Alg - U3-LT7 - Writing Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x = 0.

Front

How do you write an equation from a word problem?

Back

Identify the quantities involved, assign variables, and translate the relationships and conditions into a mathematical equation.

Front

In the equation 35 + 0.75m = 222.50, what does 'm' represent?

Back

In this equation, 'm' represents the number of miles driven.

Front

What is the first step to solve the equation 20 - 3m = 8?

Back

The first step is to isolate the variable term by subtracting 20 from both sides of the equation.

Front

How can you determine the total cost in a rental situation?

Back

The total cost can be determined by adding the fixed cost to the variable cost, which is based on usage.

Front

What does the equation 5 + 3m = 44 represent in a growth scenario?

Back

This equation represents the initial height of a plant (5 cm) plus the growth over 'm' months (3 cm per month) equaling the current height (44 cm).

Front

How do you find the number of months in a billing problem?

Back

To find the number of months, set up an equation that includes the fixed fee and the monthly charge, then solve for the variable representing months.

Front

What is the significance of the setup fee in a billing equation?

Back

The setup fee is a fixed cost that must be added to the total variable costs incurred over time.