Algebra 1 STAAR EOC Review Flashcardizz

Front

What is the axis of symmetry of a parabola?

Back

The axis of symmetry of a parabola is a vertical line that divides the parabola into two mirror-image halves. For the parabola given by the equation y = ax^2 + bx + c, the axis of symmetry can be found using the formula x = -b/(2a).

Front

How do you find the slope of a line given two points?

Back

The slope (m) of a line through two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means it rises, negative slope means it falls).

Front

What is a linear inequality?

Back

A linear inequality is an inequality that involves a linear function. It can be written in the form ax + by < c, ax + by ≤ c, ax + by > c, or ax + by ≥ c.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a solid line (for ≤ or ≥) or a dashed line (for < or >). Then, shade the region that satisfies the inequality.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value). A relation can have multiple outputs for a single input.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept of a linear equation is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, often represented by the equation y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is time.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.