#2: Algebra: Concepts and Connections EOC Review

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers (e.g., 1/2, 3), while irrational numbers cannot be expressed as a simple fraction (e.g., √2, π).

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, representing the value of y when x = 0.

Front

What does the x-intercept represent in a graph?

Back

The x-intercept is the point where the graph intersects the x-axis, representing the value of x when y = 0.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where all inequalities overlap.

Front

What is the product of a rational number and an irrational number?

Back

The product of a rational number and an irrational number is always irrational.

Front

How do you find the perimeter of a fenced area?

Back

The perimeter is found by adding the lengths of all sides of the fenced area. For a rectangular area, it is calculated as P = 2(length + width).

Front

What is the significance of the initial height in a candle burning graph?

Back

The initial height represents the starting value of the candle's height before it begins to burn, typically shown as the y-intercept.

Front

What is the cost function for purchasing T-shirts?

Back

The cost function can be represented as C = 16x + 10y, where x is the number of long-sleeve T-shirts and y is the number of short-sleeve T-shirts.