Algebra 1 review 2

Front

What is the simplified form of \(\sqrt{112}\)?

Back

\(4\sqrt{7}\)

Front

Is the number 0.0123456789... rational or irrational?

Back

Irrational

Front

What does the rate of change represent in a linear function?

Back

The rate of change is the amount by which the output (cost) increases for each unit increase in the input (number of goldfish).

Front

What is the result of multiplying the radicals \(\sqrt{9} \cdot \sqrt{9}\)?

Back

9

Front

Is -10 a rational or irrational number?

Back

Rational

Front

Define 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 an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.

Front

What is the formula for the slope of a linear function?

Back

The slope \(m\) is calculated as \(m = \frac{\text{change in } y}{\text{change in } x}\).

Front

How do you simplify \(\sqrt{a} \cdot \sqrt{b}\)?

Back

\(\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}\)

Front

What is the value of \(\sqrt{81}\)?

Back

9