Linear Equations Word Problem Review

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 is 0.

Front

How do you write a linear equation from a word problem?

Back

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

Front

What is the formula to calculate the total cost in a linear equation involving fixed and variable costs?

Back

Total Cost = Fixed Cost + (Variable Cost per unit * Number of units)

Front

If Madison spent $96.88 on Netflix and Spotify, how do you set up the equation?

Back

Let x be the number of months for Spotify. The equation is 10.99 * 5 + 5.99x = 96.88.

Front

How do you solve for x in the equation 10.99 * 5 + 5.99x = 96.88?

Back

First, calculate 10.99 * 5 = 54.95. Then, subtract 54.95 from 96.88 to get 41.93. Finally, divide 41.93 by 5.99 to find x.

Front

What is the total fee for a service that charges hourly plus a one-time fee?

Back

Total Fee = Hourly Rate * Hours + One-time Fee.

Front

How do you find the one-time fee if the total fee is known?

Back

Rearrange the equation: One-time Fee = Total Fee - (Hourly Rate * Hours).

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.