Algebra 1 Regents Review

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What is the formula for the total cost of a service that charges a fixed fee plus a variable fee per person?

Back

C(x) = fixed fee + (variable fee per person * number of people)

Front

How do you simplify the expression (-4x²)³?

Back

To simplify (-4x²)³, apply the power to both the coefficient and the variable: (-4)³ * (x²)³ = -64x⁶.

Front

How do you evaluate a linear function f(x) = mx + b at a specific value of x?

Back

To evaluate f(x) at a specific value, substitute the value of x into the function and perform the arithmetic operations.

Front

What is the most appropriate domain for a function that compares the number of emails sent to data used?

Back

The most appropriate domain is whole numbers, as you cannot send a negative number of emails.

Front

What is the significance of the coefficients in a linear function?

Back

The coefficients in a linear function represent the rate of change (slope) and the y-intercept of the function.

Front

What does it mean for an expression to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

What is the process for multiplying two square roots?

Back

To multiply two square roots, multiply the numbers inside the roots and then take the square root of the result.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

How do you determine the slope of a linear function from its equation?

Back

The slope of a linear function in the form y = mx + b is the coefficient m.