SAT1M1-101112

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means the line rises, negative slope means it falls).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x = 0.

Front

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

Back

To find the solution to a system of linear equations, you can use methods such as substitution, elimination, or graphing. The solution is the point (x, y) where the lines intersect.

Front

What does it mean for a function to have a root?

Back

A root of a function is a value of x for which the function equals zero (f(x) = 0). It represents the x-intercepts of the graph.

Front

What is the degree of a polynomial function?

Back

The degree of a polynomial function is the highest power of the variable in the expression. For example, in f(x) = ax^3 + bx^2 + cx + d, the degree is 3.

Front

What is a cubic function?

Back

A cubic function is a polynomial function of degree three, typically written in the form f(x) = ax^3 + bx^2 + cx + d.

Front

How many roots can a cubic function have?

Back

A cubic function can have one, two, or three real roots, depending on its graph and the nature of its factors.

Front

What is the significance of the coefficients in a polynomial function?

Back

The coefficients in a polynomial function determine the shape and position of the graph. They affect the steepness, direction, and intercepts of the function.

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on the Cartesian plane, where the x-axis represents the independent variable and the y-axis represents the dependent variable.