Solutions to Quadratics

Which expression is equivalent to 6x² + 13x + 5 ?

• (2x + 5)(3x - 1)

• (2x - 5)(3x + 1)

• (2x + 1)(3x + 5)

• (2x - 1)(3x - 5)

Which expression is equivalent to m² - 13m - 30 ?

• (m - 15)(m + 2)

• (m - 10)(m - 3)

• (m + 15)(m - 2)

• (m + 10)(m + 3)

Which expression is equivalent to x² - 17x - 60 ?

• (x - 20)(x + 3)

• (x - 5)(x - 12)

• (x - 20)(x - 3)

• (x + 5)(x - 12)

What are the solutions to the equation 3x² + 15x = 18 ?

• x = -3 and x = -2

• x = -6 and x = 1

• x = 6 and x = 13

• x = 0 and x = 1

What are the solutions to 2(x-7)² = 32 ?

• x=3 and x=11

• x=1 and x=15

The total number of seats in an auditorium is modeled by f(x) = 2x² - 6x, where x represents the number of rows or seats. How many rows of seats are there in the auditorium is it has a total of 416 seats?

• 32

• 13

• 20

• 16

6. What is the positive solution to the equation 0 = 1/3x² - 3 ?

Type the number only!

What are the solutions to (x+7)² = 81 ?

• -74 and 88

• -2 and 16

• -88 and 74

• -16 and 2

8. The area of a rectangular trampoline is 112 ft². The length of the trampoline is 6 feet greater than the width of the trampoline. This situation can be represented by the equation w² + 6w - 112 = 0. What is the width of the trampoline in feet?

• 7 ft

• 16 ft

• 8 ft

• 14 ft

What is the greatest number of solutions that a Quadratic Equation can have?

• 0

• 1

• 2

• 3