Math 2-Unit 1 Midterm Review Day 1

Front

Simplify the expression: \( n^2 + 4n(10 - 3n) \)

Back

\( -11n^2 + 40n \)

Front

Identify the quadratic function from the following recursive functions: \( f(x) = f(x - 1) + 3x + 2 \), \( f(x) = f(x - 1) + 5 \), \( f(x) = f(x - 1) * 4 \), \( f(x) = f(x - 1) + x^2 + 1 \)

Back

\( f(x) = f(x - 1) + 3x + 2 \)

Front

Simplify the expression: \( 8v(10v - 6) \)

Back

\( 80v^2 - 48v \)

Front

Find all roots of the equation: \( (5x + 1)(x + 4) = 0 \)

Back

\{ -\frac{1}{5}, -4 \}

Front

Simplify the expression: \( 3(7n - 9) \)

Back

\( 21n - 27 \)

Front

What is the definition of a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form \( f(x) = ax^2 + bx + c \) where \( a \neq 0 \).

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is \( ax^2 + bx + c = 0 \).

Front

What is the vertex of a parabola represented by the quadratic function \( f(x) = ax^2 + bx + c \)?

Back

The vertex can be found using the formula \( \left( -\frac{b}{2a}, f\left(-\frac{b}{2a}\right) \right) \).

Front

What is the quadratic formula used for?

Back

The quadratic formula \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) is used to find the roots of a quadratic equation.

Front

What does it mean for a function to be recursive?

Back

A recursive function is one that calls itself in its definition, allowing it to solve problems by breaking them down into smaller, more manageable subproblems.