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 (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 it in the form y = mx + b.

Front

What is the equation for Dexter's Gym's total fee after x months?

Back

20x + 40 = 340.

Front

How do you find the total cost of shirts at Custom T Shop?

Back

Use the equation y = 8x + 15, where x is the number of shirts.

Front

If Alex loses 2 pounds per week, how do you express his weight after x weeks?

Back

y = -2x + 217, where y is his weight after x weeks.

Front

How do you determine how many weeks it will take Alex to reach his target weight?

Back

Set up the equation -2x + 217 = 175 and solve for x.

Front

What is the relationship between the number of people on the bus and the ferry charge?

Back

The relationship can be expressed as y = 2x + 120, where y is the charge and x is the number of people.

Front

What is the first step in solving a linear equation?

Back

Isolate the variable on one side of the equation.