Linear Functions and Exponents Concepts

The video tutorial covers various mathematical concepts including inequalities, coordinate planes, linear and quadratic functions, systems of linear equations, and operations with exponents. It explains the use of open and closed circles in inequalities, the numbering of quadrants on a coordinate plane, and the properties of linear functions such as slope and Y-intercept. The tutorial also discusses solutions to systems of linear equations, the vertical line test for functions, and the characteristics of quadratic functions. Additionally, it provides rules for operations with exponents, including multiplication, division, and handling negative exponents.

What happens to the inequality sign when you multiply or divide by a negative number?

• It disappears

• It becomes an equal sign

• It switches direction

• It stays the same

Which of the following represents a closed circle in inequalities?

• Less than

• Greater than

• Less than or equal to

• Greater than

How are the quadrants of a coordinate plane numbered?

• A, B, C, D

• I, II, III, IV

• One, Two, Three, Four

• 1, 2, 3, 4

What is the slope of the linear parent function y = x?

• 0

• Undefined

• 1

• 2

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

• Rate of change

• Y-intercept

• Slope

• X-intercept

What is the domain of a function?

• All possible y-values

• All possible x-values

• The slope of the function

• The y-intercept

What is the constant rate of change in a linear function?

• The domain

• The y-intercept

• The x-intercept

• The slope

How do you calculate the perimeter of a rectangle?

• Add the width and length

• Multiply the width by the length

• Multiply all four sides

• Add all four sides

What is the result when two lines have the same slope?

• They are perpendicular

• They form a right angle

• They are parallel

• They intersect at one point

What does the vertical line test determine?

• If a graph is a function

• If two lines are parallel

• The slope of a line

• The y-intercept of a line