Algebra Keystone Review (Module 1)

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What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Tags

CCSS.8.EE.C.8B

Front

How do you determine if a value makes an expression equivalent to a specific number?

Back

To determine if a value makes an expression equivalent to a specific number, substitute the value into the expression and simplify. If the result equals the specific number, then it is equivalent.

Tags

CCSS.6.EE.A.2C

Front

What does the symbol '<' represent in mathematical comparisons?

Back

The symbol '<' means 'less than'. It indicates that the value on the left side is smaller than the value on the right side.

Tags

CCSS.1.NBT.B.3

Front

How do you calculate profit in a business scenario?

Back

Profit is calculated by subtracting total costs from total revenue. The formula is: Profit = Total Revenue - Total Costs.

Front

What is the fixed cost in a business model?

Back

Fixed costs are expenses that do not change with the level of goods or services produced by the business. They remain constant regardless of production volume.

Tags

CCSS.HSF.LE.B.5

Front

What is a variable cost in a business model?

Back

Variable costs are expenses that vary directly with the level of production. They increase as production increases and decrease as production decreases.

Front

How do you set up an equation to represent profit based on units sold?

Back

To set up a profit equation, use the formula: Profit (y) = (Selling Price per Unit - Cost per Unit) * Number of Units Sold (x) - Fixed Costs.

Front

What is the significance of processing fees in cost calculations?

Back

Processing fees are additional charges that must be included in total cost calculations. They affect the overall price a customer pays and can influence purchasing decisions.

Front

How can you compare costs of two different services?

Back

To compare costs, set up equations for each service based on their pricing structure and solve for the number of days or units where one service becomes cheaper than the other.

Front

What does it mean for one service to be cheaper than another after a certain number of days?

Back

It means that after that specific number of days, the total cost of one service is less than the total cost of the other service, making it the more economical choice.