Algebra Review

Front

What is an ordered pair in a coordinate system?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, represented as (x, y).

Front

How do you determine if an ordered pair is a solution to a system of inequalities?

Back

Substitute the x and y values of the ordered pair into each inequality. If both inequalities are satisfied, the ordered pair is a solution.

Front

What is a linear regression equation?

Back

A linear regression equation models the relationship between two variables by fitting a linear equation to observed data.

Front

What is the formula for calculating the average rate of change?

Back

Average rate of change = (f(b) - f(a)) / (b - a), where [a, b] is the interval.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What does it mean to eliminate a variable in a system of equations?

Back

To eliminate a variable means to manipulate the equations so that one variable is removed, allowing for easier solving of the remaining variable.

Front

What are opposite signs in the context of solving equations?

Back

Opposite signs refer to numbers that have different signs, such as positive and negative, which can be used to eliminate variables when adding or subtracting equations.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables (positive slope means increasing, negative slope means decreasing).

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, and A should be non-negative.