Alg 1 - Fall 2024 Semester Exam

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean for a system of equations to have no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

How do you find the solution to a system of equations graphically?

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What is the formula for finding the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of the line that passes through the points (10,18) and (-5, -12)?

Back

The slope is 2.

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the definition of a linear function?

Back

A function that can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of the function f(x) = -3x + 3?

Back

The y-intercept is 3.

Front

How do you evaluate a function at a specific point?

Back

Substitute the x-value into the function and simplify to find the corresponding y-value.