TMS Linear Equations Word Problems

Front

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

Back

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

Front

Define slope in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

What does the y-intercept represent 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 a situation with a $20 startup fee and a $5 monthly fee in slope-intercept form.

Back

y = 5x + 20.

Front

How do you represent a total cost that includes a flat fee and a variable cost per unit?

Back

The total cost can be represented as C = fixed fee + (variable cost per unit * number of units).

Front

Write the equation for a towing service that charges a flat fee of $50 plus $8 per mile.

Back

C = 8m + 50.

Front

What is the equation for a phone service that charges $0.12 per minute plus an $8 monthly fee?

Back

c = 0.12m + 8.

Front

How do you write an equation for a camp that charges $625 for one child and an additional fee for each extra child?

Back

y = 225x + 625.

Front

What is the equation for a cell phone bill that includes a $15 monthly fee and $0.20 per minute of usage?

Back

C = 15 + 0.20x.

Front

Explain how to determine the total cost from a linear equation.

Back

To determine the total cost, substitute the value of the variable (e.g., number of units) into the equation and solve for the total cost.