Algebra 1A Cumulative Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the rise over run between two points on the line.

Front

How do you solve for 'b' in the equation 10 = 2 - 6b + 14?

Back

To solve for 'b', first simplify the equation: 10 = 16 - 6b. Then, isolate 'b': 6b = 16 - 10, so 6b = 6, and b = 1.

Front

What is the equation of a line that is vertical?

Back

The equation of a vertical line is in the form x = a, where 'a' is the x-coordinate of any point on the line.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form, combining like terms and eliminating any unnecessary components, such as negative exponents.

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet or intersect, having the same slope but different y-intercepts.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

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

Back

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

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form Ax + By = C.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.