EOC Algebra Review

Front

What is the equation of a projectile's height as a function of time?

Back

h(t) = -4.9t² + vt + h₀, where v is the initial velocity and h₀ is the initial height.

Front

What does the slope of a line represent in a linear function?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What is the Slope Intercept Form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you represent the domain of a function graphically?

Back

The domain can be represented as the set of all possible x-values for which the function is defined.

Front

What is the value of p(11) if p(x) = 5(x² + 1) + 16?

Back

p(11) = 626.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change (straight line), while a quadratic function has a variable rate of change (parabola).

Front

What is the formula for calculating the slope between two points (x₁, y₁) and (x₂, y₂)?

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁).

Front

What does the term 'rate of change' refer to in mathematics?

Back

Rate of change refers to how a quantity changes in relation to another quantity, often represented by the slope.