CPM Algebra I Semester 1 Review

Front

What is the RANGE of a graph?

Back

The RANGE of a graph is the set of all possible output values (y-values) that a function can produce. It is often represented in interval notation.

Front

What is a linear graph?

Back

A linear graph is a graph that represents a linear equation, which has a constant slope and forms a straight line.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does it mean to simplify an expression with a negative exponent?

Back

To simplify an expression with a negative exponent, you convert it to a positive exponent by taking the reciprocal of the base.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 4)?

Back

The slope is 1, calculated as (4 - 2) / (3 - 1).

Front

What is the difference between the domain and range of a function?

Back

The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values) of a function.

Front

What is the formula for 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 identify a linear function from a set of points?

Back

A linear function will have a constant rate of change between any two points, meaning the slope will be the same.

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

What does it mean to graph a linear equation?

Back

Graphing a linear equation involves plotting points that satisfy the equation and connecting them to form a straight line.