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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

1–20 of 750 matching chapters · Page 1 of 38

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  1. Grade 9 · Chapter 1

    Verify an algebraic solution · practice 1

    Solve 2x + (3) = -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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  2. Grade 9 · Chapter 2

    Test a complete solution ray · practice 1

    Solve 8x ≤ -24, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  3. Grade 9 · Chapter 3

    Interpret signed slope and intercept · practice 1

    For the line y = 1.5x + (6), 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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  4. Grade 9 · Chapter 4

    Classify line-system outcomes · practice 1

    Solve the simultaneous equations y = -0.5x and y = 3x + (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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  5. Grade 9 · Chapter 5

    Connect symmetry and quadratic values · practice 1

    For y = -2(x − (2.5))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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  6. Grade 9 · Chapter 6

    Explain a binomial area product · practice 1

    Evaluate (x + 1)(x + 1) 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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  7. Grade 9 · Chapter 7

    Preserve function-machine order · practice 1

    Let f(u) = 3u + (-2) 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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  8. Grade 9 · Chapter 8

    Solve a two-direction distance condition · practice 1

    Solve |x − (7)| = 4. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  9. Grade 9 · Chapter 9

    Compare repeated growth factors · practice 1

    Start at 2 and apply a -5% change during each of 1 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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  10. Grade 9 · Chapter 10

    Verify an algebraic solution · practice 2

    Solve 1x + (8) = 54, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  11. Grade 9 · Chapter 11

    Test a complete solution ray · practice 2

    Solve 2x ≤ 0, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  12. Grade 9 · Chapter 12

    Interpret signed slope and intercept · practice 2

    For the line y = 0.5x + (-10), 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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  13. Grade 9 · Chapter 13

    Classify line-system outcomes · practice 2

    Solve the simultaneous equations y = 3x and y = -0.5x + (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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  14. Grade 9 · Chapter 14

    Connect symmetry and quadratic values · practice 2

    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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  15. Grade 9 · Chapter 15

    Explain a binomial area product · practice 2

    Evaluate (x + 4)(x + 7) at x = 2 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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  16. Grade 9 · Chapter 16

    Connect powers and reciprocals · practice 1

    Evaluate 2 raised to the integer power 4. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  17. Grade 9 · Chapter 17

    Preserve function-machine order · practice 2

    Let f(u) = 2u + (5) and g(u) = u². Find f(g(4)) and g(f(4)). Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  18. Grade 9 · Chapter 18

    Solve a two-direction distance condition · practice 2

    Solve |x − (-2)| = 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 19

    Compare repeated growth factors · practice 2

    Start at 3 and apply a -10% 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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  20. Grade 9 · Chapter 20

    Verify an algebraic solution · practice 3

    Solve 8x + (12) = 42, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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