Algebraic Applications (NOT INCLUDING SPORTS PROBLEMS)

Front

What is the formula to find the break-even point in a business?

Back

Break-even point = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit)

Front

If Bowling Alley A charges $7.25 for shoes and $0.50 per game, how do you express the total cost for x games?

Back

Total Cost = 7.25 + 0.50x

Front

If Bowling Alley B charges $1.25 for shoes and $1.50 per game, how do you express the total cost for x games?

Back

Total Cost = 1.25 + 1.50x

Front

What is the equation for profit in a business?

Back

P = R - C (Profit = Revenue - Costs)

Front

How do you calculate total revenue from selling a product?

Back

Total Revenue = Selling Price per Unit × Number of Units Sold

Front

What are consecutive integers?

Back

Consecutive integers are integers that follow each other in order, e.g., 1, 2, 3 or 4, 5, 6.

Front

If the sum of four consecutive integers is 78, how do you set up the equation to find the integers?

Back

Let the integers be x, x+1, x+2, x+3. Then, x + (x+1) + (x+2) + (x+3) = 78.

Front

What is a fixed cost in a business context?

Back

Fixed costs are expenses that do not change regardless of the number of goods or services produced.

Front

What is a variable cost in a business context?

Back

Variable costs are expenses that vary directly with the level of production or sales.

Front

How do you find the largest of four consecutive integers if their sum is known?

Back

First, find the average of the integers, then add 1.5 to find the largest integer.