Writing Linear Equations & Expressions from Word Problems HST

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

Front

How do you identify the constant in a word problem involving linear equations?

Back

The constant is the fixed amount that does not change, often represented as the initial value or starting point in a scenario.

Front

What is the difference between a rate and a constant in a linear equation?

Back

A rate indicates how much one quantity changes in relation to another (slope), while a constant is a fixed value that does not change.

Front

How can you represent a word problem as a linear equation?

Back

Identify the variables, determine the rate of change, and establish the initial value to form the equation in the form y = mx + b.

Front

What is the formula to calculate total cost in a subscription service?

Back

Total Cost = Initial Fee + (Monthly Fee × Number of Months).

Front

How do you convert a word problem into an expression?

Back

Identify the quantities involved, determine the operations needed (addition, multiplication), and write the expression accordingly.

Front

What does the term 'negative reviews' imply in a linear relationship?

Back

It suggests that as the number of attendees increases, the number of negative reviews decreases, indicating a negative correlation.

Front

What is the significance of the equation y = mx + b in real-world applications?

Back

This equation models relationships between variables, allowing predictions and analysis of trends in various contexts.