Linear 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 represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.

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 write an equation from a word problem?

Back

Identify the quantities involved, assign variables to them, and express the relationships using mathematical operations to form an equation.

Front

If a family drinks 5 bottles of water per day from a case of 48 bottles, how do you represent the number of bottles left after x days?

Back

y = 48 - 5x, where y is the number of bottles left.

Front

How do you represent total money earned after working x hours at a rate of $7 per hour, starting with $20?

Back

y = 7x + 20, where y is the total amount of money.

Front

What does the y-intercept represent in a real-world context?

Back

The y-intercept represents the initial value or starting point before any changes occur, such as initial savings or starting amount.

Front

How do you express the total cost of a holiday meal for x people, with a cost of $12.50 per person and a $30 delivery fee?

Back

y = 30 + 12.5x, where y is the total cost.

Front

If a hamburger has 325 calories and each chip has 12 calories, how do you write a linear equation for the total calories consumed?

Back

y = 12x + 325, where y is the total calories and x is the number of chips.

Front

What is the first step in solving a linear word problem?

Back

Read the problem carefully to understand what is being asked and identify the relevant information.