Algebra 2 Midterm Review

Front

What is the square root of -4?

Back

2i

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation and is given by x = (-b ± √(b²-4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B

Front

How many solutions does the equation x² + 4 = 0 have?

Back

0 solutions (since the discriminant is negative).

Tags

CCSS.HSA-REI.B.4B

Front

What is the end behavior of the function -2x^7 + 2x^4 + 4?

Back

As x approaches ±∞, the function approaches -∞.

Front

Factor completely: 2x² + 22x + 60

Back

2(x + 5)(x + 6).

Front

What is the zero product property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean for a function to be even?

Back

A function is even if f(x) = f(-x) for all x in the domain.

Tags

CCSS.HSF.BF.B.3

Front

What does it mean for a function to be odd?

Back

A function is odd if f(-x) = -f(x) for all x in the domain.

Tags

CCSS.HSF.BF.B.3

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, b² - 4ac, which determines the number of solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the vertex form of a quadratic function?

Back

The vertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.