Algebra Practice

What is the definition of a linear function?

• A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

• A linear function is a function that produces a parabolic graph, typically in the form f(x) = ax^2 + bx + c.

• A linear function is a function that has a constant rate of change and can be represented by a quadratic equation.

• A linear function is a function that oscillates between two values, typically in the form f(x) = sin(x).

How do you find the x- and y-intercepts of a graph?

• The x-intercept is found by setting y=0 and solving for x. The y-intercept is found by setting x=0 and solving for y.

• The x-intercept is found by setting x=0 and solving for y. The y-intercept is found by setting y=0 and solving for x.

• The x-intercept is found by finding the maximum point of the graph. The y-intercept is found by finding the minimum point of the graph.

• The x-intercept is found by evaluating the function at x=1. The y-intercept is found by evaluating the function at y=1.

What is the product of (m-8)(m-9)?

• m^2 - 15m + 72

• m^2 - 17m + 72

• m^2 - 17m + 64

• m^2 - 17m + 81

What is the definition of a system of equations?

• A system of equations is a set of two or more equations with the same variables.

• A system of equations is a single equation with multiple variables.

• A system of equations is a collection of unrelated equations.

• A system of equations is a method for solving quadratic equations.

What is the quadratic formula?

• x = (-b ± √(b² - 4ac)) / (2a)

• x = (b ± √(b² + 4ac)) / (2a)

• x = (-b ± √(b² + 4ac)) / (2a)

• x = (b ± √(b² - 4ac)) / (2a)

What is the standard form of a linear equation?

• Ax + By = C, where A, B, and C are integers.

• y = mx + b, where m is the slope and b is the y-intercept.

• Ax^2 + Bx + C = 0, which is the standard form of a quadratic equation.

• y = kx, which represents a direct variation.

What is the difference between a function and a relation?

• A function is a specific type of relation where each input has exactly one output.

• A function can have multiple outputs for a single input.

• A relation is always a function if it has at least one input.

• A function is a collection of ordered pairs without any restrictions.

What is the vertex of a parabola?

• The point where the parabola intersects the x-axis.

• The highest or lowest point of a parabola, depending on its orientation.

• The distance between the focus and the directrix of the parabola.

• The line that divides the parabola into two symmetrical halves.

What is the y-intercept of a line?

• The point where the line crosses the x-axis.

• The point where the line crosses the y-axis. It is represented as (0, y).

• The slope of the line at the origin.

• The distance from the origin to the line.

How do you evaluate a function f(x) at a specific value?

• Substitute the value into the function and simplify.

• Multiply the function by the value.

• Add the value to the function's output.

• Differentiate the function with respect to the value.