Linear Equations Word Problem Review

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 calculate the slope of a line?

Back

The slope (m) is calculated as the change in y divided by the change in x: m = (y2 - y1) / (x2 - x1).

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

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 find the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x = 0, which can be found by substituting x = 0 into the equation.

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form Ax + By = C.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario.

Front

How do you set up an equation from a word problem?

Back

Identify the variables, translate the words into mathematical expressions, and set up an equation based on the relationships described.

Front

What is the initial fee in a linear equation context?

Back

The initial fee is a fixed cost that does not change with the number of items sold or hours worked.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using algebraic operations.