Front

What is the process of simplifying an expression by combining like terms?

Back

To simplify an expression by combining like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is the definition of the rate of change in mathematics?

Back

The rate of change refers to how much a quantity changes in relation to another quantity, often represented as the slope in a linear equation.

Front

How do you find the zero of a linear function?

Back

To find the zero of a linear function, set the function equal to zero and solve for the variable.

Front

In the equation y=mx+b, what does 'm' represent?

Back

In the equation y=mx+b, 'm' represents the slope of the line, indicating the steepness and direction of the line.

Front

In the equation y=mx+b, what does 'b' represent?

Back

In the equation y=mx+b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined through addition or subtraction.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable, showing how steep the line is.

Front

How can you determine the slope from two points on a line?

Back

The slope can be determined using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, characterized by a constant rate of change.

Front

What is the formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.