Writing Equations from Word Problems

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 (m) 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 does the y-intercept in a linear equation represent?

Back

The y-intercept (b) is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

How do you write an equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.

Front

What is the equation for Bob's Plumbing service charge?

Back

Front

How do you represent a situation where something is increasing over time?

Back

Use a linear equation with a positive slope, indicating that the value increases as time (x) increases.

Front

What is the equation for the height of a balloon rising at a steady rate?

Back

Front

What does depreciation mean in a financial context?

Back

Depreciation refers to the reduction in the value of an asset over time, often due to wear and tear.

Front

What is the equation for Tim's computer depreciation?

Back

Front

How do you represent savings that increase over time?

Back

Use a linear equation with a positive slope, indicating that the total savings increase as time (x) increases.