Algebra 1 Midterm Exam

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

To evaluate f(x) at a specific value, substitute the value into the function and simplify.

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1) for points (x1, y1) and (x2, y2).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How do you convert from Slope-Intercept Form to Point-Slope Form?

Back

To convert, identify the slope (m) and y-intercept (b) from y = mx + b, then use a point on the line (0, b) in the Point-Slope Form.

Front

What is the significance of the coefficients in the equation Ax + By = C?

Back

In the equation Ax + By = C, A and B represent the coefficients that determine the slope and position of the line.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

Front

What is the formula for finding the distance between two points?

Back

The distance d between two points (x1, y1) and (x2, y2) is given by d = √((x2 - x1)² + (y2 - y1)²).