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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

121–140 of 750 matching chapters · Page 7 of 38

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  1. Grade 9 · Chapter 121

    Connect powers and reciprocals · practice 10

    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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  2. Grade 9 · Chapter 122

    Preserve function-machine order · practice 13

    Let f(u) = 3u + (1) 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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  3. Grade 9 · Chapter 123

    Solve a two-direction distance condition · practice 13

    Solve |x − (1)| = 7.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  4. Grade 9 · Chapter 124

    Compare repeated growth factors · practice 13

    Start at 4 and apply a 25% change during each of 4 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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  5. Grade 9 · Chapter 125

    Verify an algebraic solution · practice 14

    Solve 5x + (-9) = -6, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  6. Grade 9 · Chapter 126

    Test a complete solution ray · practice 14

    Solve 2x ≤ -15, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  7. Grade 9 · Chapter 127

    Interpret signed slope and intercept · practice 11

    For the line y = -2.5x + (-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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  8. Grade 9 · Chapter 128

    Classify line-system outcomes · practice 14

    Solve the simultaneous equations y = 2x and y = 0x + (-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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  9. Grade 9 · Chapter 129

    Connect symmetry and quadratic values · practice 14

    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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  10. Grade 9 · Chapter 130

    Explain a binomial area product · practice 14

    Evaluate (x + 5)(x + 8) 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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  11. Grade 9 · Chapter 131

    Connect powers and reciprocals · practice 11

    Evaluate 4 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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  12. Grade 9 · Chapter 132

    Preserve function-machine order · practice 14

    Let f(u) = 2u + (-5) 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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  13. Grade 9 · Chapter 133

    Solve a two-direction distance condition · practice 14

    Solve |x − (-8)| = 4.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  14. Grade 9 · Chapter 134

    Compare repeated growth factors · practice 14

    Start at 5 and apply a 20% 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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  15. Grade 9 · Chapter 135

    Verify an algebraic solution · practice 15

    Solve 4x + (-4) = -18, then check by substitution. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  16. Grade 9 · Chapter 136

    Test a complete solution ray · practice 15

    Solve 4x ≤ 8, including the boundary. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  17. Grade 9 · Chapter 137

    Interpret signed slope and intercept · practice 12

    For the line y = -3x + (7), 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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  18. Grade 9 · Chapter 138

    Classify line-system outcomes · practice 15

    Solve the simultaneous equations y = 3x and y = 0x + (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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  19. Grade 9 · Chapter 139

    Connect symmetry and quadratic values · practice 15

    For y = -0.5(x − (-0.5))² + (3), 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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  20. Grade 9 · Chapter 140

    Explain a binomial area product · practice 15

    Evaluate (x + 3)(x + 5) 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

    Open practice chapter
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