Forming and solving quadratic equations

The width of a classroom is 2m less than the length, and the area is 180m². Identify the correct equation.

• x² - 2 = 180

• x(x - 2) = 180

• x(x - 2) + 180 = 0

• x² - 2x = 0

A girl is 3 years younger than her brother. The product of their ages is 238. If her brother's age is x, then identify the correct equation.

• x - 3 * x = 238

• x² - 3x + 238 = 0

• x² + 3x + 238 = 0

• x (x - 3) = 238

The perimeter of a rectangular classroom is 46m and it's area is 130m². Choose the correct pair of equations which describe the situation.

• xy = 130 and x + y = 46

• xy = 130 and 2x + 2y = 46

• xy = 46 and x + y = 130

• x² + y = 156

When the numbers 10 and 19 are both increased by the same amount, the product of the new numbers is 360. Describe the situation algebraically.

• (10 + x) (19 + x) = 360

• 10 + 19 + 2x = 360

• 10 x 19 = 360

• (x + 10) (x + 19) = 0

Solve the following quadratic equation...

x² + 3x + 2 = 0

• x = -1

  x = -2

• x = 1

  x = 2

• x = -1

  x = 2

• x = 1

  x = -2

Tags

CCSS.HSA-REI.B.4B

Solve using the Quadratic Formula

2x² + 7x − 15 = 0

• x = −1.5, 5

• No Solution

• x = −5, 1.5

• x = 0.7, 5

Tags

CCSS.HSA-REI.B.4B

Select the solutions to the equation

2x² - 13x + 15 = 0

• x = 1.5

• x = 5

• x = - 6

• x = 2

Select the solutions to the equation

x² - 2x - 1 = 1

• x = -0.4

• x = 2.4

• x = -0.7

• x = 2.7

Solve by completing the square

• -4, 2

• -2, 4

• -16

• -4

Solve by completing the square.

• ±1.5

• 1.5

• ±1

• No real solution