Semester 2 Review Algebra Day 2

Front

What is the intersection of sets A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5}?

Back

A ⋂ B = {1, 2, 3, 5}

Front

What is the probability P(A) if a spinner has 8 equal sections and 3 of them are labeled A?

Back

P(A) = \frac{3}{8}

Front

Factor the quadratic expression: 3x^2 + 15x - 72.

Back

3(x + 8)(x - 3)

Front

How many solutions does the quadratic equation x^2 + 8x + 16 have?

Back

1 solution (it is a perfect square)

Front

What is the equation that models the decay of a flea medicine that breaks down at a rate of 20% per hour with an initial dose of 60 mg?

Back

y = 60(0.8)^x

Front

Define the intersection of two sets.

Back

The intersection of two sets A and B is the set of elements that are common to both A and B.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax^2 + bx + c = 0.

Front

What does it mean for a quadratic equation to have 2 real solutions?

Back

It means the graph of the equation intersects the x-axis at two distinct points.

Front

What is the formula for the probability of an event?

Back

P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}

Front

What is the decay factor in exponential decay?

Back

The decay factor is the percentage of the quantity that remains after each time period, expressed as a decimal.