Writing Equations from Word Problems

Front

What is the first step in writing an equation from a word problem?

Back

Identify the variables and what they represent in the context of the problem.

Front

How do you represent a fixed cost in an equation?

Back

A fixed cost is represented as a constant term in the equation, such as 'C' in the equation C + mx, where C is the fixed cost.

Front

What does 'm' represent in the equation C + mx?

Back

In the equation C + mx, 'm' represents the variable cost per unit, and 'x' represents the number of units.

Front

How do you set up an equation for two different scenarios to find when they are equal?

Back

Set the two expressions equal to each other, such as C1 + m1x = C2 + m2x.

Front

What is the equation for the total cost of rides at a fair?

Back

Total Cost = Entrance Fee + (Cost per Ride * Number of Rides), or C = F + (p * r).

Front

How do you solve for 'x' in an equation?

Back

Isolate 'x' on one side of the equation using inverse operations.

Front

What is the significance of the slope in a cost equation?

Back

The slope represents the variable cost per unit, indicating how much the total cost increases with each additional unit.

Front

How can you check if your equation is set up correctly?

Back

Substitute known values into the equation to see if both sides are equal.

Front

What does it mean if two equations intersect on a graph?

Back

The intersection point represents the values where both scenarios are equal, such as equal costs.

Front

How do you interpret the solution of an equation in a word problem context?

Back

The solution represents the value of the variable that satisfies the conditions of the problem.