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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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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

441–460 of 750 matching chapters · Page 23 of 38

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  1. Grade 9 · Chapter 441

    Connect symmetry and quadratic values · practice 48

    For y = 2(x − (-3))² + (2), 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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  2. Grade 9 · Chapter 442

    Explain a binomial area product · practice 48

    Evaluate (x + 4)(x + 5) at x = 4.5 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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  3. Grade 9 · Chapter 443

    Preserve function-machine order · practice 48

    Let f(u) = 3u + (-3) 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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  4. Grade 9 · Chapter 444

    Solve a two-direction distance condition · practice 48

    Solve |x − (8)| = 5.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  5. Grade 9 · Chapter 445

    Compare repeated growth factors · practice 48

    Start at 1 and apply a 30% change during each of 3 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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  6. Grade 9 · Chapter 446

    Verify an algebraic solution · practice 49

    Solve 2x + (12) = -15, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  7. Grade 9 · Chapter 447

    Test a complete solution ray · practice 49

    Solve 8x ≤ 14, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  8. Grade 9 · Chapter 448

    Interpret signed slope and intercept · practice 46

    For the line y = -3x + (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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  9. Grade 9 · Chapter 449

    Classify line-system outcomes · practice 49

    Solve the simultaneous equations y = 0.5x and y = 1.5x + (3). 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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  10. Grade 9 · Chapter 450

    Connect symmetry and quadratic values · practice 49

    For y = -2(x − (-2.5))² + (4), 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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  11. Grade 9 · Chapter 451

    Explain a binomial area product · practice 49

    Evaluate (x + 2)(x + 2) at x = 6 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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  12. Grade 9 · Chapter 452

    Preserve function-machine order · practice 49

    Let f(u) = 2u + (4) 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.

    Question · Worked solution · Animated example

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  13. Grade 9 · Chapter 453

    Compare repeated growth factors · practice 49

    Start at 2 and apply a 25% 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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  14. Grade 9 · Chapter 454

    Verify an algebraic solution · practice 50

    Solve 1x + (-8) = 55, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  15. Grade 9 · Chapter 455

    Test a complete solution ray · practice 50

    Solve -2x ≤ -11, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  16. Grade 9 · Chapter 456

    Interpret signed slope and intercept · practice 47

    For the line y = 4x + (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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  17. Grade 9 · Chapter 457

    Classify line-system outcomes · practice 50

    Solve the simultaneous equations y = -2.5x and y = -1.5x + (-3). 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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  18. Grade 9 · Chapter 458

    Connect symmetry and quadratic values · practice 50

    For y = 0.5(x − (0.5))² + (0.5), 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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  19. Grade 9 · Chapter 459

    Explain a binomial area product · practice 50

    Evaluate (x + 5)(x + 8) at x = 3.5 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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  20. Grade 9 · Chapter 460

    Preserve function-machine order · practice 50

    Let f(u) = 1u + (-2) 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.

    Question · Worked solution · Animated example

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10,000 Guided Math Practice Chapters | Math With Amar