algebra first semester review

Front

What is the value of x in the solution to the system of equations?

Back

5/3

Front

Which equation is an equation of the line that passes through the point (1, -3) and has a slope of 2/3?

Back

y + 3 = 2/3(x - 1)

Front

What is the definition of a system of equations with no solution?

Back

A system of equations with no solution occurs when the lines represented by the equations are parallel and never intersect.

Front

What is the domain of a function?

Back

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

Front

What is the equivalent inequality for 7x - 2y > 8?

Back

2y < 7x - 8.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

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 equation y = mx + b.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.