Algebra 2 Review #2

(6x^2 + 3x + 10) - 4(x^2 - 4x + 6) =

• 2x^2 - 13x + 34

• 2x^2 + 19x - 14

• 2x^2 + 13x - 14

• 2x^2 + 19x + 34

Which of the following is equivalent to the expression below? (x - 2)(2x^2 + 3) + x^3 - 2x

• 3x^3 - 2x - 6

• 3x^3 + x - 6

• 3x^3 - x^2 - 2x - 6

• 3x^3 - 4x^2 + x - 6

Which of the following quadratic equations has -5 as one of its solutions?

• x^2 - 4x - 5 = 0

• x^2 + 3x - 10 = 0

• x^2 - 2x - 15 = 0

• x^2 - 6x + 5 = 0

If f(x) = x^2 + 2x + 1 and g(x) = 3(x + 1)^2, which is an equivalent form of f(x) + g(x)?

• x^2 + 4x + 2

• 4x^2 + 2x + 4

• 4x^2 + 8x + 4

• 10x^2 + 20x + 10

If f(x) = x^2 - x and g(x) = x - 1, what is f(g(x))?

• x^2 - x - 1

• x^2 - x - 2

• x^2 - 3x + 2

• x^2 - 3x + 1

Which polynomial represents (3x^2 + x - 4)(2x - 5)?

• 6x^3 - 13x^2 - 13x - 20

• 6x^3 - 13x^2 - 13x + 20

• 6x^3 + 13x^2 + 3x - 20

• 6x^3 + 13x^2 + 3x + 20

Tina solved a quadratic equation and found the solutions to be -3/2 and 6. Which of the following is equivalent to the quadratic equation that Tina solved?

• (x - 6)(3x + 2) = 0

• (x - 6)(2x + 3) = 0

• (x + 6)(2x - 3) = 0

• (x + 6)(3x - 2) = 0

Which function is the inverse of ( f(x) = x^3 + 6 )?

• ( f^{-1}(x) = \sqrt[3]{x} + 6 )

• ( f^{-1}(x) = \sqrt[3]{x} - 6 )

• ( f^{-1}(x) = \sqrt[3]{x - 6} )

• ( f^{-1}(x) = \sqrt[3]{x + 6} )

( \frac{x + 3}{x + 5} + \frac{6}{x^2 + 3x - 10} = )

• ( \frac{x^2 + x}{x^2 + 3x - 10} )

• ( \frac{7x - 9}{x^2 + 3x - 10} )

• ( \frac{x^2 + x + 12}{x^2 + 3x - 10} )

• ( \frac{x^2 + x + 1}{x^2 + 3x - 10} )

After how many seconds will the ball hit the ground?

• 4 seconds

• 4.5 seconds

• 9 seconds

• 56 seconds