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Math With Amar · Guided practice

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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

261–280 of 750 matching chapters · Page 14 of 38

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  1. Grade 8 · Chapter 261

    Connect slope and a linear rule · practice 29

    For the line y = 0.5x + (-5), 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
  2. Grade 8 · Chapter 262

    Locate simultaneous solutions · practice 29

    Solve the simultaneous equations y = 1.5x 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

    Open practice chapter
  3. Grade 8 · Chapter 263

    Translate every coordinate equally · practice 29

    Translate the point (1, 1) by the vector (-2, -6). 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
  4. Grade 8 · Chapter 264

    Recover a right-triangle distance · practice 25

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

    Question · Worked solution · Animated example

    Open practice chapter
  5. Grade 8 · Chapter 265

    Follow decimal place-value scaling · practice 27

    Write 1 × 10^(-3) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  6. Grade 8 · Chapter 266

    Separate trend from causal claims · practice 28

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [0.25, -7.5, -4, -0.5, -8.25], 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

    Open practice chapter
  7. Grade 8 · Chapter 267

    Accumulate circular cross-sections · practice 28

    Find the volume of a cylinder with radius 7 and height 9. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  8. Grade 8 · Chapter 268

    Bracket a principal square root · practice 29

    Enclose √90 after 3 bisections starting from [0, 90]. 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
  9. Grade 8 · Chapter 269

    Distinguish length and area multipliers · practice 29

    Dilate a rectangle with sides 1.5 and 4 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

    Open practice chapter
  10. Grade 8 · Chapter 270

    Connect slope and a linear rule · practice 30

    For the line y = 0x + (8), 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
  11. Grade 8 · Chapter 271

    Locate simultaneous solutions · practice 30

    Solve the simultaneous equations y = -1.5x and y = 0.5x + (-8). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  12. Grade 8 · Chapter 272

    Translate every coordinate equally · practice 30

    Translate the point (1, 1) by the vector (1, 5). 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
  13. Grade 8 · Chapter 273

    Recover a right-triangle distance · practice 26

    A right triangle has perpendicular legs 1 and 6. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  14. Grade 8 · Chapter 274

    Follow decimal place-value scaling · practice 28

    Write 1.5 × 10^(5) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  15. Grade 8 · Chapter 275

    Separate trend from causal claims · practice 29

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [0.5, -11, -7.5, -4, -15.5], 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

    Open practice chapter
  16. Grade 8 · Chapter 276

    Accumulate circular cross-sections · practice 29

    Find the volume of a cylinder with radius 5 and height 5.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  17. Grade 8 · Chapter 277

    Bracket a principal square root · practice 30

    Enclose √66 after 10 bisections starting from [0, 66]. 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
  18. Grade 8 · Chapter 278

    Distinguish length and area multipliers · practice 30

    Dilate a rectangle with sides 2.5 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
  19. Grade 8 · Chapter 279

    Connect slope and a linear rule · practice 31

    For the line y = -1x + (-8), 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
  20. Grade 8 · Chapter 280

    Locate simultaneous solutions · practice 31

    Solve the simultaneous equations y = 2.5x and y = -3x + (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
10,000 Guided Math Practice Chapters | Math With Amar