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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

61–80 of 750 matching chapters · Page 4 of 38

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  1. Grade 7 · Chapter 61

    Track the percent reference base · practice 7

    An original amount of 185 changes by 50%. 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 62

    Check a two-step equation · practice 7

    Solve 4x + (11) = 13, 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 63

    Reverse order for negative division · practice 7

    Solve -7x ≤ 5, 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 64

    Compare map and model scales · practice 7

    Dilate a rectangle with sides 2 and 4.5 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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  5. Grade 7 · Chapter 65

    Connect circumference and circle area · practice 7

    A circle has radius 4. Find the area and arc length of its 90° 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 66

    Account for every box face · practice 7

    Find the surface area of a closed rectangular box with edge lengths 7.5, 8, and 8. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  7. Grade 7 · Chapter 67

    Test a summary against all readings · practice 7

    Find the mean, median, and range of the five values [6, 8, 15, 15, 17]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  8. Grade 7 · Chapter 68

    Build a two-stage outcome table · practice 5

    Two independent selections each have six equally likely outcomes. The first has 4 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 69

    Combine rational changes · practice 8

    Start at -5.5 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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  10. Grade 7 · Chapter 70

    Preserve a proportional relationship · practice 8

    One batch has 6 units of A and 11 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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  11. Grade 7 · Chapter 71

    Track the percent reference base · practice 8

    An original amount of 25 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

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  12. Grade 7 · Chapter 72

    Check a two-step equation · practice 8

    Solve 3x + (-9) = 2, 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 73

    Reverse order for negative division · practice 8

    Solve 1x ≤ -20, 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 74

    Compare map and model scales · practice 8

    Dilate a rectangle with sides 5 and 5.25 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 75

    Connect circumference and circle area · practice 8

    A circle has radius 6. Find the area and arc length of its 300° 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 76

    Account for every box face · practice 8

    Find the surface area of a closed rectangular box with edge lengths 1.5, 7, and 7. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  17. Grade 7 · Chapter 77

    Test a summary against all readings · practice 8

    Find the mean, median, and range of the five values [2, 8, 10, 18, 20]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  18. Grade 7 · Chapter 78

    Build a two-stage outcome table · practice 6

    Two independent selections each have six equally likely outcomes. The first has 3 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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  19. Grade 7 · Chapter 79

    Combine rational changes · practice 9

    Start at -6.5 and apply a signed change of -2. 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 80

    Preserve a proportional relationship · practice 9

    One batch has 4 units of A and 10 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
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