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Grade 7 practice chapters

1. Grade 7 · Chapter 201

   Build a two-stage outcome table · practice 15

   Two independent selections each have six equally likely outcomes. The first has 2 favorable outcomes and the second has 6. Find the probability both are favorable. Follow the calculation, then test the quantities in the animated example.

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2. Grade 7 · Chapter 202

   Combine rational changes · practice 22

   Start at -2.5 and apply a signed change of -4. Where do you finish? Follow the calculation, then test the quantities in the animated example.

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3. Grade 7 · Chapter 203

   Preserve a proportional relationship · practice 22

   One batch has 10 units of A and 4 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.

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4. Grade 7 · Chapter 204

   Track the percent reference base · practice 22

   An original amount of 190 changes by 90%. Find the signed change and the new amount. Follow the calculation, then test the quantities in the animated example.

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5. Grade 7 · Chapter 205

   Check a two-step equation · practice 22

   Solve 5x + (9) = -2, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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6. Grade 7 · Chapter 206

   Reverse order for negative division · practice 22

   Solve 5x ≤ 11, including the boundary. Follow the calculation, then test the quantities in the animated example.

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7. Grade 7 · Chapter 207

   Compare map and model scales · practice 22

   Dilate a rectangle with sides 2 and 3.75 by length factor 2. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

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8. Grade 7 · Chapter 208

   Connect circumference and circle area · practice 19

   A circle has radius 4. Find the area and arc length of its 300° sector. Follow the calculation, then test the quantities in the animated example.

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9. Grade 7 · Chapter 209

   Account for every box face · practice 22

   Find the surface area of a closed rectangular box with edge lengths 2, 4, and 7. Follow the calculation, then test the quantities in the animated example.

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10. Grade 7 · Chapter 210

    Test a summary against all readings · practice 22

    Find the mean, median, and range of the five values [4, 4, 6, 11, 13]. Follow the calculation, then test the quantities in the animated example.

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11. Grade 7 · Chapter 211

    Build a two-stage outcome table · practice 16

    Two independent selections each have six equally likely outcomes. The first has 1 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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12. Grade 7 · Chapter 212

    Combine rational changes · practice 23

    Start at 4 and apply a signed change of 8.5. Where do you finish? Follow the calculation, then test the quantities in the animated example.

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13. Grade 7 · Chapter 213

    Preserve a proportional relationship · practice 23

    One batch has 8 units of A and 3 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.

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14. Grade 7 · Chapter 214

    Track the percent reference base · practice 23

    An original amount of 30 changes by 35%. Find the signed change and the new amount. Follow the calculation, then test the quantities in the animated example.

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15. Grade 7 · Chapter 215

    Check a two-step equation · practice 23

    Solve 4x + (-11) = -13, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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16. Grade 7 · Chapter 216

    Reverse order for negative division · practice 23

    Solve -7x ≤ -15, including the boundary. Follow the calculation, then test the quantities in the animated example.

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17. Grade 7 · Chapter 217

    Compare map and model scales · practice 23

    Dilate a rectangle with sides 3 and 5.75 by length factor 1.5. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

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18. Grade 7 · Chapter 218

    Connect circumference and circle area · practice 20

    A circle has radius 8. Find the area and arc length of its 30° sector. Follow the calculation, then test the quantities in the animated example.

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19. Grade 7 · Chapter 219

    Account for every box face · practice 23

    Find the surface area of a closed rectangular box with edge lengths 4.5, 6.5, and 7.5. Follow the calculation, then test the quantities in the animated example.

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20. Grade 7 · Chapter 220

    Test a summary against all readings · practice 23

    Find the mean, median, and range of the five values [6, 8, 11, 13, 15]. Follow the calculation, then test the quantities in the animated example.

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