Linear Word Problems

Front

What is a y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

Write the equation for total cost (C) to rent a paddle boat for h hours if the rental fee is $15 plus $2 per hour.

Back

C = 2h + 15

Front

How do you calculate the monthly cell phone bill (C) if the base fee is $15 and the cost is $0.20 per minute of usage (x)?

Back

C = 15 + 0.20x

Front

If a fitness club starts with 80 members and gains 15 members each month, what is the equation for total membership (y) after x months?

Back

y = 15x + 80

Front

What equation represents the total sales of t-shirts if small t-shirts cost $12 (x) and large t-shirts cost $14 (y) with total sales of $708?

Back

12x + 14y = 708

Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

Define a linear equation.

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What is the meaning of the term 'variable' in algebra?

Back

A variable is a symbol, usually a letter, that represents an unknown value in mathematical expressions or equations.

Front

Explain the concept of 'constant' in a linear equation.

Back

A constant is a fixed value that does not change, often represented as the y-intercept in a linear equation.

Front

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

Back

The coefficient indicates the amount by which the variable is multiplied, affecting the slope of the line.