EOC Algebra Review

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, b) in the equation of a line y = mx + b.

Front

Simplify (-4r^5)(2r^8)

Back

-8r^13

Front

Back

The lines are perpendicular.

Front

Simplify the expression (x^3)^6

Back

x^18

Front

Identify the equation represented by the line with a slope of -1 and a y-intercept of 2.

Back

y = -1x + 2

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form 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.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the difference between parallel and perpendicular lines?

Back

Parallel lines have the same slope and never intersect, while perpendicular lines have slopes that are negative reciprocals of each other.