Quadratic Function word problems

What is the discriminant?

•  $b²-4ac$  

•  $\sqrt{b^2-4ac}$  

•  $4ac$  

•  $b^2\pm4ac$  

Tags

CCSS.HSA-REI.B.4B

If the discriminant equals 0, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• 2 Imaginary/unreal Solutions

• Twin solutions

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• 2 Imaginary/Non-real Solutions

• Many solutions

Solve  :    $x^2-7x+5=0$  

•  $\left\{\frac{-7\pm\sqrt{69}}{2}\right\}$  

•  $\left\{\frac{-7\pm\sqrt{29}}{2}\right\}$  

•  $\left\{\frac{7\pm\sqrt{29}}{2}\right\}$  

•  $\left\{\frac{7\pm\sqrt{69}}{2}\right\}$  
  

Tags

CCSS.HSA-REI.B.4B

Solve:    $2(x-4)^2=200$  

•  $\left\{±10\right\}$  

•  $\left\{-14,6\right\}$  

•  $\left\{-6,14\right\}$  

•  $\left\{-4,\ 14\right\}$  

Tags

CCSS.HSA-REI.B.4B

The product of two consecutive positive numbers is 132. Find the numbers.

• 11 and 12

• -11 and -12

• -11 and 12

• 11 and -12

The product of two consecutive negative even integers is 24. Find the integers.

• 6 and 8

• 6 and 4

• -6 and -8

• -6 and -4

If you square 5 more than a positive number, the result is 88 more than 12 times the number. Find the numbers.

• -9 and 7

• $\pm\sqrt{75}$

• 9 and -7

• 15 and -5

One leg of a right triangle is seven more than the other leg. The hypotenuse is eight more than the shorter leg. Find the lengths of the longest side.

• 5 ft
• 3 ft
• 12 ft
• 13 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSG.SRT.C.8

The area of a playground is 336 $m^2$ . The width of the playground is 5 m longer than its length. Find the length and width of the playground

• length = 26 m, width = 21 m

• length = 21 m, width = 26 m

• length = 21 m, width = 16 m

• length = 16 m, width = 21 m