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Grade 11 practice chapters

1. Grade 11 · Chapter 521

   Polynomial roots · First root a=0; Second root b=2.5

   Evaluate at x=0.8. Find the function value, tangent slope, and vertical line of symmetry. Givens: First root a=0; Second root b=2.5.

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2. Grade 11 · Chapter 522

   Rational functions · Numerator a=3; Pole location b=-0.5

   Evaluate at x=2, exactly 2.5 units to the right of the pole. Find the value, derivative, and excluded input. Givens: Numerator a=3; Pole location b=-0.5.

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3. Grade 11 · Chapter 523

   Logarithms and domains · Domain boundary a=1.5; Logarithm base b=4

   Use x=4.58; the logarithm argument is exactly 3.08. State the domain, evaluate the logarithm, and recover the argument by exponentiation. Givens: Domain boundary a=1.5; Logarithm base b=4.

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4. Grade 11 · Chapter 524

   Geometric sums · First term a=4.5; Ratio r=0.5

   Include the first n=8 terms, from ar⁰ through ar⁷. Calculate the finite sum, last included term, and infinite-series limit. Givens: First term a=4.5; Ratio r=0.5.

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5. Grade 11 · Chapter 525

   Complex polar form · Modulus r=3; Final angle (degrees)=45

   Evaluate at the signed angle θ=27° (three fifths of that final angle). Find its real and imaginary components and verify its modulus. Givens: Modulus r=3; Final angle (degrees)=45.

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6. Grade 11 · Chapter 526

   Triangle area and angle · Second side b=1.5; Included angle (degrees)=120

   Use the included angle C=78°. Find the area and the side opposite C. Givens: Second side b=1.5; Included angle (degrees)=120.

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7. Grade 11 · Chapter 527

   Quadratic sequences · Quadratic coefficient a=2; Linear coefficient b=-2.5

   Use index n=6. Calculate u₆, the forward first difference u₇−u₆, and the second difference u₈−2u₇+u₆. Givens: Quadratic coefficient a=2; Linear coefficient b=-2.5.

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8. Grade 11 · Chapter 528

   Rescaling data · Scale a=2; Shift b=-2.5

   Use the completed transformation, at the end of the animation. Find the transformed mean, population variance, and population standard deviation. Givens: Scale a=2; Shift b=-2.5.

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9. Grade 11 · Chapter 529

   Polynomial roots · First root a=0.5; Second root b=3

   Evaluate at x=0.8. Find the function value, tangent slope, and vertical line of symmetry. Givens: First root a=0.5; Second root b=3.

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10. Grade 11 · Chapter 530

    Rational functions · Numerator a=3.5; Pole location b=0

    Evaluate at x=2.5, exactly 2.5 units to the right of the pole. Find the value, derivative, and excluded input. Givens: Numerator a=3.5; Pole location b=0.

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11. Grade 11 · Chapter 531

    Logarithms and domains · Domain boundary a=2; Logarithm base b=4.5

    Use x=5.08; the logarithm argument is exactly 3.08. State the domain, evaluate the logarithm, and recover the argument by exponentiation. Givens: Domain boundary a=2; Logarithm base b=4.5.

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12. Grade 11 · Chapter 532

    Exponential calibration · Initial value a=1.5; Exponential rate b=-0.4

    Evaluate at t=2.4 time units. Find the signal value, tangent slope, and multiplicative change from f(0). Givens: Initial value a=1.5; Exponential rate b=-0.4.

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13. Grade 11 · Chapter 533

    Complex polar form · Modulus r=0.5; Final angle (degrees)=-15

    Evaluate at the signed angle θ=-9° (three fifths of that final angle). Find its real and imaginary components and verify its modulus. Givens: Modulus r=0.5; Final angle (degrees)=-15.

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14. Grade 11 · Chapter 534

    Quadratic sequences · Quadratic coefficient a=-2; Linear coefficient b=0.5

    Use index n=6. Calculate u₆, the forward first difference u₇−u₆, and the second difference u₈−2u₇+u₆. Givens: Quadratic coefficient a=-2; Linear coefficient b=0.5.

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15. Grade 11 · Chapter 535

    Rescaling data · Scale a=-2; Shift b=0.5

    Use the completed transformation, at the end of the animation. Find the transformed mean, population variance, and population standard deviation. Givens: Scale a=-2; Shift b=0.5.

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16. Grade 11 · Chapter 536

    Polynomial roots · First root a=-3; Second root b=0

    Evaluate at x=0.8. Find the function value, tangent slope, and vertical line of symmetry. Givens: First root a=-3; Second root b=0.

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17. Grade 11 · Chapter 537

    Rational functions · Numerator a=4; Pole location b=0.5

    Evaluate at x=3, exactly 2.5 units to the right of the pole. Find the value, derivative, and excluded input. Givens: Numerator a=4; Pole location b=0.5.

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18. Grade 11 · Chapter 538

    Logarithms and domains · Domain boundary a=-2; Logarithm base b=5

    Use x=1.08; the logarithm argument is exactly 3.08. State the domain, evaluate the logarithm, and recover the argument by exponentiation. Givens: Domain boundary a=-2; Logarithm base b=5.

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19. Grade 11 · Chapter 539

    Exponential calibration · Initial value a=2; Exponential rate b=-0.3

    Evaluate at t=2.4 time units. Find the signal value, tangent slope, and multiplicative change from f(0). Givens: Initial value a=2; Exponential rate b=-0.3.

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20. Grade 11 · Chapter 540

    Geometric sums · First term a=1; Ratio r=-0.1

    Include the first n=8 terms, from ar⁰ through ar⁷. Calculate the finite sum, last included term, and infinite-series limit. Givens: First term a=1; Ratio r=-0.1.

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