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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

301–320 of 750 matching chapters · Page 16 of 38

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  1. Grade 7 · Chapter 301

    Track the percent reference base · practice 32

    An original amount of 70 changes by -35%. 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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  2. Grade 7 · Chapter 302

    Check a two-step equation · practice 32

    Solve 3x + (8) = 42, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  3. Grade 7 · Chapter 303

    Reverse order for negative division · practice 32

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

    Question · Worked solution · Animated example

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  4. Grade 7 · Chapter 304

    Compare map and model scales · practice 32

    Dilate a rectangle with sides 1 and 4.75 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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  5. Grade 7 · Chapter 305

    Connect circumference and circle area · practice 29

    A circle has radius 3. Find the area and arc length of its 180° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  6. Grade 7 · Chapter 306

    Account for every box face · practice 32

    Find the surface area of a closed rectangular box with edge lengths 3.5, 4, and 4.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  7. Grade 7 · Chapter 307

    Test a summary against all readings · practice 32

    Find the mean, median, and range of the five values [8, 10, 14, 16, 16]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  8. Grade 7 · Chapter 308

    Build a two-stage outcome table · practice 23

    Two independent selections each have six equally likely outcomes. The first has 3 favorable outcomes and the second has 6. 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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  9. Grade 7 · Chapter 309

    Combine rational changes · practice 33

    Start at -2 and apply a signed change of -9.5. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  10. Grade 7 · Chapter 310

    Preserve a proportional relationship · practice 33

    One batch has 10 units of A and 2 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

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  11. Grade 7 · Chapter 311

    Track the percent reference base · practice 33

    An original amount of 95 changes by 60%. 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 312

    Check a two-step equation · practice 33

    Solve 2x + (-12) = 31, 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 313

    Reverse order for negative division · practice 33

    Solve -3x ≤ 22, 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 314

    Compare map and model scales · practice 33

    Dilate a rectangle with sides 4 and 5.5 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

    Open practice chapter
  15. Grade 7 · Chapter 315

    Connect circumference and circle area · practice 30

    A circle has radius 1.5. Find the area and arc length of its 135° 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 316

    Account for every box face · practice 33

    Find the surface area of a closed rectangular box with edge lengths 1, 2, and 6. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  17. Grade 7 · Chapter 317

    Test a summary against all readings · practice 33

    Find the mean, median, and range of the five values [2, 4, 4, 17, 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 318

    Build a two-stage outcome table · practice 24

    Two independent selections each have six equally likely outcomes. The first has 2 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

    Open practice chapter
  19. Grade 7 · Chapter 319

    Combine rational changes · practice 34

    Start at 4.5 and apply a signed change of 3. 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 320

    Preserve a proportional relationship · practice 34

    One batch has 8 units of A and 1 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

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