Final Exam Review #2

Front

What is the formula for the area of a rectangle?

Back

Area = Length × Width

Front

If Length = 3x + 1 and Width = 2x + 4, what is the expression for the area?

Back

Area = (3x + 1)(2x + 4) = 6x² + 14x + 4

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is the slope of the line that passes through the points (-3, -4) and (7, 6)?

Back

Slope = 1

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

What is the slope of a line that rises 4 units for every 3 units it runs?

Back

Slope = 4/3

Front

What is the simplified form of (x^5)^4?

Back

x^20

Front

What is the definition of a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one.

Front

What does the term 'y-intercept' refer to in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

How do you determine if a slope is positive, negative, or undefined?

Back

Positive slope: line rises from left to right; Negative slope: line falls from left to right; Undefined slope: vertical line.