1. complete the square to form a perfect square trinomial. 8x + x² + __
a. 16
b. 4
c. 8
d. 2

2. solve the equation by completing the square. x² + 4x = 12
a. 3, -4
b. -6, 2
c. 4, -4
d. -4, 3

3. find the number of real solutions using the discriminant. x² + 9x + 4 = 0
a. 0
b. 1
c. 2

4. find the number of real solutions using the discriminant. x² - 6x - 7 = 0
a. 2
b. 1
c. 0

1. x² + 8x + 16
    x² + 4x + 4x + 16
    x(x) + x(4) + 4(x) + 4(4)
    x(x + 4) + 4(x + 4)
    (x + 4)(x + 4)
    (x + 4)²
The answer is A.

2.                           x² + 4x = 12
                        x² + 4x + 4 = 12 + 4
                        x² + 4x + 4 = 16
                x² + 2x + 2x + 4 = 16
    x(x) + x(2) + 2(x) + 2(2) = 16
             x(x + 2) + 2(x + 2) = 16
                     (x + 2)(x + 2) = 16
                              (x + 2)² = 16
                            √(x + 2)² = √16
                                 x + 2 = ±4
                                    - 2    - 2
                                      x = -2 ± 4
                                      x = -2 + 4    or    x = -2 - 4
                                      x = 2       or        x = -6
The answer is B.

3. x² + 9x + 4 = 0
    Δ = b² - 4ac
    Δ = (9)² - 4(1)(4)
    Δ = 81 - 4(4)
    Δ = 81 - 16
    Δ = 65
THe answer is C.

4. x² - 6x - 7 = 0
    Δ = b² - 4ac
    Δ = (-6)² - 4(1)(-7)
    Δ = 36 - 4(-7)
    Δ = 36 + 28
    Δ = 64
The answer is A.

step-by-step explanation:

yes it is1. move over 2 points on the x-axis2. move over 2 points on the y-axis