Factoring and Quadratic Formula

Maddie is planning a rectangular garden in her backyard. The length of the garden will be 5 feet greater than its width.

What function models the area of Maddie's garden?

• a (w) = w (5w)

• a (w) = w² + 5

• a (w) = w (w + 5)

• a (w) = (w + 5) (w + 5)

What are the x-intercepts of the graph of f(x) = x² - 7x - 18 ?

• (2, 0) and (9, 0)

• (−2, 0) and (9, 0)

• (2, 0) and (−9, 0)

• (−2, 0) and (−9, 0)

Solve
a² + 2a - 24 = 0

• a = -6, 4
• a = 6, -4
• a = 12, -2
• a = 8, -3

Solve by using the quadratic formula:
15x²+22x=-8

• -2/3, 4/5
• 2/3, -4/5
• 2/3, 4/5
• -2/3, -4/5

Solve the equation by factoring:
x²-6x+8=0

• 2, 4
• -2, -4
• -2, 4
• 2, -4

Rewrite this quadratic in factored form:
x²- 15 = 1

• (x - 4)(x + 4)
• (x - 4)(x - 4) 
• (x + 4) (x + 4) 
• (x - 8)(x + 2) 

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

Which equation correctly shows the quadratic formula being used for the equation 3x² -2 = 6x ?

Which of the following correctly shows the quadratic formula being used for the equation 5x² = 60 and the solutions to the equation?