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Grade 9 practice chapters

1. Grade 9 · Chapter 341

   Classify line-system outcomes · practice 37

   Solve the simultaneous equations y = -2.5x and y = -2x + (-4). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

   Question · Worked solution · Animated example

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2. Grade 9 · Chapter 342

   Connect symmetry and quadratic values · practice 37

   For y = -1(x − (-3))² + (-1.5), 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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3. Grade 9 · Chapter 343

   Explain a binomial area product · practice 37

   Evaluate (x + 1)(x + 1) 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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4. Grade 9 · Chapter 344

   Preserve function-machine order · practice 37

   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.

   Question · Worked solution · Animated example

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5. Grade 9 · Chapter 345

   Solve a two-direction distance condition · practice 37

   Solve |x − (-3)| = 2.5. Follow the calculation, then test the quantities in the animated example.

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6. Grade 9 · Chapter 346

   Compare repeated growth factors · practice 37

   Start at 10 and apply a -10% change during each of 5 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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7. Grade 9 · Chapter 347

   Verify an algebraic solution · practice 38

   Solve 5x + (8) = 34, then check by substitution. Follow the calculation, then test the quantities in the animated example.

   Question · Worked solution · Animated example

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8. Grade 9 · Chapter 348

   Test a complete solution ray · practice 38

   Solve -2x ≤ 4, including the boundary. Follow the calculation, then test the quantities in the animated example.

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9. Grade 9 · Chapter 349

   Interpret signed slope and intercept · practice 35

   For the line y = 0x + (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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10. Grade 9 · Chapter 350

    Classify line-system outcomes · practice 38

    Solve the simultaneous equations y = -1.5x and y = -2x + (4). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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11. Grade 9 · Chapter 351

    Connect symmetry and quadratic values · practice 38

    For y = 1.5(x − (0))² + (3.5), 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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12. Grade 9 · Chapter 352

    Explain a binomial area product · practice 38

    Evaluate (x + 4)(x + 7) at x = 5 by finding all four rectangle-area parts. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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13. Grade 9 · Chapter 353

    Preserve function-machine order · practice 38

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

    Question · Worked solution · Animated example

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14. Grade 9 · Chapter 354

    Solve a two-direction distance condition · practice 38

    Solve |x − (5)| = 7.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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15. Grade 9 · Chapter 355

    Compare repeated growth factors · practice 38

    Start at 1 and apply a -10% change during each of 2 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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16. Grade 9 · Chapter 356

    Verify an algebraic solution · practice 39

    Solve 4x + (-12) = 23, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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17. Grade 9 · Chapter 357

    Test a complete solution ray · practice 39

    Solve 4x ≤ -22, including the boundary. Follow the calculation, then test the quantities in the animated example.

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18. Grade 9 · Chapter 358

    Interpret signed slope and intercept · practice 36

    For the line y = -1.5x + (-2), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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19. Grade 9 · Chapter 359

    Classify line-system outcomes · practice 39

    Solve the simultaneous equations y = 2x and y = 1x + (-3). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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20. Grade 9 · Chapter 360

    Connect symmetry and quadratic values · practice 39

    For y = -0.5(x − (-3))² + (0.5), 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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