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Grade 7 practice chapters

1. Grade 7 · Chapter 241

   Combine rational changes · practice 26

   Start at -4.5 and apply a signed change of -10. Where do you finish? Follow the calculation, then test the quantities in the animated example.

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2. Grade 7 · Chapter 242

   Preserve a proportional relationship · practice 26

   One batch has 12 units of A and 10 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.

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3. Grade 7 · Chapter 243

   Track the percent reference base · practice 26

   An original amount of 105 changes by 10%. Find the signed change and the new amount. Follow the calculation, then test the quantities in the animated example.

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4. Grade 7 · Chapter 244

   Check a two-step equation · practice 26

   Solve 1x + (4) = 32, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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5. Grade 7 · Chapter 245

   Reverse order for negative division · practice 26

   Solve 5x ≤ 6, including the boundary. Follow the calculation, then test the quantities in the animated example.

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6. Grade 7 · Chapter 246

   Compare map and model scales · practice 26

   Dilate a rectangle with sides 1 and 3.25 by length factor 0.75. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

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7. Grade 7 · Chapter 247

   Connect circumference and circle area · practice 23

   A circle has radius 7. Find the area and arc length of its 150° sector. Follow the calculation, then test the quantities in the animated example.

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8. Grade 7 · Chapter 248

   Account for every box face · practice 26

   Find the surface area of a closed rectangular box with edge lengths 1, 1, and 2. Follow the calculation, then test the quantities in the animated example.

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9. Grade 7 · Chapter 249

   Test a summary against all readings · practice 26

   Find the mean, median, and range of the five values [4, 6, 10, 12, 13]. Follow the calculation, then test the quantities in the animated example.

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10. Grade 7 · Chapter 250

    Combine rational changes · practice 27

    Start at 2 and apply a signed change of 2.5. 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 251

    Preserve a proportional relationship · practice 27

    One batch has 10 units of A and 9 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

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12. Grade 7 · Chapter 252

    Track the percent reference base · practice 27

    An original amount of 130 changes by -50%. Find the signed change and the new amount. Follow the calculation, then test the quantities in the animated example.

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13. Grade 7 · Chapter 253

    Check a two-step equation · practice 27

    Solve 8x + (8) = 20, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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14. Grade 7 · Chapter 254

    Reverse order for negative division · practice 27

    Solve -7x ≤ -20, including the boundary. Follow the calculation, then test the quantities in the animated example.

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15. Grade 7 · Chapter 255

    Compare map and model scales · practice 27

    Dilate a rectangle with sides 2 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.

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16. Grade 7 · Chapter 256

    Connect circumference and circle area · practice 24

    A circle has radius 5.5. Find the area and arc length of its 105° sector. Follow the calculation, then test the quantities in the animated example.

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17. Grade 7 · Chapter 257

    Account for every box face · practice 27

    Find the surface area of a closed rectangular box with edge lengths 1.5, 3, and 6.5. Follow the calculation, then test the quantities in the animated example.

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18. Grade 7 · Chapter 258

    Test a summary against all readings · practice 27

    Find the mean, median, and range of the five values [6, 8, 12, 14, 20]. Follow the calculation, then test the quantities in the animated example.

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19. Grade 7 · Chapter 259

    Build a two-stage outcome table · practice 19

    Two independent selections each have six equally likely outcomes. The first has 2 favorable outcomes and the second has 5. Find the probability both are favorable. Follow the calculation, then test the quantities in the animated example.

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20. Grade 7 · Chapter 260

    Combine rational changes · practice 28

    Start at 1 and apply a signed change of -0.5. Where do you finish? Follow the calculation, then test the quantities in the animated example.

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