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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

41–60 of 750 matching chapters · Page 3 of 38

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  1. Grade 7 · Chapter 41

    Track the percent reference base · practice 5

    An original amount of 135 changes by 15%. 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 42

    Check a two-step equation · practice 5

    Solve 6x + (1) = 37, 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 43

    Reverse order for negative division · practice 5

    Solve 3x ≤ 8, 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 44

    Compare map and model scales · practice 5

    Dilate a rectangle with sides 5.5 and 5.5 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 45

    Connect circumference and circle area · practice 5

    A circle has radius 5.5. 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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  6. Grade 7 · Chapter 46

    Account for every box face · practice 5

    Find the surface area of a closed rectangular box with edge lengths 2.5, 3, and 7. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  7. Grade 7 · Chapter 47

    Test a summary against all readings · practice 5

    Find the mean, median, and range of the five values [1, 2, 4, 11, 13]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  8. Grade 7 · Chapter 48

    Build a two-stage outcome table · practice 3

    Two independent selections each have six equally likely outcomes. The first has 6 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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  9. Grade 7 · Chapter 49

    Combine rational changes · practice 6

    Start at 9.5 and apply a signed change of -9. 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 50

    Preserve a proportional relationship · practice 6

    One batch has 12 units of A and 2 units of B. Find both quantities in 7 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 51

    Track the percent reference base · practice 6

    An original amount of 160 changes by -45%. 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 52

    Check a two-step equation · practice 6

    Solve 5x + (6) = 25, 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 53

    Reverse order for negative division · practice 6

    Solve -5x ≤ -18, 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 54

    Compare map and model scales · practice 6

    Dilate a rectangle with sides 1 and 2.5 by length factor 2. 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 55

    Connect circumference and circle area · practice 6

    A circle has radius 7.5. Find the area and arc length of its 345° 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 56

    Account for every box face · practice 6

    Find the surface area of a closed rectangular box with edge lengths 5, 5.5, and 7.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  17. Grade 7 · Chapter 57

    Test a summary against all readings · practice 6

    Find the mean, median, and range of the five values [4, 6, 8, 13, 15]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  18. Grade 7 · Chapter 58

    Build a two-stage outcome table · practice 4

    Two independent selections each have six equally likely outcomes. The first has 5 favorable outcomes and the second has 2. 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 59

    Combine rational changes · practice 7

    Start at -4.5 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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  20. Grade 7 · Chapter 60

    Preserve a proportional relationship · practice 7

    One batch has 8 units of A and 12 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
10,000 Guided Math Practice Chapters | Math With Amar