Midterm Exam Review

Front

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

Back

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

Front

How do you convert a standard form equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

Front

What is the result of subtracting two polynomials?

Back

The result of subtracting two polynomials is obtained by subtracting the coefficients of like terms.

Front

How do you calculate the total cost from a linear equation?

Back

To calculate the total cost from a linear equation like y = mx + b, substitute the value of x (quantity) into the equation.

Front

What is the product of two exponential expressions with the same base?

Back

Front

What is the difference between standard form and slope-intercept form of a linear equation?

Back

Standard form is written as Ax + By = C, while slope-intercept form is written as y = mx + b, focusing on the slope and y-intercept.

Front

How do you find the slope of a line given two points?

Back

The slope (m) of a line given two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What is the process for simplifying an expression involving polynomials?

Back

To simplify an expression involving polynomials, combine like terms by adding or subtracting their coefficients.

Front

How do you evaluate a linear equation for a specific value of x?

Back

To evaluate a linear equation for a specific value of x, substitute that value into the equation and solve for y.