Writing Linear Equations from Word Problems

Front

What is the equation for the total cost C to rent a paddle boat for h hours if the rental fee is $15 plus $2 for each hour?

Back

C = 2h + 15

Front

Write the equation that represents the total cost y to rent a paddle boat for x hours, given a $15 deposit and $2 per hour.

Back

y = 2x + 15

Front

If Joe has $150 in his savings account and saves $40 each month, what equation represents the amount he has after x months?

Back

y = 40x + 150

Front

In the equation y = mx + b, what does the letter m represent?

Back

m represents the slope of the line.

Front

Simplify the expression: 2x + 1 + 7x.

Back

9x + 1

Front

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

Back

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

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x = 0.

Front

If a linear equation has a slope of 3 and a y-intercept of 2, what is the equation?

Back

y = 3x + 2.

Front

What is the first step to write an equation from a word problem?

Back

Identify the variables and what they represent.