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Math With Amar · Guided practice

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Each chapter gives you a distinct mathematical scenario: one question to attempt, a hint, a worked solution, and an animated example you can control.

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A mathematics study workspace connecting graphs, geometry, and problem solving

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Grade labels are starting points; school sequences vary. Advanced chapters assume the prerequisites listed on their pages.

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Grade 9 practice chapters

461–480 of 750 matching chapters · Page 24 of 38

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  1. Grade 9 · Chapter 461

    Solve a two-direction distance condition · practice 49

    Solve |x − (7)| = 7.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  2. Grade 9 · Chapter 462

    Compare repeated growth factors · practice 50

    Start at 3 and apply a 20% 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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  3. Grade 9 · Chapter 463

    Verify an algebraic solution · practice 51

    Solve 8x + (-4) = 43, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  4. Grade 9 · Chapter 464

    Test a complete solution ray · practice 51

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

    Question · Worked solution · Animated example

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  5. Grade 9 · Chapter 465

    Interpret signed slope and intercept · practice 48

    For the line y = 2.5x + (-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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  6. Grade 9 · Chapter 466

    Classify line-system outcomes · practice 51

    Solve the simultaneous equations y = -1.5x 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

    Open practice chapter
  7. Grade 9 · Chapter 467

    Connect symmetry and quadratic values · practice 51

    For y = -1.5(x − (-2.5))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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  8. Grade 9 · Chapter 468

    Explain a binomial area product · practice 51

    Evaluate (x + 3)(x + 5) 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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  9. Grade 9 · Chapter 469

    Preserve function-machine order · practice 51

    Let f(u) = 4u + (4) 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.

    Question · Worked solution · Animated example

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  10. Grade 9 · Chapter 470

    Solve a two-direction distance condition · practice 50

    Solve |x − (-2)| = 4.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  11. Grade 9 · Chapter 471

    Compare repeated growth factors · practice 51

    Start at 4 and apply a 15% 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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  12. Grade 9 · Chapter 472

    Verify an algebraic solution · practice 52

    Solve 7x + (1) = 31, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  13. Grade 9 · Chapter 473

    Test a complete solution ray · practice 52

    Solve 6x ≤ -14, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  14. Grade 9 · Chapter 474

    Interpret signed slope and intercept · practice 49

    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.

    Question · Worked solution · Animated example

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  15. Grade 9 · Chapter 475

    Classify line-system outcomes · practice 52

    Solve the simultaneous equations y = 2x and y = 1.5x + (-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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  16. Grade 9 · Chapter 476

    Connect symmetry and quadratic values · practice 52

    For y = 1(x − (0.5))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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  17. Grade 9 · Chapter 477

    Preserve function-machine order · practice 52

    Let f(u) = 3u + (-2) 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.

    Question · Worked solution · Animated example

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  18. Grade 9 · Chapter 478

    Solve a two-direction distance condition · practice 51

    Solve |x − (6)| = 1. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  19. Grade 9 · Chapter 479

    Compare repeated growth factors · practice 52

    Start at 5 and apply a 10% change during each of 7 complete periods. Find the final amount. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  20. Grade 9 · Chapter 480

    Verify an algebraic solution · practice 53

    Solve 6x + (6) = 19, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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10,000 Guided Math Practice Chapters | Math With Amar