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Grade 9 practice chapters

1. Grade 9 · Chapter 401

   Verify an algebraic solution · practice 44

   Solve 7x + (12) = 44, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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2. Grade 9 · Chapter 402

   Test a complete solution ray · practice 44

   Solve 6x ≤ -4, including the boundary. Follow the calculation, then test the quantities in the animated example.

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3. Grade 9 · Chapter 403

   Interpret signed slope and intercept · practice 41

   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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4. Grade 9 · Chapter 404

   Classify line-system outcomes · practice 44

   Solve the simultaneous equations y = -2x and y = 1.5x + (0). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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5. Grade 9 · Chapter 405

   Connect symmetry and quadratic values · practice 44

   For y = 1(x − (-3))² + (-2), find y at x = 2 and identify the vertex. Follow the calculation, then test the quantities in the animated example.

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6. Grade 9 · Chapter 406

   Explain a binomial area product · practice 44

   Evaluate (x + 2)(x + 7) 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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7. Grade 9 · Chapter 407

   Preserve function-machine order · practice 44

   Let f(u) = 3u + (-4) 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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8. Grade 9 · Chapter 408

   Solve a two-direction distance condition · practice 44

   Solve |x − (-7)| = 2. Follow the calculation, then test the quantities in the animated example.

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9. Grade 9 · Chapter 409

   Compare repeated growth factors · practice 44

   Start at 7 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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10. Grade 9 · Chapter 410

    Verify an algebraic solution · practice 45

    Solve 6x + (-8) = 33, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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11. Grade 9 · Chapter 411

    Test a complete solution ray · practice 45

    Solve 8x ≤ 19, including the boundary. Follow the calculation, then test the quantities in the animated example.

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12. Grade 9 · Chapter 412

    Interpret signed slope and intercept · practice 42

    For the line y = 0.5x + (-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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13. Grade 9 · Chapter 413

    Classify line-system outcomes · practice 45

    Solve the simultaneous equations y = 1.5x and y = -2x + (-6). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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14. Grade 9 · Chapter 414

    Connect symmetry and quadratic values · practice 45

    For y = -1(x − (0.5))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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15. Grade 9 · Chapter 415

    Explain a binomial area product · practice 45

    Evaluate (x + 5)(x + 5) 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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16. Grade 9 · Chapter 416

    Preserve function-machine order · practice 45

    Let f(u) = 2u + (3) and g(u) = u². Find f(g(-2.5)) and g(f(-2.5)). Follow the calculation, then test the quantities in the animated example.

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17. Grade 9 · Chapter 417

    Solve a two-direction distance condition · practice 45

    Solve |x − (1)| = 7. Follow the calculation, then test the quantities in the animated example.

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18. Grade 9 · Chapter 418

    Compare repeated growth factors · practice 45

    Start at 8 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.

    Question · Worked solution · Animated example

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19. Grade 9 · Chapter 419

    Verify an algebraic solution · practice 46

    Solve 5x + (-3) = 21, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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20. Grade 9 · Chapter 420

    Test a complete solution ray · practice 46

    Solve -2x ≤ -6, including the boundary. Follow the calculation, then test the quantities in the animated example.

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