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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

461–480 of 750 matching chapters · Page 24 of 38

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  1. Grade 7 · Chapter 461

    Compare map and model scales · practice 49

    Dilate a rectangle with sides 1.5 and 5.75 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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  2. Grade 7 · Chapter 462

    Connect circumference and circle area · practice 46

    A circle has radius 1.5. Find the area and arc length of its 345° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  3. Grade 7 · Chapter 463

    Account for every box face · practice 49

    Find the surface area of a closed rectangular box with edge lengths 3.5, 6.5, and 7. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  4. Grade 7 · Chapter 464

    Test a summary against all readings · practice 49

    Find the mean, median, and range of the five values [2, 4, 14, 16, 20]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  5. Grade 7 · Chapter 465

    Combine rational changes · practice 50

    Start at -7.5 and apply a signed change of 8. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  6. Grade 7 · Chapter 466

    Preserve a proportional relationship · practice 50

    One batch has 8 units of A and 4 units of B. Find both quantities in 6 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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  7. Grade 7 · Chapter 467

    Track the percent reference base · practice 50

    An original amount of 175 changes by 75%. 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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  8. Grade 7 · Chapter 468

    Check a two-step equation · practice 50

    Solve 1x + (-4) = -8, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  9. Grade 7 · Chapter 469

    Reverse order for negative division · practice 50

    Solve 5x ≤ -24, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  10. Grade 7 · Chapter 470

    Compare map and model scales · practice 50

    Dilate a rectangle with sides 2.5 and 2.5 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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  11. Grade 7 · Chapter 471

    Connect circumference and circle area · practice 47

    A circle has radius 5.5. Find the area and arc length of its 75° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  12. Grade 7 · Chapter 472

    Account for every box face · practice 50

    Find the surface area of a closed rectangular box with edge lengths 5, 5, and 6. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  13. Grade 7 · Chapter 473

    Test a summary against all readings · practice 50

    Find the mean, median, and range of the five values [4, 6, 7, 17, 19]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  14. Grade 7 · Chapter 474

    Combine rational changes · practice 51

    Start at 5.5 and apply a signed change of -8. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  15. Grade 7 · Chapter 475

    Preserve a proportional relationship · practice 51

    One batch has 6 units of A and 3 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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  16. Grade 7 · Chapter 476

    Track the percent reference base · practice 51

    An original amount of 200 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

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  17. Grade 7 · Chapter 477

    Check a two-step equation · practice 51

    Solve 8x + (0) = -20, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  18. Grade 7 · Chapter 478

    Reverse order for negative division · practice 51

    Solve 7x ≤ -1, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  19. Grade 7 · Chapter 479

    Compare map and model scales · practice 51

    Dilate a rectangle with sides 3.5 and 4.5 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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  20. Grade 7 · Chapter 480

    Connect circumference and circle area · practice 48

    A circle has radius 7.5. Find the area and arc length of its 285° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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10,000 Guided Math Practice Chapters | Math With Amar