Writing Linear Equations from 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 (m) represent in a linear equation?

Back

The slope (m) 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 does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) 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 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 is the equation for Nicole's babysitting charges?

Back

y = 5x + 3, where y is the total charge, x is the number of hours, 5 is the rate per hour, and 3 is the flat fee.

Front

How do you represent Norb's salary as a linear equation?

Back

S = 4t + 0.95d, where S is the salary, t is the hours worked, and d is the dollars earned in tips.

Front

What is the equation for the total cost of popcorn and Pepsi?

Back

1.99x + 4.99y = 24.92, where x is the number of Pepsi bottles and y is the number of popcorn bags.

Front

How do you express Margaret's salary in a linear equation?

Back

S = 3h + 0.90d, where S is the salary, h is the hours worked, and d is the dollars earned in tips.

Front

What is the equation to find the total rental charge at Joe's Clown Car Rental?

Back

222.5 = 35 + 0.75m, where 222.5 is the total charge, 35 is the flat fee, and m is the number of miles driven.

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients represent the rate of change or the amount of change in the dependent variable for a unit change in the independent variable.