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Grade 9 practice chapters

1. Grade 9 · Chapter 361

   Explain a binomial area product · practice 39

   Evaluate (x + 2)(x + 4) at x = 1 by finding all four rectangle-area parts. Follow the calculation, then test the quantities in the animated example.

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2. Grade 9 · Chapter 362

   Preserve function-machine order · practice 39

   Let f(u) = 1u + (-5) 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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3. Grade 9 · Chapter 363

   Solve a two-direction distance condition · practice 39

   Solve |x − (-4)| = 4.5. Follow the calculation, then test the quantities in the animated example.

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4. Grade 9 · Chapter 364

   Compare repeated growth factors · practice 39

   Start at 2 and apply a -15% change during each of 7 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 365

   Verify an algebraic solution · practice 40

   Solve 3x + (-7) = 11, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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6. Grade 9 · Chapter 366

   Test a complete solution ray · practice 40

   Solve 6x ≤ 1, including the boundary. Follow the calculation, then test the quantities in the animated example.

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7. Grade 9 · Chapter 367

   Interpret signed slope and intercept · practice 37

   For the line y = -3x + (-5), 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 368

   Classify line-system outcomes · practice 40

   Solve the simultaneous equations y = 3x and y = 1x + (5). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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9. Grade 9 · Chapter 369

   Connect symmetry and quadratic values · practice 40

   For y = 2(x − (0))² + (-3), find y at x = 2 and identify the vertex. Follow the calculation, then test the quantities in the animated example.

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10. Grade 9 · Chapter 370

    Explain a binomial area product · practice 40

    Evaluate (x + 8)(x + 8) at x = 2 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 371

    Preserve function-machine order · practice 40

    Let f(u) = 3u + (-5) and g(u) = u². Find f(g(-3)) and g(f(-3)). Follow the calculation, then test the quantities in the animated example.

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12. Grade 9 · Chapter 372

    Solve a two-direction distance condition · practice 40

    Solve |x − (4)| = 1. Follow the calculation, then test the quantities in the animated example.

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13. Grade 9 · Chapter 373

    Compare repeated growth factors · practice 40

    Start at 3 and apply a -20% change during each of 4 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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14. Grade 9 · Chapter 374

    Verify an algebraic solution · practice 41

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

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15. Grade 9 · Chapter 375

    Test a complete solution ray · practice 41

    Solve 8x ≤ 24, including the boundary. Follow the calculation, then test the quantities in the animated example.

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16. Grade 9 · Chapter 376

    Interpret signed slope and intercept · practice 38

    For the line y = -3.5x + (8), 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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17. Grade 9 · Chapter 377

    Classify line-system outcomes · practice 41

    Solve the simultaneous equations y = 0x and y = -2x + (-1). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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18. Grade 9 · Chapter 378

    Connect symmetry and quadratic values · practice 41

    For y = -2(x − (0.5))² + (-1), 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 379

    Explain a binomial area product · practice 41

    Evaluate (x + 3)(x + 7) at x = 5.5 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 380

    Preserve function-machine order · practice 41

    Let f(u) = 2u + (2) 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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