Alg 1 S1 Exam Review 24-25

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a linear function from a table of values?

Back

To find the slope, calculate the change in y (rise) divided by the change in x (run) between two points on the line. Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.

Front

How do you write the explicit formula for an arithmetic sequence?

Back

The explicit formula for an arithmetic sequence can be written as a_n = a_1 + (n - 1)d, where a_1 is the first term, n is the term number, and d is the common difference.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations in the system.

Front

How do you solve a system of equations using substitution?

Back

To solve by substitution, solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.

Front

What are x-intercepts and y-intercepts?

Back

The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is the point where the graph crosses the y-axis (x=0).

Front

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

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

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

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

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.