Linear 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

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

Front

How do you write an equation from a word problem?

Back

Identify the variables, determine the relationship between them, and translate the words into a mathematical equation.

Front

If Sam ordered 4 tacos and 5 enchiladas for $10.80, what equation represents this situation?

Back

4x + 5y = 10.80, where x is the price of a taco and y is the price of an enchilada.

Front

What does the equation y = -25x + 120 represent in a real-world context?

Back

It represents a situation where there are 120 gallons of water in a tank, and it releases water at a rate of 25 gallons per minute.

Front

What is the significance of the y-intercept in a real-world scenario?

Back

The y-intercept often represents the starting value or initial condition in a situation.

Front

Write an equation for Jenny's purchase of T-shirts and hoodies totaling $150.

Back

15x + 20y = 150, where x is the number of T-shirts and y is the number of hoodies.

Front

How can you represent a situation where membership increases over time?

Back

Use the equation y = mx + b, where m is the rate of increase and b is the initial value.

Front

What equation represents the fitness club's membership growth?

Back

y = 15x + 80, where x is the number of months and y is the total membership.