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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

121–140 of 750 matching chapters · Page 7 of 38

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  1. Grade 7 · Chapter 121

    Reverse order for negative division · practice 13

    Solve 3x ≤ -2, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  2. Grade 7 · Chapter 122

    Compare map and model scales · practice 13

    Dilate a rectangle with sides 1.5 and 5.75 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

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  3. Grade 7 · Chapter 123

    Connect circumference and circle area · practice 13

    A circle has radius 7.5. Find the area and arc length of its 105° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  4. Grade 7 · Chapter 124

    Account for every box face · practice 13

    Find the surface area of a closed rectangular box with edge lengths 7, 7, and 7.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  5. Grade 7 · Chapter 125

    Test a summary against all readings · practice 13

    Find the mean, median, and range of the five values [2, 4, 9, 11, 19]. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  6. Grade 7 · Chapter 126

    Build a two-stage outcome table · practice 9

    Two independent selections each have six equally likely outcomes. The first has 4 favorable outcomes and the second has 5. 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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  7. Grade 7 · Chapter 127

    Combine rational changes · practice 14

    Start at -3 and apply a signed change of 1.5. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  8. Grade 7 · Chapter 128

    Preserve a proportional relationship · practice 14

    One batch has 6 units of A and 4 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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  9. Grade 7 · Chapter 129

    Track the percent reference base · practice 14

    An original amount of 175 changes by 100%. 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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  10. Grade 7 · Chapter 130

    Check a two-step equation · practice 14

    Solve 5x + (-5) = 12, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  11. Grade 7 · Chapter 131

    Reverse order for negative division · practice 14

    Solve 5x ≤ 21, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  12. Grade 7 · Chapter 132

    Compare map and model scales · practice 14

    Dilate a rectangle with sides 2.5 and 2.5 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
  13. Grade 7 · Chapter 133

    Connect circumference and circle area · practice 14

    A circle has radius 2. Find the area and arc length of its 330° sector. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  14. Grade 7 · Chapter 134

    Account for every box face · practice 14

    Find the surface area of a closed rectangular box with edge lengths 1, 6, and 6.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  15. Grade 7 · Chapter 135

    Test a summary against all readings · practice 14

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

    Question · Worked solution · Animated example

    Open practice chapter
  16. Grade 7 · Chapter 136

    Build a two-stage outcome table · practice 10

    Two independent selections each have six equally likely outcomes. The first has 3 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

    Open practice chapter
  17. Grade 7 · Chapter 137

    Combine rational changes · practice 15

    Start at -4 and apply a signed change of -1.5. Where do you finish? Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  18. Grade 7 · Chapter 138

    Preserve a proportional relationship · practice 15

    One batch has 4 units of A and 3 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
  19. Grade 7 · Chapter 139

    Track the percent reference base · practice 15

    An original amount of 200 changes by 40%. 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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  20. Grade 7 · Chapter 140

    Check a two-step equation · practice 15

    Solve 4x + (0) = 0, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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