12/6 Algebra Bell Ringer

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, where the denominator is not zero.

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 slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

How do you simplify the expression 5x^2 - 4 + 3x^2 - 2x^3 + 8?

Back

Combine like terms to get -2x^3 + 8x^2 + 4.

Front

Back

Distribute 3 to (x + 4), then isolate x to find x = -4.8.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

How do you find the input of a function when the output is known?

Back

To find the input, set the function equal to the output and solve for the variable.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b.