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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

281–300 of 750 matching chapters · Page 15 of 38

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  1. Grade 7 · Chapter 281

    Preserve a proportional relationship · practice 30

    One batch has 4 units of A and 6 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 282

    Track the percent reference base · practice 30

    An original amount of 20 changes by 85%. 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 283

    Check a two-step equation · practice 30

    Solve 5x + (-2) = -15, 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 284

    Reverse order for negative division · practice 30

    Solve 5x ≤ 1, 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 285

    Compare map and model scales · practice 30

    Dilate a rectangle with sides 3.5 and 3.75 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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  6. Grade 7 · Chapter 286

    Connect circumference and circle area · practice 27

    A circle has radius 6. 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

    Open practice chapter
  7. Grade 7 · Chapter 287

    Account for every box face · practice 30

    Find the surface area of a closed rectangular box with edge lengths 1, 1.5, and 4. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  8. Grade 7 · Chapter 288

    Test a summary against all readings · practice 30

    Find the mean, median, and range of the five values [2, 4, 6, 10, 12]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  9. Grade 7 · Chapter 289

    Build a two-stage outcome table · practice 22

    Two independent selections each have six equally likely outcomes. The first has 5 favorable outcomes and the second has 4. 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 290

    Combine rational changes · practice 31

    Start at -1 and apply a signed change of -6.5. 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 291

    Preserve a proportional relationship · practice 31

    One batch has 2 units of A and 5 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
  12. Grade 7 · Chapter 292

    Track the percent reference base · practice 31

    An original amount of 45 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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  13. Grade 7 · Chapter 293

    Check a two-step equation · practice 31

    Solve 4x + (3) = 54, 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 294

    Reverse order for negative division · practice 31

    Solve 7x ≤ 24, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  15. Grade 7 · Chapter 295

    Compare map and model scales · practice 31

    Dilate a rectangle with sides 4.5 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

    Open practice chapter
  16. Grade 7 · Chapter 296

    Connect circumference and circle area · practice 28

    A circle has radius 4.5. 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

    Open practice chapter
  17. Grade 7 · Chapter 297

    Account for every box face · practice 31

    Find the surface area of a closed rectangular box with edge lengths 2, 5.5, and 5.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  18. Grade 7 · Chapter 298

    Test a summary against all readings · practice 31

    Find the mean, median, and range of the five values [6, 8, 9, 12, 14]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  19. Grade 7 · Chapter 299

    Combine rational changes · practice 32

    Start at 5.5 and apply a signed change of 6. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  20. Grade 7 · Chapter 300

    Preserve a proportional relationship · practice 32

    One batch has 12 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

    Open practice chapter
10,000 Guided Math Practice Chapters | Math With Amar