12/6 Algebra Bell Ringer

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 does it mean for a number to be rational?

Back

A rational number can be expressed as a fraction a/b, where a and b are integers and b ≠ 0.

Front

What is the output of the function f(x) = 2x - 5 when x = 20?

Back

The output is f(20) = 2(20) - 5 = 40 - 5 = 35.

Front

Back

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Front

How do you combine like terms in the expression 5x^2 - 4 + 3x^2 - 2x^3 + 8?

Back

Combine the coefficients of like terms: -2x^3 + (5x^2 + 3x^2) + (8 - 4) = -2x^3 + 8x^2 + 4.

Front

What is the y-intercept of the line represented by the equation y = -1/3x + 5?

Back

The y-intercept is the value of y when x = 0, which is 5.

Front

What is the process to find the input of a function when the output is known?

Back

Set the function equal to the output and solve for the input variable.

Front

What does it mean for an equation to have no solution?

Back

An equation has no solution when there are no values for the variable that satisfy the equation.