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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 7 practice chapters

501–520 of 750 matching chapters · Page 26 of 38

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  1. Grade 7 · Chapter 501

    Combine rational changes · practice 54

    Start at 10 and apply a signed change of -1.5. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  2. Grade 7 · Chapter 502

    Preserve a proportional relationship · practice 54

    One batch has 12 units of A and 11 units of B. Find both quantities in 5 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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  3. Grade 7 · Chapter 503

    Track the percent reference base · practice 54

    An original amount of 90 changes by -5%. 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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  4. Grade 7 · Chapter 504

    Check a two-step equation · practice 54

    Solve 5x + (-10) = 26, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  5. Grade 7 · Chapter 505

    Reverse order for negative division · practice 54

    Solve -5x ≤ 20, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  6. Grade 7 · Chapter 506

    Compare map and model scales · practice 54

    Dilate a rectangle with sides 3 and 4.25 by length factor 2.5. 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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  7. Grade 7 · Chapter 507

    Connect circumference and circle area · practice 51

    A circle has radius 4.5. Find the area and arc length of its 195° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  8. Grade 7 · Chapter 508

    Account for every box face · practice 54

    Find the surface area of a closed rectangular box with edge lengths 3, 5.5, and 6.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  9. Grade 7 · Chapter 509

    Test a summary against all readings · practice 54

    Find the mean, median, and range of the five values [4, 6, 16, 16, 18]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  10. Grade 7 · Chapter 510

    Combine rational changes · practice 55

    Start at 9 and apply a signed change of -4.5. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  11. Grade 7 · Chapter 511

    Preserve a proportional relationship · practice 55

    One batch has 10 units of A and 10 units of B. Find both quantities in 7 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 512

    Track the percent reference base · practice 55

    An original amount of 115 changes by 90%. 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 513

    Check a two-step equation · practice 55

    Solve 4x + (-5) = 14, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  14. Grade 7 · Chapter 514

    Reverse order for negative division · practice 55

    Solve 7x ≤ -6, 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 515

    Compare map and model scales · practice 55

    Dilate a rectangle with sides 2.5 and 4 by length factor 0.5. 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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  16. Grade 7 · Chapter 516

    Connect circumference and circle area · practice 52

    A circle has radius 3. Find the area and arc length of its 150° 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 517

    Account for every box face · practice 55

    Find the surface area of a closed rectangular box with edge lengths 2, 2, 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 518

    Test a summary against all readings · practice 55

    Find the mean, median, and range of the five values [3, 6, 8, 9, 11]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  19. Grade 7 · Chapter 519

    Combine rational changes · practice 56

    Start at -5 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
  20. Grade 7 · Chapter 520

    Preserve a proportional relationship · practice 56

    One batch has 6 units of A and 8 units of B. Find both quantities in 3 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
10,000 Guided Math Practice Chapters | Math With Amar