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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

161–180 of 750 matching chapters · Page 9 of 38

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  1. Grade 9 · Chapter 161

    Connect powers and reciprocals · practice 14

    Evaluate 2 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 162

    Preserve function-machine order · practice 17

    Let f(u) = 3u + (2) and g(u) = u². Find f(g(-2)) and g(f(-2)). Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  3. Grade 9 · Chapter 163

    Solve a two-direction distance condition · practice 17

    Solve |x − (-1)| = 3. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  4. Grade 9 · Chapter 164

    Compare repeated growth factors · practice 17

    Start at 8 and apply a 5% 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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  5. Grade 9 · Chapter 165

    Verify an algebraic solution · practice 18

    Solve 1x + (11) = 27, 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 166

    Test a complete solution ray · practice 18

    Solve 2x ≤ -20, 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 167

    Interpret signed slope and intercept · practice 15

    For the line y = 2.5x + (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

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  8. Grade 9 · Chapter 168

    Classify line-system outcomes · practice 18

    Solve the simultaneous equations y = -2x 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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  9. Grade 9 · Chapter 169

    Connect symmetry and quadratic values · practice 18

    For y = 0.5(x − (-0.5))² + (-1.5), 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 170

    Explain a binomial area product · practice 18

    Evaluate (x + 2)(x + 5) at x = 2.5 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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  11. Grade 9 · Chapter 171

    Connect powers and reciprocals · practice 15

    Evaluate 5 raised to the integer power -1. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  12. Grade 9 · Chapter 172

    Preserve function-machine order · practice 18

    Let f(u) = 2u + (-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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  13. Grade 9 · Chapter 173

    Solve a two-direction distance condition · practice 18

    Solve |x − (7)| = 8. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  14. Grade 9 · Chapter 174

    Compare repeated growth factors · practice 18

    Start at 10 and apply a -5% 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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  15. Grade 9 · Chapter 175

    Verify an algebraic solution · practice 19

    Solve 8x + (-10) = 16, 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 176

    Test a complete solution ray · practice 19

    Solve 4x ≤ 3, 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 177

    Interpret signed slope and intercept · practice 16

    For the line y = 1x + (-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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  18. Grade 9 · Chapter 178

    Classify line-system outcomes · practice 19

    Solve the simultaneous equations y = 1.5x 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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  19. Grade 9 · Chapter 179

    Connect symmetry and quadratic values · practice 19

    For y = -1.5(x − (3))² + (3.5), 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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  20. Grade 9 · Chapter 180

    Explain a binomial area product · practice 19

    Evaluate (x + 3)(x + 8) at x = 1.5 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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10,000 Guided Math Practice Chapters | Math With Amar