Algebra II A Unit 2

Front

Solve for r: r ≥ -38 and r ≤ 32

Back

The solution indicates that r is bounded between -38 and 32, inclusive.

Front

Solve for z: 11 = 6|-2z| - 5

Back

z = +4/3, -4/3

Front

Determine the transformation: y = -f(x) - 2

Back

The transformation involves a vertical flip and a downward shift of 2 units.

Front

How many solutions does the equation have? -2 = |-w| - 8

Back

The equation has two solutions.

Front

Determine the Range of the function: f(x) = 2x + 2

Back

The range is all real numbers greater than 2.

Front

What is the definition of an absolute value?

Back

The absolute value of a number is its distance from zero on the number line, always non-negative.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

Front

What is the vertex of a parabola in standard form?

Back

The vertex of a parabola in the form y = ax^2 + bx + c can be found using the formula (-b/2a, f(-b/2a)).

Front

What is the quadratic formula?

Back

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

Front

What is a linear inequality?

Back

A linear inequality is an inequality that involves a linear function, often expressed in the form ax + b < c.