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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 7 practice chapters

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

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  1. Grade 7 · Chapter 261

    Preserve a proportional relationship · practice 28

    One batch has 8 units of A and 8 units of B. Find both quantities in 8 identical batches and the fraction of the total that is A. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  2. Grade 7 · Chapter 262

    Track the percent reference base · practice 28

    An original amount of 155 changes by 45%. Find the signed change and the new amount. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  3. Grade 7 · Chapter 263

    Check a two-step equation · practice 28

    Solve 7x + (-12) = 9, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  4. Grade 7 · Chapter 264

    Reverse order for negative division · practice 28

    Solve -1x ≤ 4, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  5. Grade 7 · Chapter 265

    Compare map and model scales · practice 28

    Dilate a rectangle with sides 4 and 4 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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  6. Grade 7 · Chapter 266

    Connect circumference and circle area · practice 25

    A circle has radius 7.5. Find the area and arc length of its 315° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  7. Grade 7 · Chapter 267

    Account for every box face · practice 28

    Find the surface area of a closed rectangular box with edge lengths 2.5, 7, and 8. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  8. Grade 7 · Chapter 268

    Test a summary against all readings · practice 28

    Find the mean, median, and range of the five values [7, 8, 10, 15, 17]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  9. Grade 7 · Chapter 269

    Build a two-stage outcome table · practice 20

    Two independent selections each have six equally likely outcomes. The first has 1 favorable outcomes and the second has 3. Find the probability both are favorable. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  10. Grade 7 · Chapter 270

    Combine rational changes · practice 29

    Start at 0 and apply a signed change of -3.5. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  11. Grade 7 · Chapter 271

    Preserve a proportional relationship · practice 29

    One batch has 6 units of A and 7 units of B. Find both quantities in 2 identical batches and the fraction of the total that is A. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  12. Grade 7 · Chapter 272

    Track the percent reference base · practice 29

    An original amount of 180 changes by -15%. Find the signed change and the new amount. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  13. Grade 7 · Chapter 273

    Check a two-step equation · practice 29

    Solve 6x + (-7) = -3, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  14. Grade 7 · Chapter 274

    Reverse order for negative division · practice 29

    Solve 3x ≤ -22, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  15. Grade 7 · Chapter 275

    Compare map and model scales · practice 29

    Dilate a rectangle with sides 5 and 6 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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  16. Grade 7 · Chapter 276

    Connect circumference and circle area · practice 26

    A circle has radius 4. Find the area and arc length of its 60° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  17. Grade 7 · Chapter 277

    Account for every box face · practice 29

    Find the surface area of a closed rectangular box with edge lengths 4, 5.5, and 7. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  18. Grade 7 · Chapter 278

    Test a summary against all readings · practice 29

    Find the mean, median, and range of the five values [2, 4, 15, 17, 19]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  19. Grade 7 · Chapter 279

    Build a two-stage outcome table · practice 21

    Two independent selections each have six equally likely outcomes. The first has 6 favorable outcomes and the second has 6. Find the probability both are favorable. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  20. Grade 7 · Chapter 280

    Combine rational changes · practice 30

    Start at 6.5 and apply a signed change of 9. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
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