Quadratic Functions and Inequalities

This video tutorial covers a range of math topics from the North Carolina Math 1 exam, focusing on calculator-inactive questions. It includes an introduction to quadratic equations, graphing inequalities, polynomial distribution, understanding parallel lines, finding integer solutions, factoring quadratics, solving systems of equations, and various math problems related to cost and savings. The tutorial provides step-by-step explanations and highlights common errors to avoid.

What is the standard form of a quadratic equation?

• ax^2 + c

• ax^2 + bx + c

• ax^2 + bx

• ax + b

If a quadratic equation opens upward, what can be said about the coefficient 'a'?

• a is positive

• a is undefined

• a is negative

• a is zero

What does the 'C' value in a quadratic equation represent?

• Vertex

• X-intercept

• Y-intercept

• Slope

How do you find the x-intercepts from a factored form of a quadratic equation?

• Set each factor equal to zero

• Add the factors

• Multiply the factors

• Divide the factors

What is the most common error when dividing by a negative in inequalities?

• Multiplying instead of dividing

• Adding instead of subtracting

• Using the wrong variable

• Forgetting to change the inequality direction

When graphing an inequality, what does shading above the line indicate?

• The inequality is greater than

• The inequality is equal to

• The inequality is less than

• The inequality is undefined

What is the result of distributing 3x^2 - 3x + 6x - 6?

• 3x^2 - 3x + 6

• 3x^2 + 6x - 6

• 3x^2 + 3x + 6

• 3x^2 + 3x - 6

What is the slope of a line parallel to y = 4x + 2?

• -4

• 2

• 4

• 0

If a line passes through (1, 6) and is parallel to y = 4x + 2, what is the y-intercept?

• 4

• 2

• 8

• 6

What is the largest integer value of x such that f(x) is less than or equal to g(x)?

• 8

• 6

• 5

• 7