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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

101–120 of 750 matching chapters · Page 6 of 38

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  1. Grade 8 · Chapter 101

    Distinguish length and area multipliers · practice 11

    Dilate a rectangle with sides 2.5 and 5.25 by length factor 1.5. 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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  2. Grade 8 · Chapter 102

    Connect slope and a linear rule · practice 12

    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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  3. Grade 8 · Chapter 103

    Locate simultaneous solutions · practice 12

    Solve the simultaneous equations y = 2x and y = -0.5x + (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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  4. Grade 8 · Chapter 104

    Translate every coordinate equally · practice 12

    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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  5. Grade 8 · Chapter 105

    Recover a right-triangle distance · practice 9

    A right triangle has perpendicular legs 5 and 11. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  6. Grade 8 · Chapter 106

    Explain zero and negative powers · practice 9

    Evaluate 4 raised to the integer power 5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  7. Grade 8 · Chapter 107

    Follow decimal place-value scaling · practice 11

    Write 1 × 10^(-5) 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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  8. Grade 8 · Chapter 108

    Separate trend from causal claims · practice 11

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [-1.25, -9.5, -6.5, -3.5, -11.75], 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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  9. Grade 8 · Chapter 109

    Accumulate circular cross-sections · practice 11

    Find the volume of a cylinder with radius 3.5 and height 4.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  10. Grade 8 · Chapter 110

    Bracket a principal square root · practice 12

    Enclose √22 after 9 bisections starting from [0, 22]. 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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  11. Grade 8 · Chapter 111

    Distinguish length and area multipliers · practice 12

    Dilate a rectangle with sides 5.5 and 6 by length factor 3. 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
  12. Grade 8 · Chapter 112

    Connect slope and a linear rule · practice 13

    For the line y = 1.5x + (-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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  13. Grade 8 · Chapter 113

    Locate simultaneous solutions · practice 13

    Solve the simultaneous equations y = -1x and y = 3x + (-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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  14. Grade 8 · Chapter 114

    Translate every coordinate equally · practice 13

    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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  15. Grade 8 · Chapter 115

    Recover a right-triangle distance · practice 10

    A right triangle has perpendicular legs 1 and 5. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  16. Grade 8 · Chapter 116

    Follow decimal place-value scaling · practice 12

    Write 1.5 × 10^(3) 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 117

    Separate trend from causal claims · practice 12

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [-1, -13, -10, -7, -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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  18. Grade 8 · Chapter 118

    Accumulate circular cross-sections · practice 12

    Find the volume of a cylinder with radius 1.5 and height 1. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  19. Grade 8 · Chapter 119

    Bracket a principal square root · practice 13

    Enclose √117 after 4 bisections starting from [0, 117]. 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 120

    Distinguish length and area multipliers · practice 13

    Dilate a rectangle with sides 1 and 3 by length factor 2.75. 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
10,000 Guided Math Practice Chapters | Math With Amar