Math III EOC Review #3

Front

What does it mean to reduce a fraction to its lowest terms?

Back

To reduce a fraction to its lowest terms means to simplify it so that the numerator and denominator have no common factors other than 1.

Front

What is a fraction in simplest form?

Back

A fraction is in simplest form when the numerator and denominator are coprime, meaning they have no common factors other than 1.

Front

How do you solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations.

Front

What is the relationship between logarithmic and exponential equations?

Back

A logarithmic equation can be rewritten as an exponential equation, where log_b(a) = c is equivalent to b^c = a.

Front

What does it mean if p(5) = -8 for a polynomial p(x)?

Back

If p(5) = -8, it means that when x = 5 is substituted into the polynomial, the result is -8, indicating that (x-5) is not a factor of p(x) but the remainder when divided by (x-5) is -8.

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the process of simplifying a polynomial?

Back

Simplifying a polynomial involves combining like terms and reducing the expression to its simplest form.

Front

What is the significance of the remainder in polynomial division?

Back

The remainder in polynomial division indicates the value of the polynomial at the divisor's root; if the remainder is zero, the divisor is a factor of the polynomial.

Front

How do you round a number to the nearest thousandth?

Back

To round a number to the nearest thousandth, look at the digit in the fourth decimal place; if it is 5 or greater, round up the third decimal place by one.

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number, expressed as log_b(a) = c, meaning b^c = a.