Algebra 1H - Module 1 Review Flashcard

Front

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

Back

The point-slope form of a linear equation is given by the formula: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you convert a linear equation from slope-intercept form to point-slope form?

Back

To convert from slope-intercept form (y = mx + b) to point-slope form (y - y_1 = m(x - x_1)), identify a point (x_1, y_1) on the line and use the slope m.

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 or negative).

Front

What is interval notation?

Back

Interval notation is a way of representing a range of values on a number line. It uses brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.

Front

How do you find the product of two binomials?

Back

To find the product of two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last. For example, (a + b)(c + d) = ac + ad + bc + bd.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula: P = 2(length + width).

Front

How do you set up an equation for a word problem involving perimeter?

Back

Identify the variables for the dimensions, express the perimeter in terms of these variables, and set the equation equal to the given perimeter.

Front

What is the difference between a linear equation and a quadratic equation?

Back

A linear equation has the form y = mx + b and represents a straight line, while a quadratic equation has the form y = ax^2 + bx + c and represents a parabola.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if its output values fall as the input values increase.

Front

How do you interpret the slope in a real-world context?

Back

In a real-world context, the slope can represent rates, such as speed (distance over time) or cost per item (total cost over number of items).