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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

21–40 of 750 matching chapters · Page 2 of 38

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  1. Grade 7 · Chapter 21

    Preserve a proportional relationship · practice 3

    One batch has 8 units of A and 7 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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  2. Grade 7 · Chapter 22

    Track the percent reference base · practice 3

    An original amount of 85 changes by -20%. 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 23

    Check a two-step equation · practice 3

    Solve 8x + (-9) = -20, 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 24

    Reverse order for negative division · practice 3

    Solve -7x ≤ 10, 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 25

    Compare map and model scales · practice 3

    Dilate a rectangle with sides 1.5 and 2.75 by length factor 1.25. 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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  6. Grade 7 · Chapter 26

    Connect circumference and circle area · practice 3

    A circle has radius 1. Find the area and arc length of its 240° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  7. Grade 7 · Chapter 27

    Account for every box face · practice 3

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

    Question · Worked solution · Animated example

    Open practice chapter
  8. Grade 7 · Chapter 28

    Test a summary against all readings · practice 3

    Find the mean, median, and range of the five values [6, 6, 8, 16, 18]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  9. Grade 7 · Chapter 29

    Build a two-stage outcome table · practice 2

    Two independent selections each have six equally likely outcomes. The first has 2 favorable outcomes and the second has 3. 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 30

    Combine rational changes · practice 4

    Start at -10 and apply a signed change of -5.5. 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 31

    Preserve a proportional relationship · practice 4

    One batch has 4 units of A and 5 units of B. Find both quantities in 3 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 32

    Track the percent reference base · practice 4

    An original amount of 110 changes by 75%. 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
  13. Grade 7 · Chapter 33

    Check a two-step equation · practice 4

    Solve 7x + (-4) = 49, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  14. Grade 7 · Chapter 34

    Reverse order for negative division · practice 4

    Solve 1x ≤ -15, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  15. Grade 7 · Chapter 35

    Compare map and model scales · practice 4

    Dilate a rectangle with sides 2.5 and 4.75 by length factor 0.75. 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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  16. Grade 7 · Chapter 36

    Connect circumference and circle area · practice 4

    A circle has radius 7. 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

    Open practice chapter
  17. Grade 7 · Chapter 37

    Account for every box face · practice 4

    Find the surface area of a closed rectangular box with edge lengths 1, 4.5, and 8. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  18. Grade 7 · Chapter 38

    Test a summary against all readings · practice 4

    Find the mean, median, and range of the five values [8, 10, 13, 18, 20]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  19. Grade 7 · Chapter 39

    Combine rational changes · practice 5

    Start at -3.5 and apply a signed change of 7. 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 40

    Preserve a proportional relationship · practice 5

    One batch has 2 units of A and 4 units of B. Find both quantities in 5 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