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Grade 9 practice chapters

1. Grade 9 · Chapter 721

   Preserve function-machine order · practice 80

   Let f(u) = 1u + (6) and g(u) = u². Find f(g(-3.5)) and g(f(-3.5)). Follow the calculation, then test the quantities in the animated example.

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2. Grade 9 · Chapter 722

   Solve a two-direction distance condition · practice 78

   Solve |x − (-1)| = 2. Follow the calculation, then test the quantities in the animated example.

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3. Grade 9 · Chapter 723

   Compare repeated growth factors · practice 80

   Start at 5 and apply a -40% change during each of 4 complete periods. Find the final amount. Follow the calculation, then test the quantities in the animated example.

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4. Grade 9 · Chapter 724

   Verify an algebraic solution · practice 81

   Solve 2x + (-7) = 13, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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5. Grade 9 · Chapter 725

   Test a complete solution ray · practice 79

   Solve -8x ≤ 23, including the boundary. Follow the calculation, then test the quantities in the animated example.

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6. Grade 9 · Chapter 726

   Interpret signed slope and intercept · practice 75

   For the line y = -3x + (3), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

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7. Grade 9 · Chapter 727

   Classify line-system outcomes · practice 81

   Solve the simultaneous equations y = 0x and y = -0.5x + (2). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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8. Grade 9 · Chapter 728

   Connect symmetry and quadratic values · practice 80

   For y = -2(x − (-1.5))² + (-2.5), find y at x = 2 and identify the vertex. Follow the calculation, then test the quantities in the animated example.

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9. Grade 9 · Chapter 729

   Explain a binomial area product · practice 79

   Evaluate (x + 5)(x + 5) at x = 1.5 by finding all four rectangle-area parts. Follow the calculation, then test the quantities in the animated example.

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10. Grade 9 · Chapter 730

    Preserve function-machine order · practice 81

    Let f(u) = 4u + (-1) and g(u) = u². Find f(g(2)) and g(f(2)). Follow the calculation, then test the quantities in the animated example.

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11. Grade 9 · Chapter 731

    Solve a two-direction distance condition · practice 79

    Solve |x − (7)| = 7. Follow the calculation, then test the quantities in the animated example.

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12. Grade 9 · Chapter 732

    Compare repeated growth factors · practice 81

    Start at 6 and apply a 40% change during each of 8 complete periods. Find the final amount. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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13. Grade 9 · Chapter 733

    Verify an algebraic solution · practice 82

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

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14. Grade 9 · Chapter 734

    Test a complete solution ray · practice 80

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

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15. Grade 9 · Chapter 735

    Interpret signed slope and intercept · practice 76

    For the line y = 4x + (-1), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

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16. Grade 9 · Chapter 736

    Classify line-system outcomes · practice 82

    Solve the simultaneous equations y = -3x and y = 3x + (-5). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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17. Grade 9 · Chapter 737

    Connect symmetry and quadratic values · practice 81

    For y = 0.5(x − (1.5))² + (2.5), find y at x = 2 and identify the vertex. Follow the calculation, then test the quantities in the animated example.

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18. Grade 9 · Chapter 738

    Explain a binomial area product · practice 80

    Evaluate (x + 6)(x + 8) at x = 6 by finding all four rectangle-area parts. Follow the calculation, then test the quantities in the animated example.

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19. Grade 9 · Chapter 739

    Preserve function-machine order · practice 82

    Let f(u) = 3u + (6) and g(u) = u². Find f(g(-1.5)) and g(f(-1.5)). Follow the calculation, then test the quantities in the animated example.

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20. Grade 9 · Chapter 740

    Solve a two-direction distance condition · practice 80

    Solve |x − (-2)| = 4. Follow the calculation, then test the quantities in the animated example.

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