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 is the y-intercept (b) 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 an equation from a word problem involving a fixed cost and a variable cost?

Back

Identify the fixed cost and the variable cost per unit. The equation will be in the form: Total Cost = Fixed Cost + (Variable Cost per Unit * Number of Units).

Front

If a gym charges a monthly fee plus a fee per class, how would you represent the total cost?

Back

Total Cost = Monthly Fee + (Fee per Class * Number of Classes Attended).

Front

What is the equation for Scott's Automotive if Kylie was charged $63?

Back

7x + 35 = 63, where x is the number of hours.

Front

How do you find the total cost for Ace Telecommunications based on minutes used?

Back

The equation is c = 0.12m + 8, where c is the total cost and m is the number of minutes.

Front

What equation represents the membership growth of a fitness club starting with 80 members?

Back

y = 15x + 80, where y is the total membership and x is the number of months.

Front

How do you determine the equation of a line from a graph?

Back

Identify the slope and y-intercept from the graph. Use the formula y = mx + b to write the equation.

Front

What is the equation for Juanita's cell phone bill based on airtime usage?

Back

C = 15 + 0.20x, where C is the total bill and x is the number of minutes used.