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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

81–100 of 750 matching chapters · Page 5 of 38

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  1. Grade 7 · Chapter 81

    Track the percent reference base · practice 9

    An original amount of 50 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

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  2. Grade 7 · Chapter 82

    Check a two-step equation · practice 9

    Solve 2x + (-4) = -10, 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 83

    Reverse order for negative division · practice 9

    Solve 3x ≤ 3, 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 84

    Compare map and model scales · practice 9

    Dilate a rectangle with sides 1.5 and 4.25 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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  5. Grade 7 · Chapter 85

    Connect circumference and circle area · practice 9

    A circle has radius 2.5. Find the area and arc length of its 45° 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 86

    Account for every box face · practice 9

    Find the surface area of a closed rectangular box with edge lengths 3, 5.5, and 6. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  7. Grade 7 · Chapter 87

    Test a summary against all readings · practice 9

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

    Question · Worked solution · Animated example

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  8. Grade 7 · Chapter 88

    Combine rational changes · practice 10

    Start at -7.5 and apply a signed change of -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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  9. Grade 7 · Chapter 89

    Preserve a proportional relationship · practice 10

    One batch has 2 units of A and 9 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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  10. Grade 7 · Chapter 90

    Track the percent reference base · practice 10

    An original amount of 75 changes by 30%. 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
  11. Grade 7 · Chapter 91

    Check a two-step equation · practice 10

    Solve 1x + (1) = 59, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  12. Grade 7 · Chapter 92

    Reverse order for negative division · practice 10

    Solve -5x ≤ -23, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  13. Grade 7 · Chapter 93

    Compare map and model scales · practice 10

    Dilate a rectangle with sides 1 and 4 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

    Open practice chapter
  14. Grade 7 · Chapter 94

    Connect circumference and circle area · practice 10

    A circle has radius 4.5. Find the area and arc length of its 255° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  15. Grade 7 · Chapter 95

    Account for every box face · practice 10

    Find the surface area of a closed rectangular box with edge lengths 2, 2, and 6.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  16. Grade 7 · Chapter 96

    Test a summary against all readings · practice 10

    Find the mean, median, and range of the five values [4, 6, 12, 14, 17]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  17. Grade 7 · Chapter 97

    Build a two-stage outcome table · practice 7

    Two independent selections each have six equally likely outcomes. The first has 1 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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  18. Grade 7 · Chapter 98

    Combine rational changes · practice 11

    Start at -1 and apply a signed change of 7.5. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  19. Grade 7 · Chapter 99

    Preserve a proportional relationship · practice 11

    One batch has 12 units of A and 7 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

    Open practice chapter
  20. Grade 7 · Chapter 100

    Track the percent reference base · practice 11

    An original amount of 100 changes by -30%. 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