Algebraic Concepts and Functions

This video tutorial prepares students for their math final by covering key topics such as function evaluation, precision in measurements, simplifying expressions, graphing inequalities, exponential functions, point-slope form, solving word problems, recursive and explicit formulas, and systems of equations. The tutorial also includes a discussion on the Fibonacci sequence and concludes with a final review.

What is the result of plugging 6 into the function 8x + 5?

• 50

• 55

• 48

• 53

Which measurement shows an appropriate level of precision for a scale measuring to the nearest 0.5 pounds?

• 2.0

• 2.5

• 2.25

• 3.0

What is the simplified form of 5x - 3x - 15 + 9?

• 2x - 6

• 2x + 6

• 8x - 6

• 8x + 6

How do you find the difference of f(x) = 7x^2 - 11 and g(x) = x^2 - 3x - 4?

• Subtract g(x) from f(x)

• Add g(x) to f(x)

• Divide f(x) by g(x)

• Multiply f(x) by g(x)

What is the inequality for a line that is below y = x?

• y ≥ x

• y < x

• y ≤ x

• y > x

What is the value of 6 * 5^(-2)?

• 1/25

• 6/25

• 25/6

• 6

What is the equation for the total cost of apples if the entry fee is $6 and apples cost $1.75 per pound?

• y = 1.75x - 6

• y = 6x + 1.75

• y = 1.75x + 6

• y = 6x - 1.75

What is the recursive formula for a sequence starting at 4 and increasing by 3?

• a_n = a_(n-1) + 3

• a_n = 3a_(n-1)

• a_n = a_(n-1) - 3

• a_n = 3n

What is the solution to the system of equations using elimination if 2y and -2y are present?

• Multiply the equations

• Subtract the equations

• Add the equations

• Divide the equations

What type of function is represented by y = 4 * 3^x?

• Quadratic

• Linear

• Exponential Growth

• Exponential Decay