Exploring Linear and Quadratic Systems

What method is introduced for solving quadratic inequalities in this lesson?

• Graphing

• Sign Analysis

• Elimination

• Substitution

What is the function value at x = -4 for the equation y = x^2 + 2x - 8?

• 2

• 4

• 0

• -8

In which interval is the function x^2 + 2x - 8 positive?

• Between -4 and 2

• Less than -4 or greater than 2

• Greater than -4 and less than 2

• Between 0 and 4

What is the factored form of the quadratic equation x^2 - 9x + 14?

• (x + 7)(x + 2)

• (x - 7)(x + 2)

• (x - 7)(x - 2)

• (x + 7)(x - 2)

What is the sign of the function x^2 - 9x + 14 in the interval between 2 and 7?

• Positive

• Undefined

• Negative

• Zero

What is the solution to the inequality x^2 - 9x + 14 < 0?

• x < 2 or x > 7

• 2 < x < 7

• x > 2 and x < 7

• x = 2 or x = 7

What is the first step in solving the inequality 8x - x^2 ≤ 0?

• Graphing the function

• Finding the zeros of the function

• Using the quadratic formula

• Completing the square

What is the value of x when 8x - x^2 = 0?

• 4 and -4

• 2 and -2

• 0 and -8

• 0 and 8

In the sign chart method, what does a negative times a negative result in?

• Zero

• Negative

• Undefined

• Positive

What is the solution to the inequality -6x^2 - 39x - 18 ≤ 0?

• x > -6 or x < -1/2

• x < -6 or x > -1/2

• x ≤ -6 or x ≥ -1/2

• x ≥ -6 or x ≤ -1/2