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Grade 9 practice chapters

1. Grade 9 · Chapter 281

   Preserve function-machine order · practice 30

   Let f(u) = 2u + (-1) 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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2. Grade 9 · Chapter 282

   Solve a two-direction distance condition · practice 30

   Solve |x − (1)| = 3. Follow the calculation, then test the quantities in the animated example.

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3. Grade 9 · Chapter 283

   Compare repeated growth factors · practice 30

   Start at 2 and apply a 30% change during each of 5 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 284

   Verify an algebraic solution · practice 31

   Solve 4x + (-1) = 36, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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5. Grade 9 · Chapter 285

   Test a complete solution ray · practice 31

   Solve 4x ≤ -12, including the boundary. Follow the calculation, then test the quantities in the animated example.

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6. Grade 9 · Chapter 286

   Interpret signed slope and intercept · practice 28

   For the line y = -0.5x + (4), 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 287

   Classify line-system outcomes · practice 31

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

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8. Grade 9 · Chapter 288

   Connect symmetry and quadratic values · practice 31

   For y = -0.5(x − (0))² + (4), 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 289

   Explain a binomial area product · practice 31

   Evaluate (x + 2)(x + 6) 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 290

    Preserve function-machine order · practice 31

    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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11. Grade 9 · Chapter 291

    Solve a two-direction distance condition · practice 31

    Solve |x − (0)| = 5. Follow the calculation, then test the quantities in the animated example.

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12. Grade 9 · Chapter 292

    Compare repeated growth factors · practice 31

    Start at 3 and apply a 25% 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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13. Grade 9 · Chapter 293

    Verify an algebraic solution · practice 32

    Solve 3x + (4) = 24, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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14. Grade 9 · Chapter 294

    Test a complete solution ray · practice 32

    Solve 6x ≤ 11, including the boundary. Follow the calculation, then test the quantities in the animated example.

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15. Grade 9 · Chapter 295

    Interpret signed slope and intercept · practice 29

    For the line y = -2x + (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 296

    Classify line-system outcomes · practice 32

    Solve the simultaneous equations y = 1.5x and y = -2.5x + (-7). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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17. Grade 9 · Chapter 297

    Connect symmetry and quadratic values · practice 32

    For y = 2(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.

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18. Grade 9 · Chapter 298

    Explain a binomial area product · practice 32

    Evaluate (x + 6)(x + 7) at x = 4 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 299

    Preserve function-machine order · practice 32

    Let f(u) = 4u + (-1) and g(u) = u². Find f(g(0.5)) and g(f(0.5)). Follow the calculation, then test the quantities in the animated example.

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20. Grade 9 · Chapter 300

    Solve a two-direction distance condition · practice 32

    Solve |x − (8)| = 1.5. Follow the calculation, then test the quantities in the animated example.

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