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Grade 9 practice chapters

1. Grade 9 · Chapter 421

   Interpret signed slope and intercept · practice 43

   For the line y = -1x + (-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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2. Grade 9 · Chapter 422

   Classify line-system outcomes · practice 46

   Solve the simultaneous equations y = -1x and y = 1.5x + (8). 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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3. Grade 9 · Chapter 423

   Connect symmetry and quadratic values · practice 46

   For y = 1.5(x − (-3))² + (0), 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 424

   Explain a binomial area product · practice 46

   Evaluate (x + 6)(x + 8) at x = 3 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 425

   Preserve function-machine order · practice 46

   Let f(u) = 1u + (-3) 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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6. Grade 9 · Chapter 426

   Solve a two-direction distance condition · practice 46

   Solve |x − (-8)| = 4. Follow the calculation, then test the quantities in the animated example.

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7. Grade 9 · Chapter 427

   Compare repeated growth factors · practice 46

   Start at 9 and apply a 35% change during each of 1 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 428

   Verify an algebraic solution · practice 47

   Solve 4x + (2) = 9, then check by substitution. Follow the calculation, then test the quantities in the animated example.

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9. Grade 9 · Chapter 429

   Test a complete solution ray · practice 47

   Solve -4x ≤ 17, including the boundary. Follow the calculation, then test the quantities in the animated example.

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10. Grade 9 · Chapter 430

    Interpret signed slope and intercept · practice 44

    For the line y = -1.5x + (8), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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11. Grade 9 · Chapter 431

    Classify line-system outcomes · practice 47

    Solve the simultaneous equations y = 2.5x and y = -2x + (2). 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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12. Grade 9 · Chapter 432

    Connect symmetry and quadratic values · practice 47

    For y = -0.5(x − (0.5))² + (-3.5), find y at x = 2 and identify the vertex. Follow the calculation, then test the quantities in the animated example.

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13. Grade 9 · Chapter 433

    Explain a binomial area product · practice 47

    Evaluate (x + 1)(x + 7) at x = 1 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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14. Grade 9 · Chapter 434

    Preserve function-machine order · practice 47

    Let f(u) = 4u + (3) 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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15. Grade 9 · Chapter 435

    Solve a two-direction distance condition · practice 47

    Solve |x − (0)| = 0.5. Follow the calculation, then test the quantities in the animated example.

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16. Grade 9 · Chapter 436

    Compare repeated growth factors · practice 47

    Start at 10 and apply a 30% change during each of 6 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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17. Grade 9 · Chapter 437

    Verify an algebraic solution · practice 48

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

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18. Grade 9 · Chapter 438

    Test a complete solution ray · practice 48

    Solve 6x ≤ -9, including the boundary. Follow the calculation, then test the quantities in the animated example.

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19. Grade 9 · Chapter 439

    Interpret signed slope and intercept · practice 45

    For the line y = -2.5x + (-8), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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20. Grade 9 · Chapter 440

    Classify line-system outcomes · practice 48

    Solve the simultaneous equations y = -0.5x and y = 1.5x + (-5). 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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