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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

421–440 of 750 matching chapters · Page 22 of 38

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  1. Grade 7 · Chapter 421

    Preserve a proportional relationship · practice 45

    One batch has 6 units of A and 10 units of B. Find both quantities in 4 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 422

    Track the percent reference base · practice 45

    An original amount of 50 changes by 65%. 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 423

    Check a two-step equation · practice 45

    Solve 6x + (-4) = 51, 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 424

    Reverse order for negative division · practice 45

    Solve -3x ≤ 7, 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 425

    Compare map and model scales · practice 45

    Dilate a rectangle with sides 1.5 and 4.25 by length factor 1.5. 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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  6. Grade 7 · Chapter 426

    Connect circumference and circle area · practice 42

    A circle has radius 4. Find the area and arc length of its 270° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  7. Grade 7 · Chapter 427

    Account for every box face · practice 45

    Find the surface area of a closed rectangular box with edge lengths 3, 4, and 8. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  8. Grade 7 · Chapter 428

    Test a summary against all readings · practice 45

    Find the mean, median, and range of the five values [2, 4, 11, 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 429

    Combine rational changes · practice 46

    Start at 9.5 and apply a signed change of 4. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  10. Grade 7 · Chapter 430

    Preserve a proportional relationship · practice 46

    One batch has 4 units of A and 9 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

    Open practice chapter
  11. Grade 7 · Chapter 431

    Track the percent reference base · practice 46

    An original amount of 75 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

    Open practice chapter
  12. Grade 7 · Chapter 432

    Check a two-step equation · practice 46

    Solve 5x + (1) = 39, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  13. Grade 7 · Chapter 433

    Reverse order for negative division · practice 46

    Solve 5x ≤ -19, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  14. Grade 7 · Chapter 434

    Compare map and model scales · practice 46

    Dilate a rectangle with sides 4.5 and 5 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

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  15. Grade 7 · Chapter 435

    Connect circumference and circle area · practice 43

    A circle has radius 2.5. Find the area and arc length of its 225° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  16. Grade 7 · Chapter 436

    Account for every box face · practice 46

    Find the surface area of a closed rectangular box with edge lengths 1, 4, and 6.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  17. Grade 7 · Chapter 437

    Test a summary against all readings · practice 46

    Find the mean, median, and range of the five values [4, 6, 17, 18, 19]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  18. Grade 7 · Chapter 438

    Combine rational changes · practice 47

    Start at 8.5 and apply a signed change of 1. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  19. Grade 7 · Chapter 439

    Preserve a proportional relationship · practice 47

    One batch has 2 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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  20. Grade 7 · Chapter 440

    Track the percent reference base · practice 47

    An original amount of 100 changes by 100%. 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
10,000 Guided Math Practice Chapters | Math With Amar