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

Front

In the equation y = 30 + 12.50x, what does 12.50 represent?

Back

12.50 represents the cost per person for the holiday meal.

Front

In the equation y = 15x + 80, what does 80 represent?

Back

80 represents the initial number of members in the fitness club.

Front

What does the equation y = 225x + 625 represent in the context of the camp fee?

Back

It represents the total fee for a family with x additional children, where 625 is the base fee for one child.

Front

How do you interpret the y-intercept in the equation y = 8x + 25?

Back

The y-intercept (25) represents the initial fee charged by the T-shirt design company before any t-shirts are printed.

Front

What is the total cost equation for Ace Telecommunications?

Back

The total cost equation is c = 0.12m + 8, where c is the total cost, m is the number of minutes used, and 8 is the monthly service fee.

Front

What is the relationship between x and y in the equation y = mx + b?

Back

x is the independent variable, and y is the dependent variable that changes based on the value of x.