Linear Equation Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that represents 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

How do you write a linear 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 does the slope in a linear equation represent?

Back

The slope represents the rate of change between the two variables in the equation.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept 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 find 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 a music app charges a fixed fee plus a variable fee per song, how would you express the total cost?

Back

Total cost = Fixed fee + (Variable fee per song * Number of songs).

Front

How do you determine the cost per lesson from total costs?

Back

Cost per lesson = Total cost / Number of lessons.

Front

What is the formula to find the time taken to reach the ground if descending at a constant rate?

Back

Time = Initial height / Rate of descent.

Front

How do you set up an equation for total sales from multiple items sold?

Back

Total sales = (Price of item 1 * Quantity of item 1) + (Price of item 2 * Quantity of item 2).

Front

What is the average rate of serving people in a restaurant?

Back

Average rate = Total time taken / Number of people served.