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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

21–40 of 750 matching chapters · Page 2 of 38

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  1. Grade 9 · Chapter 21

    Test a complete solution ray · practice 3

    Solve 4x ≤ 23, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  2. Grade 9 · Chapter 22

    Interpret signed slope and intercept · practice 3

    For the line y = 0x + (3), 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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  3. Grade 9 · Chapter 23

    Classify line-system outcomes · practice 3

    Solve the simultaneous equations y = 0x and y = 3x + (-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
  4. Grade 9 · Chapter 24

    Connect symmetry and quadratic values · practice 3

    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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  5. Grade 9 · Chapter 25

    Explain a binomial area product · practice 3

    Evaluate (x + 2)(x + 4) 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

    Open practice chapter
  6. Grade 9 · Chapter 26

    Preserve function-machine order · practice 3

    Let f(u) = 1u + (-1) and g(u) = u². Find f(g(1)) and g(f(1)). Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  7. Grade 9 · Chapter 27

    Solve a two-direction distance condition · practice 3

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

    Question · Worked solution · Animated example

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  8. Grade 9 · Chapter 28

    Compare repeated growth factors · practice 3

    Start at 4 and apply a -15% 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

    Open practice chapter
  9. Grade 9 · Chapter 29

    Verify an algebraic solution · practice 4

    Solve 7x + (-8) = 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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  10. Grade 9 · Chapter 30

    Test a complete solution ray · practice 4

    Solve -6x ≤ -3, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  11. Grade 9 · Chapter 31

    Interpret signed slope and intercept · practice 4

    For the line y = -1.5x + (0), 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

    Open practice chapter
  12. Grade 9 · Chapter 32

    Classify line-system outcomes · practice 4

    Solve the simultaneous equations y = 1x and y = 3x + (3). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  13. Grade 9 · Chapter 33

    Connect symmetry and quadratic values · practice 4

    For y = 1(x − (-1))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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  14. Grade 9 · Chapter 34

    Explain a binomial area product · practice 4

    Evaluate (x + 8)(x + 8) 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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  15. Grade 9 · Chapter 35

    Connect powers and reciprocals · practice 2

    Evaluate 6 raised to the integer power 2. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  16. Grade 9 · Chapter 36

    Preserve function-machine order · practice 4

    Let f(u) = 4u + (5) 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.

    Question · Worked solution · Animated example

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  17. Grade 9 · Chapter 37

    Solve a two-direction distance condition · practice 4

    Solve |x − (-3)| = 3. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  18. Grade 9 · Chapter 38

    Compare repeated growth factors · practice 4

    Start at 5 and apply a -20% 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

    Open practice chapter
  19. Grade 9 · Chapter 39

    Verify an algebraic solution · practice 5

    Solve 6x + (-3) = 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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  20. Grade 9 · Chapter 40

    Test a complete solution ray · practice 5

    Solve -8x ≤ 20, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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