Algebra 1 Review (1st Semester)

Front

What is the definition of the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce based on its domain.

Front

How do you express the range of a function in Set Builder Notation?

Back

The range can be expressed in Set Builder Notation as {y | condition on y}, where the condition defines the limits of y.

Front

What is the formula for calculating simple interest?

Back

The formula for simple interest is I = PRT, where I is the interest, P is the principal amount, R is the rate of interest per year, and T is the time in years.

Front

If you deposit $20,000 at a 4% interest rate for 5 years, how much interest will you earn?

Back

Using the formula I = PRT, the interest earned is $20,000 * 0.04 * 5 = $4,000.

Front

What is the total cost of renting videos from two different clubs?

Back

The total cost is calculated by adding the membership fee to the rental fees for the number of videos rented.

Front

How do you determine which video club offers a better deal?

Back

Compare the total costs of renting the same number of videos from both clubs to find the cheaper option.

Front

What does the function f(x) = 6x represent in a real-world context?

Back

This function represents the revenue generated from ticket sales, where x is the number of attendees and f(x) is the total revenue.

Front

What is the range of the revenue function f(x) = 6x for a stadium with a capacity of 2,000 people?

Back

The range is 0 < f(x) < 12,000, meaning the revenue can be any amount from $0 to $12,000.

Front

How do you write an equation in slope-intercept form?

Back

An equation in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope represent in a draining tank scenario?

Back

The slope represents the rate at which the water is being drained from the tank, measured in gallons per hour.