Algebraic Expressions and Functions

The video tutorial covers five math problems, including evaluating a function, finding a perpendicular line's equation, calculating the surface area of a rectangular prism, multiplying polynomials, and comparing costs using slope. Each problem is explained step-by-step, with emphasis on understanding key concepts like function evaluation, slope, and polynomial multiplication. The instructor also offers additional resources for those needing more practice.

What is the value of G(12) if G(x) = 3x + 8?

• 44

• 72

• 60

• 36

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

• X-intercept

• Constant

• Y-intercept

• Slope

What is the slope of a line perpendicular to a line with slope -4/5?

• 4/5

• -5/4

• -4/5

• 5/4

If a line passes through the origin and has a slope of 5/4, what is its equation?

• y = 5/4x

• y = 5x + 4

• y = 4/5x

• y = -5/4x

How many faces does a right rectangular prism have?

• 4

• 5

• 6

• 8

What is the total surface area of a rectangular prism with dimensions 3x9, 4x3, and 4x9?

• 120 cm²

• 150 cm²

• 200 cm²

• 180 cm²

When multiplying expressions, what is the result of x * x^2?

• x^2

• x^4

• x

• x^3

What is the simplified form of the expression x + 7(x^2 - 3x + 2)?

• x^3 + 4x^2 - 21x + 14

• x^3 + 7x^2 - 21x + 14

• x^3 + 7x^2 - 9x + 14

• x^3 + 4x^2 - 9x + 14

What is the cost per apple if the slope of the cost line is 4/3?

• $1.25

• $1.40

• $1.50

• $1.33

If the cost per pair is represented by the slope 7/5, what is the cost per pair?

• $1.40

• $1.50

• $1.33

• $1.25