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Grade 7 practice chapters

1. Grade 7 · Chapter 1

   Combine rational changes · practice 1

   Start at -8 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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2. Grade 7 · Chapter 2

   Preserve a proportional relationship · practice 1

   One batch has 12 units of A and 9 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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3. Grade 7 · Chapter 3

   Track the percent reference base · practice 1

   An original amount of 35 changes by 100%. 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 4

   Check a two-step equation · practice 1

   Solve 2x + (7) = 3, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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5. Grade 7 · Chapter 5

   Reverse order for negative division · practice 1

   Solve 3x ≤ 13, including the boundary. Follow the calculation, then test the quantities in the animated example.

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6. Grade 7 · Chapter 6

   Compare map and model scales · practice 1

   Dilate a rectangle with sides 2 and 3 by length factor 0.5. 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 7

   Connect circumference and circle area · practice 1

   A circle has radius 8. Find the area and arc length of its 60° sector. Follow the calculation, then test the quantities in the animated example.

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8. Grade 7 · Chapter 8

   Account for every box face · practice 1

   Find the surface area of a closed rectangular box with edge lengths 2.5, 2.5, and 5. Follow the calculation, then test the quantities in the animated example.

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9. Grade 7 · Chapter 9

   Test a summary against all readings · practice 1

   Find the mean, median, and range of the five values [2, 4, 11, 12, 13]. Follow the calculation, then test the quantities in the animated example.

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10. Grade 7 · Chapter 10

    Combine rational changes · practice 2

    Start at -9 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 11

    Preserve a proportional relationship · practice 2

    One batch has 10 units of A and 8 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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12. Grade 7 · Chapter 12

    Track the percent reference base · practice 2

    An original amount of 60 changes by 40%. 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 13

    Check a two-step equation · practice 2

    Solve 1x + (12) = -9, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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14. Grade 7 · Chapter 14

    Reverse order for negative division · practice 2

    Solve -5x ≤ -13, including the boundary. Follow the calculation, then test the quantities in the animated example.

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15. Grade 7 · Chapter 15

    Compare map and model scales · practice 2

    Dilate a rectangle with sides 3 and 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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16. Grade 7 · Chapter 16

    Connect circumference and circle area · practice 2

    A circle has radius 2.5. Find the area and arc length of its 285° sector. Follow the calculation, then test the quantities in the animated example.

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17. Grade 7 · Chapter 17

    Account for every box face · practice 2

    Find the surface area of a closed rectangular box with edge lengths 3.5, 6.5, and 6.5. Follow the calculation, then test the quantities in the animated example.

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18. Grade 7 · Chapter 18

    Test a summary against all readings · practice 2

    Find the mean, median, and range of the five values [4, 6, 13, 15, 19]. Follow the calculation, then test the quantities in the animated example.

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19. Grade 7 · Chapter 19

    Build a two-stage outcome table · practice 1

    Two independent selections each have six equally likely outcomes. The first has 3 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 20

    Combine rational changes · practice 3

    Start at -2.5 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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