Unit 4 - Quadratic Equations with Stratagies

Can this quadratic be solved by BOTH square root method AND difference of squares?
2x² - 7 = 0

• Yes!
• No - just square root method
• No - just difference of squares method

Factor the quadratic equation: x^2 + 5x + 6

• (x + 1)(x + 6)

• (x + 3)(x + 4)

• (x + 2)(x + 4)

• (x + 2)(x + 3)

Solve the quadratic equation: x^2 - 6x + 8 = 0

• x = 1, 7

• x = 3, 5

• x = -2, -4

• x = 4, 2

Find the roots of the quadratic equation: 2x^2 + 3x - 2 = 0

• x = 2, x = -1

• x = 0.5, x = -2

• x = 1, x = 2

• x = 1, x = -0.5

A rectangular garden has a length that is 4 meters more than its width. The area of the garden is 60 square meters. Find the dimensions of the garden.

• 8 meters by 7 meters

• 5 meters by 12 meters

• 6 meters by 10 meters

• 4 meters by 15 meters

Factor the quadratic equation: 2x^2 + 7x + 3

• (2x + 1)(x + 2)

• (2x + 3)(x + 1)

• (2x + 1)(x + 3)

• (2x + 2)(x + 3)

Solve the quadratic equation: 3x^2 + 10x - 8 = 0

• x = -5 +/- √33

• x = -4 and 2/3

• x = 1/6 and -5/6

• x = -10 +/- √14

Find the roots of the quadratic equation: x^2 - 4x + 4 = 0

• x = -2

• x = 4

• x = 0

• x = 2

A ball is thrown into the air with an initial velocity of 20 m/s. The height of the ball at any time t can be modeled by the equation h(t) = -5t^2 + 20t + 10. How approximately long does it take for the ball to reach the ground?

• 4 sec

• 0.5 sec

• 10 sec

• 2.4 sec

Factor the quadratic equation: 3x^2 - 8x - 3

• (3x + 1)(x + 3)

• (3x + 1)(x - 3)

• (3x - 1)(x - 3)

• (3x - 1)(x + 3)