ALM Final S1

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.

Front

What is the slope of the linear function represented by the equation y = 4x + 2?

Back

The slope is 4.

Front

What is the explicit formula for the arithmetic sequence where the first term is 5 and the common difference is 3?

Back

a_n = 5 + 3(n - 1) is the explicit formula.

Front

Which of the following numbers is classified as an irrational number? 4, √3, 2.5, -1

Back

√3 is classified as an irrational number.

Front

Complete the square for the quadratic expression x² + 6x + 8 to write it in vertex form.

Back

(x + 3)² - 1 is the vertex form.

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.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; it cannot be written as a ratio of two integers.

Front

What is the formula for the slope of a line?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the difference between consecutive terms in an arithmetic sequence.