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Hardy-Weinberg Equilibrium Allele Frequency Calculations

Hardy-Weinberg equilibrium gives population geneticists a mathematical baseline to detect evolutionary change. Mastering the two equations — p + q = 1 and p² + 2pq + q² = 1 — is essential for AP Biology Unit 8 (Ecology) and accounts for multiple AP exam questions annually. These cards build fluency in identifying allele frequencies, spotting when equilibrium is violated, and interpreting what each term represents.

Interactive Deck

5 Cards
1
Front

State the two Hardy-Weinberg equations.

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1
Back

p + q = 1 (allele frequencies sum to 1) and p² + 2pq + q² = 1 (genotype frequencies sum to 1). p = dominant allele frequency; q = recessive allele frequency.

2
Front

In an H-W population, 9% show the recessive phenotype. What is q?

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2
Back

q² = 0.09, so q = 0.30 (√0.09). Then p = 1 − q = 0.70. Always extract q from q² first — the standard AP exam starting point.

3
Front

List the five conditions required for Hardy-Weinberg equilibrium.

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3
Back
  • No mutation
  • No gene flow (no migration)
  • No natural selection (all genotypes equally fit)
  • Random mating
  • Large population size (no genetic drift)
4
Locked

What does the 2pq term represent in the H-W equation?

5
Locked

What does a violation of H-W equilibrium indicate about a population?

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Frequently Asked Questions

How do I calculate heterozygous carrier frequency using Hardy-Weinberg?

Find q = √(q²) from the recessive phenotype frequency, then p = 1 − q. The carrier frequency is 2pq. Example: if q² = 0.01, then q = 0.10, p = 0.90, and 2pq = 0.18 (18% are carriers).

What is the difference between allele frequency and genotype frequency?

Allele frequency is the proportion of a specific allele (p or q) in the gene pool — a single-locus measure. Genotype frequency (p², 2pq, q²) describes the proportion of individuals with a specific allele combination.

Why is a large population required for Hardy-Weinberg equilibrium?

Small populations are subject to genetic drift — random allele frequency changes due to chance sampling. Drift can shift allele frequencies significantly from generation to generation, violating H-W equilibrium even without selection or mutation.