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Grade 9 practice chapters

1. Grade 9 · Chapter 561

   Interpret signed slope and intercept · practice 59

   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.

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2. Grade 9 · Chapter 562

   Classify line-system outcomes · practice 62

   Solve the simultaneous equations y = 0.5x and y = 2x + (4). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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3. Grade 9 · Chapter 563

   Connect symmetry and quadratic values · practice 62

   For y = 1.5(x − (-2.5))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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4. Grade 9 · Chapter 564

   Explain a binomial area product · practice 60

   Evaluate (x + 4)(x + 6) at x = 3.5 by finding all four rectangle-area parts. Follow the calculation, then test the quantities in the animated example.

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5. Grade 9 · Chapter 565

   Preserve function-machine order · practice 62

   Let f(u) = 4u + (-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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6. Grade 9 · Chapter 566

   Solve a two-direction distance condition · practice 60

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

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7. Grade 9 · Chapter 567

   Compare repeated growth factors · practice 62

   Start at 6 and apply a -40% change during each of 6 complete periods. Find the final amount. Follow the calculation, then test the quantities in the animated example.

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8. Grade 9 · Chapter 568

   Verify an algebraic solution · practice 63

   Solve 4x + (5) = -18, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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9. Grade 9 · Chapter 569

   Interpret signed slope and intercept · practice 60

   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.

   Question · Worked solution · Animated example

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10. Grade 9 · Chapter 570

    Classify line-system outcomes · practice 63

    Solve the simultaneous equations y = -2.5x and y = -1x + (-2). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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11. Grade 9 · Chapter 571

    Connect symmetry and quadratic values · practice 63

    For y = -0.5(x − (1))² + (-2.5), 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 572

    Explain a binomial area product · practice 61

    Evaluate (x + 2)(x + 3) at x = 5 by finding all four rectangle-area parts. Follow the calculation, then test the quantities in the animated example.

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13. Grade 9 · Chapter 573

    Preserve function-machine order · practice 63

    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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14. Grade 9 · Chapter 574

    Solve a two-direction distance condition · practice 61

    Solve |x − (0)| = 4.5. Follow the calculation, then test the quantities in the animated example.

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15. Grade 9 · Chapter 575

    Compare repeated growth factors · practice 63

    Start at 7 and apply a 40% change during each of 2 complete periods. Find the final amount. Follow the calculation, then test the quantities in the animated example.

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16. Grade 9 · Chapter 576

    Verify an algebraic solution · practice 64

    Solve 3x + (10) = 51, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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17. Grade 9 · Chapter 577

    Test a complete solution ray · practice 63

    Solve -6x ≤ 20, including the boundary. Follow the calculation, then test the quantities in the animated example.

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18. Grade 9 · Chapter 578

    Interpret signed slope and intercept · practice 61

    For the line y = -3.5x + (-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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19. Grade 9 · Chapter 579

    Classify line-system outcomes · practice 64

    Solve the simultaneous equations y = -1.5x and y = -1x + (6). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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20. Grade 9 · Chapter 580

    Connect symmetry and quadratic values · practice 64

    For y = 2(x − (-2.5))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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