Mathematical Concepts and Problem Solving

This video is the fourth installment in the Math 1 EOC release test for 2014, focusing on the calculator active session. It covers finding the minimum value of a car's worth using a parabola, simplifying expressions with exponents, calculating the average rate of change for Plankton weight, comparing Y-intercepts of functions, determining cost differences between cell phone companies, and comparing methods in an experiment to warm an object.

What is the main focus of the fourth video installment in the Math 1 EOC release test?

• Calculator inactive session

• Calculator active session

• Non-calculator session

• Graphing session

In the car value equation V = 20.8x^2 - 48.3x + 3500, what does the positive coefficient of x^2 indicate about the parabola?

• The parabola has no minimum point

• The parabola is a straight line

• The parabola opens upwards

• The parabola opens downwards

How do you determine the year when the car had the least value using the given equation?

• Find the minimum point of the parabola

• Find the maximum point of the parabola

• Use the initial value of the equation

• Calculate the average value

What is the equivalent expression for x^(1/3) raised to the 3rd power?

• x^1

• x^3

• x^0

• x^-1

When simplifying a negative exponent, what should you do?

• Add the exponent to the base

• Ignore the exponent

• Multiply the exponent by the base

• Change the level of the base

What is the average rate of change in weight of the Plankton from week 8 to week 12?

• 0.425 ounces per week

• 0.325 ounces per week

• 0.225 ounces per week

• 0.125 ounces per week

How is the average rate of change calculated?

• Sum of x and y

• Difference between x and y

• Change in x divided by change in y

• Change in y divided by change in x

What is the Y-intercept of the function f(x) = 3x + 5?

• 8

• 3

• 5

• 0

How do you find the Y-intercept of a function from a table?

• Find the x-value when y is zero

• Find the y-value when x is zero

• Look for the highest y-value

• Look for the lowest y-value

What is the difference in Y-intercepts between f(x) = 3x + 5 and the function in the table?

• 1.5

• 3.5

• 2.5

• 0.5