Calculator Review

Front

What is the definition of a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \).

Front

What is the definition of an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; it cannot be written as \( \frac{a}{b} \) where \( a \) and \( b \) are integers.

Front

What is the square root of a number?

Back

The square root of a number \( x \) is a value \( y \) such that \( y^2 = x \).

Front

What is the product of two square roots?

Back

The product of two square roots can be simplified as follows: \( \sqrt{a} \times \sqrt{b} = \sqrt{a \times b} \).

Front

Simplify the expression \( \sqrt{a} \times \sqrt{b} \).

Back

The simplified form is \( \sqrt{a \times b} \).

Front

What is the result of \( \sqrt{5} \times \sqrt{10} \)?

Back

The result is \( 5\sqrt{2} \).

Front

What is the definition of a polynomial?

Back

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

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

How do you simplify the expression \( 5r^2 - 7r + 1 - (8r^2 - 4r - 1) \)?

Back

The simplified expression is \( -3r^2 - 3r + 2 \).

Front

What is the sum of a rational number and an irrational number?

Back

The sum of a rational number and an irrational number is always irrational.