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  7. Grade 8 · Chapter 67

    Translate every coordinate equally · practice 8

    Translate the point (1, 1) by the vector (-6, -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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  8. Grade 8 · Chapter 68

    Explain zero and negative powers · practice 6

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

    Question · Worked solution · Animated example

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  9. Grade 8 · Chapter 69

    Follow decimal place-value scaling · practice 7

    Write 8 × 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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  10. Grade 8 · Chapter 70

    Separate trend from causal claims · practice 7

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [7.25, -1.5, 1, 3.5, -5.25], 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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  11. Grade 8 · Chapter 71

    Accumulate circular cross-sections · practice 7

    Find the volume of a cylinder with radius 4 and height 9.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  12. Grade 8 · Chapter 72

    Bracket a principal square root · practice 8

    Enclose √118 after 3 bisections starting from [0, 118]. 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 73

    Distinguish length and area multipliers · practice 8

    Dilate a rectangle with sides 2 and 3.5 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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  14. Grade 8 · Chapter 74

    Connect slope and a linear rule · practice 9

    For the line y = -4x + (-2), 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 75

    Locate simultaneous solutions · practice 9

    Solve the simultaneous equations y = -2.5x and y = 3x + (-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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  16. Grade 8 · Chapter 76

    Translate every coordinate equally · practice 9

    Translate the point (1, 1) by the vector (-2, 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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  17. Grade 8 · Chapter 77

    Recover a right-triangle distance · practice 7

    A right triangle has perpendicular legs 3 and 9. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  18. Grade 8 · Chapter 78

    Explain zero and negative powers · practice 7

    Evaluate 3 raised to the integer power 2. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  19. Grade 8 · Chapter 79

    Follow decimal place-value scaling · practice 8

    Write 8.5 × 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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  20. Grade 8 · Chapter 80

    Separate trend from causal claims · practice 8

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [13, 7, 16, 25, 19], 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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10,000 Guided Math Practice Chapters | Math With Amar