4-12 Solving Quadratics Review

If the solutions to a quadratic function are 3 and -2, what is the equation?

• y = x² - x - 6

• y = x² + 5x + 6

• y = x² + x - 6

Which equation has solutions of -1 and -7?

• y = (x + 4)² - 9

• y = (x + 4)² - 16

• y = (x + 1)² + 7

What number do you add to both sides of the equation to complete the square: x² + 14x = 0

• 49

• 7

• 196

• 14

What number do you add to both sides of the equation to complete the square: x² - 8x = 12

• 12

• 16

• -16

• -4

A sports recreation company plans to manufacture a beach ball with a surface area of 314 in². Find the radius of the beach ball. Use the formula: A = 4𝜋r², where A is the surface area and r is the radius of the sphere.

• 10

• 25

• 5

A rectangular porch has dimensions of (x + 3) feet and (x + 4) feet. The area of the porch is 90 square feet. What are the length and width of the porch?

• L = 10 and W = 9

• L = 4 and W = 3

• L = 6 and W = 6

Solve by factoring

• -6, -2

• -2, 6

• 2, 6

• -6, 2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

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

• 2, 4

• -2, -4

• -2, 4

• 2, -4

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Factor: x² + 2x – 3

• (x - 2)(x + 1)

• (x + 1)(x - 3)

• (x + 2)(x - 1)

• (x - 1)(x + 3)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² + 10x + 24

• (x + 8)(x + 3)

• (x + 6)(x + 4)

• (x + 12)(x - 2)

• (x + 12)(x + 2)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2