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Grade 7 practice chapters

1. Grade 7 · Chapter 221

   Combine rational changes · practice 24

   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.

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2. Grade 7 · Chapter 222

   Preserve a proportional relationship · practice 24

   One batch has 6 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.

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3. Grade 7 · Chapter 223

   Track the percent reference base · practice 24

   An original amount of 55 changes by -25%. 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 224

   Check a two-step equation · practice 24

   Solve 3x + (-6) = 56, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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5. Grade 7 · Chapter 225

   Reverse order for negative division · practice 24

   Solve -1x ≤ 9, including the boundary. Follow the calculation, then test the quantities in the animated example.

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6. Grade 7 · Chapter 226

   Compare map and model scales · practice 24

   Dilate a rectangle with sides 1.5 and 3.5 by length factor 2.75. 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 227

   Connect circumference and circle area · practice 21

   A circle has radius 2.5. Find the area and arc length of its 255° sector. Follow the calculation, then test the quantities in the animated example.

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8. Grade 7 · Chapter 228

   Account for every box face · practice 24

   Find the surface area of a closed rectangular box with edge lengths 1.5, 2.5, and 4.5. Follow the calculation, then test the quantities in the animated example.

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9. Grade 7 · Chapter 229

   Test a summary against all readings · practice 24

   Find the mean, median, and range of the five values [8, 10, 15, 17, 18]. Follow the calculation, then test the quantities in the animated example.

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10. Grade 7 · Chapter 230

    Build a two-stage outcome table · practice 17

    Two independent selections each have six equally likely outcomes. The first has 5 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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11. Grade 7 · Chapter 231

    Combine rational changes · practice 25

    Start at 3 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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12. Grade 7 · Chapter 232

    Preserve a proportional relationship · practice 25

    One batch has 2 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

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13. Grade 7 · Chapter 233

    Track the percent reference base · practice 25

    An original amount of 80 changes by 70%. Find the signed change and the new amount. Follow the calculation, then test the quantities in the animated example.

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14. Grade 7 · Chapter 234

    Check a two-step equation · practice 25

    Solve 2x + (-1) = 44, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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15. Grade 7 · Chapter 235

    Reverse order for negative division · practice 25

    Solve 3x ≤ -17, including the boundary. Follow the calculation, then test the quantities in the animated example.

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16. Grade 7 · Chapter 236

    Compare map and model scales · practice 25

    Dilate a rectangle with sides 2.5 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.

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17. Grade 7 · Chapter 237

    Connect circumference and circle area · practice 22

    A circle has radius 1. Find the area and arc length of its 210° sector. Follow the calculation, then test the quantities in the animated example.

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18. Grade 7 · Chapter 238

    Account for every box face · practice 25

    Find the surface area of a closed rectangular box with edge lengths 4, 5, and 5. Follow the calculation, then test the quantities in the animated example.

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19. Grade 7 · Chapter 239

    Test a summary against all readings · practice 25

    Find the mean, median, and range of the five values [2, 4, 6, 18, 20]. Follow the calculation, then test the quantities in the animated example.

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20. Grade 7 · Chapter 240

    Build a two-stage outcome table · practice 18

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