Linear Equation 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 represent in a linear equation?

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

Front

How do you write an equation for a total cost based on a fixed fee and a variable fee?

Back

The equation can be written as C = fixed fee + (variable fee per unit * number of units).

Front

Write the equation for the total cost C to rent a paddle boat for h hours if there is a $15 deposit and $2 per hour.

Back

C = 2h + 15

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the equation for Bob's savings if he starts with $150 and saves $40 each month.

Back

y = 40x + 150

Front

Write the equation for Sandra's iTunes gift card if she starts with $20 and spends $3 each month.

Back

y = 20 - 3x

Front

Write the equation for a man descending from 100 feet at 30 feet per minute.

Back

y = 100 - 30x

Front

Write the equation for Sonya's lunch account if she starts with $40 and pays $2 each day.

Back

y = 40 - 2x