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Grade 9 practice chapters

1. Grade 9 · Chapter 501

   Connect symmetry and quadratic values · practice 55

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

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2. Grade 9 · Chapter 502

   Explain a binomial area product · practice 53

   Evaluate (x + 3)(x + 8) at x = 4.5 by finding all four rectangle-area parts. Follow the calculation, then test the quantities in the animated example.

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3. Grade 9 · Chapter 503

   Preserve function-machine order · practice 55

   Let f(u) = 4u + (5) and g(u) = u². Find f(g(-1)) and g(f(-1)). Follow the calculation, then test the quantities in the animated example.

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4. Grade 9 · Chapter 504

   Compare repeated growth factors · practice 55

   Start at 9 and apply a -10% change during each of 3 complete periods. Find the final amount. Follow the calculation, then test the quantities in the animated example.

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5. Grade 9 · Chapter 505

   Verify an algebraic solution · practice 56

   Solve 3x + (-4) = -16, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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6. Grade 9 · Chapter 506

   Test a complete solution ray · practice 56

   Solve 6x ≤ -19, including the boundary. Follow the calculation, then test the quantities in the animated example.

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7. Grade 9 · Chapter 507

   Interpret signed slope and intercept · practice 53

   For the line y = -2.5x + (2), 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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8. Grade 9 · Chapter 508

   Classify line-system outcomes · practice 56

   Solve the simultaneous equations y = -3x and y = 2x + (-7). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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9. Grade 9 · Chapter 509

   Connect symmetry and quadratic values · practice 56

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

   Question · Worked solution · Animated example

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10. Grade 9 · Chapter 510

    Explain a binomial area product · practice 54

    Evaluate (x + 6)(x + 6) at x = 2.5 by finding all four rectangle-area parts. Follow the calculation, then test the quantities in the animated example.

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11. Grade 9 · Chapter 511

    Preserve function-machine order · practice 56

    Let f(u) = 3u + (-1) and g(u) = u². Find f(g(-4)) and g(f(-4)). Follow the calculation, then test the quantities in the animated example.

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12. Grade 9 · Chapter 512

    Solve a two-direction distance condition · practice 54

    Solve |x − (-5)| = 2. Follow the calculation, then test the quantities in the animated example.

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13. Grade 9 · Chapter 513

    Compare repeated growth factors · practice 56

    Start at 10 and apply a -15% change during each of 8 complete periods. Find the final amount. Follow the calculation, then test the quantities in the animated example.

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14. Grade 9 · Chapter 514

    Verify an algebraic solution · practice 57

    Solve 2x + (1) = 53, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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15. Grade 9 · Chapter 515

    Test a complete solution ray · practice 57

    Solve 8x ≤ 4, including the boundary. Follow the calculation, then test the quantities in the animated example.

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16. Grade 9 · Chapter 516

    Interpret signed slope and intercept · practice 54

    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.

    Question · Worked solution · Animated example

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17. Grade 9 · Chapter 517

    Classify line-system outcomes · practice 57

    Solve the simultaneous equations y = 1x and y = -1.5x + (8). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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18. Grade 9 · Chapter 518

    Connect symmetry and quadratic values · practice 57

    For y = -2(x − (1))² + (0), find y at x = 2 and identify the vertex. Follow the calculation, then test the quantities in the animated example.

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19. Grade 9 · Chapter 519

    Explain a binomial area product · practice 55

    Evaluate (x + 1)(x + 5) 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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20. Grade 9 · Chapter 520

    Preserve function-machine order · practice 57

    Let f(u) = 2u + (6) and g(u) = u². Find f(g(1)) and g(f(1)). Follow the calculation, then test the quantities in the animated example.

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