NC Math 1 EOC Review

Front

What does the equation V = 20x² - 363.2x + 2500 represent?

Back

The equation represents the value of a car from 1962 to 2000, where x = 0 corresponds to the year 1962.

Front

How do you find the year when the car had the least value using the equation V = 20x² - 363.2x + 2500?

Back

To find the minimum value, calculate the vertex of the parabola represented by the equation, which occurs at x = -b/(2a). In this case, it is x = 9.075, corresponding to the year 1971.

Front

What is the result of multiplying (4x + 1)(5x - 2)?

Back

The result is 20x² - 3x - 2.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c, where a, b, and c are constants.

Front

What is the maximum height of an object launched upward at 64 ft/s from a height of 80 feet?

Back

The maximum height is 144 feet, calculated using the vertex formula for the height equation s(t) = -16t² + 64t + 80.

Front

How do you solve the quadratic equation 2x² + 7x - 15 = 0?

Back

Use the quadratic formula x = (-b ± √(b² - 4ac)) / 2a. The solutions are x = -5 or x = 1.5.

Front

What is the formula for the total membership of a fitness club that starts with 80 members and increases by 15 members each month?

Back

The formula is y = 15x + 80, where y is the total membership and x is the number of months.

Front

What does the term 'vertex' refer to in a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, no real roots.

Front

What is the process to factor a quadratic expression like 20x² - 3x - 2?

Back

To factor, find two numbers that multiply to ac (20 * -2 = -40) and add to b (-3). The factors are (5x + 2)(4x - 1).