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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

141–160 of 750 matching chapters · Page 8 of 38

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  1. Grade 9 · Chapter 141

    Connect powers and reciprocals · practice 12

    Evaluate 5 raised to the integer power -3. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  2. Grade 9 · Chapter 142

    Preserve function-machine order · practice 15

    Let f(u) = 1u + (2) 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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  3. Grade 9 · Chapter 143

    Solve a two-direction distance condition · practice 15

    Solve |x − (0)| = 1. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  4. Grade 9 · Chapter 144

    Compare repeated growth factors · practice 15

    Start at 6 and apply a 15% 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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  5. Grade 9 · Chapter 145

    Verify an algebraic solution · practice 16

    Solve 3x + (1) = 51, 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 146

    Test a complete solution ray · practice 16

    Solve -6x ≤ -18, 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 147

    Interpret signed slope and intercept · practice 13

    For the line y = -4x + (-9), 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 148

    Classify line-system outcomes · practice 16

    Solve the simultaneous equations y = 0x 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

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  9. Grade 9 · Chapter 149

    Connect symmetry and quadratic values · practice 16

    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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  10. Grade 9 · Chapter 150

    Explain a binomial area product · practice 16

    Evaluate (x + 1)(x + 2) 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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  11. Grade 9 · Chapter 151

    Connect powers and reciprocals · practice 13

    Evaluate 3 raised to the integer power 3. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  12. Grade 9 · Chapter 152

    Preserve function-machine order · practice 16

    Let f(u) = 4u + (-5) 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 153

    Solve a two-direction distance condition · practice 16

    Solve |x − (8)| = 6. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  14. Grade 9 · Chapter 154

    Compare repeated growth factors · practice 16

    Start at 7 and apply a 10% 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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  15. Grade 9 · Chapter 155

    Verify an algebraic solution · practice 17

    Solve 2x + (6) = 39, 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 156

    Test a complete solution ray · practice 17

    Solve -8x ≤ 5, 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 157

    Interpret signed slope and intercept · practice 14

    For the line y = 4x + (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 158

    Classify line-system outcomes · practice 17

    Solve the simultaneous equations y = 1x 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

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  19. Grade 9 · Chapter 159

    Connect symmetry and quadratic values · practice 17

    For y = -2(x − (3))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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  20. Grade 9 · Chapter 160

    Explain a binomial area product · practice 17

    Evaluate (x + 4)(x + 8) at x = 1 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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