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Mathematical Requirements (Appendix C)

Algebra and Magnification: Substituting Values, Solving Equations and Using Logarithms

  • 3 things to know
  • All units

Overview

Recall questions on Substituting Values, Solving Equations and Using Logarithms.

What you need to know

Answer each one before you reveal it.

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Key term

Why should units be written down at every step when substituting into an equation?

Numbers

Why is the point halfway between 10³ and 10⁴ on a logarithmic axis not 5.5 × 10³?

Key term

State the two equations used in the Hardy-Weinberg principle.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    A cardiac output of 4.8 dm³ min⁻¹ is measured at a heart rate of 60 beats per minute. Calculate the stroke volume.

    Model answer

    Rearranging gives stroke volume = 4800 ÷ 60 = 80 cm³.

  2. 2

    State the two equations used in the Hardy-Weinberg principle.

    Model answer

    The allele frequencies satisfy p + q = 1, and the genotype frequencies satisfy p² + 2pq + q² = 1.

  3. 3

    The frequency of the homozygous recessive genotype in a population is 0.04. Calculate the percentage of heterozygotes.

    Model answer

    Since q² = 0.04, q = 0.2 and p = 0.8, so 2pq = 0.32 and 32% of the population are heterozygous.

  4. 4

    How are water potential, solute potential and pressure potential related?

    Model answer

    Water potential equals solute potential plus pressure potential.

  5. 5

    A cell has a water potential of −800 kPa and a solute potential of −1200 kPa. Calculate its pressure potential.

    Model answer

    Rearranging gives pressure potential = −800 − (−1200) = +400 kPa.

  6. 6

    How is net production related to gross production?

    Model answer

    Net production equals gross production minus the energy lost in respiration.

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Chemical Elements Are Joined Together to Form Biological Compounds
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A zygote.
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Mitosis is division of the nucleus.
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Every question in Mathematical Requirements (Appendix C), on a schedule.

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