A.1a: Checking for Mastery translating verbal statements

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

Front

Back

-19

Front

What is the cube root of a number?

Back

The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is denoted as @@ oot[3]{x}@@.

Front

Back

-28

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with given numbers.

Front

What is the formula for the absolute value function?

Back

The absolute value function is defined as: @@|x| = \begin{cases} x & \text{if } x \geq 0 \\ -x & \text{if } x < 0 \end{cases}$$.

Front

What is the significance of negative signs in expressions?

Back

Negative signs indicate the opposite value of a number. They can affect the outcome of calculations, especially in expressions involving addition and subtraction.

Front

How do you simplify expressions with square roots?

Back

To simplify expressions with square roots, look for perfect squares and factor them out of the square root.

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents an unknown value, while a constant is a fixed value that does not change.

Front

What is the order of operations in mathematics?

Back

The order of operations is: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered as PEMDAS.