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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

401–420 of 750 matching chapters · Page 21 of 38

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  1. Grade 7 · Chapter 401

    Test a summary against all readings · practice 42

    Find the mean, median, and range of the five values [4, 6, 9, 18, 20]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  2. Grade 7 · Chapter 402

    Combine rational changes · practice 43

    Start at 4 and apply a signed change of -5.5. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  3. Grade 7 · Chapter 403

    Preserve a proportional relationship · practice 43

    One batch has 10 units of A and 12 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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  4. Grade 7 · Chapter 404

    Track the percent reference base · practice 43

    An original amount of 185 changes by 25%. 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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  5. Grade 7 · Chapter 405

    Check a two-step equation · practice 43

    Solve 8x + (11) = -7, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  6. Grade 7 · Chapter 406

    Reverse order for negative division · practice 43

    Solve 7x ≤ 9, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  7. Grade 7 · Chapter 407

    Compare map and model scales · practice 43

    Dilate a rectangle with sides 2 and 4.5 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

    Open practice chapter
  8. Grade 7 · Chapter 408

    Connect circumference and circle area · practice 40

    A circle has radius 5.5. 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

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  9. Grade 7 · Chapter 409

    Account for every box face · practice 43

    Find the surface area of a closed rectangular box with edge lengths 5.5, 6, and 6.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  10. Grade 7 · Chapter 410

    Test a summary against all readings · practice 43

    Find the mean, median, and range of the five values [6, 8, 10, 12, 16]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  11. Grade 7 · Chapter 411

    Combine rational changes · practice 44

    Start at -10 and apply a signed change of 7.5. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  12. Grade 7 · Chapter 412

    Preserve a proportional relationship · practice 44

    One batch has 8 units of A and 11 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
  13. Grade 7 · Chapter 413

    Track the percent reference base · practice 44

    An original amount of 25 changes by -30%. 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
  14. Grade 7 · Chapter 414

    Check a two-step equation · practice 44

    Solve 7x + (-9) = -18, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  15. Grade 7 · Chapter 415

    Reverse order for negative division · practice 44

    Solve -1x ≤ -16, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  16. Grade 7 · Chapter 416

    Compare map and model scales · practice 44

    Dilate a rectangle with sides 5 and 5.25 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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  17. Grade 7 · Chapter 417

    Connect circumference and circle area · practice 41

    A circle has radius 2. 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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  18. Grade 7 · Chapter 418

    Account for every box face · practice 44

    Find the surface area of a closed rectangular box with edge lengths 1, 3.5, and 4.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  19. Grade 7 · Chapter 419

    Test a summary against all readings · practice 44

    Find the mean, median, and range of the five values [3, 8, 10, 13, 15]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  20. Grade 7 · Chapter 420

    Combine rational changes · practice 45

    Start at 3 and apply a signed change of -8.5. Where do you finish? 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