Algebra 2 CP Review

Front

Solve the system of linear and quadratic equations: y = 5 and y = 2x² - 16x + 29. What are the solutions?

Back

(6, 5) and (2, 5)

Front

What is the parent function of the graph that shows a rational function?

Back

Rational Parent Function

Front

The amusement park charges $20 to get in plus $1.50 per ride. Write the linear equation that represents this relationship.

Back

y = 1.5x + 20

Front

Is the graph showing exponential growth, decay, linear, or none?

Back

Exponential Growth

Front

Does the equation y = 10,000*(0.76)ⁿ show growth or decay?

Back

Decay

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

What does the discriminant of a quadratic equation tell us?

Back

It indicates the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).

Front

What is the formula for the slope of a line?

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁) for two points (x₁, y₁) and (x₂, y₂).

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when the base of the exponent is greater than 1; decay occurs when the base is between 0 and 1.