Solving Quadratics

Which of the following equations has both x=2 and x=-3 as solutions?

• (x - 2)(x + 3) = 0

• (x + 2)(x + 3) = 0

• (x - 2)(-x + 3) = 0

• (x + 2)(x - 3) = 0

• x - 2 = x - 3

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Which of the following gives all the solutions of  $x^2-x=12$  

• -4 and 3

• -3 and 4

• -2 and 6

• 12 and 13

• 13 only

Which of the following are the values of x for which  $2x^2=3-5x$  

•  $-\frac{\text{1}}{\text{2}}\ and\ 3$  

•  $-1\ and\ \frac{3}{2}$  

•  $-\frac{3}{2}\ and\ 1$  

•  $-2\ and\ 3$  

•  $-3\ and\ \frac{1}{2}$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

What value must be added to  $x^2-10x$  to "complete the square"?

• -5
  

• 5

• 16

• 20

• 25

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following is a factor of  $a^2+7a-18$  ?

• a - 9

• a - 3

• a - 2

• a + 3

• a + 6

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Find the discriminant and state the nature of the roots:  $y=2x^2+5x+11$  

• -63, Two Imaginary Solutions

• -63, Two Real Solutions

• 65, Two Real Solutions

• 65, Two Imaginary Solutions

Tags

CCSS.HSA.REI.B.4

Find the value of the discriminant and state the nature of the roots.  $y=x^2+7x-4$  

• -63, Two Imaginary Solutions

• -63, Two Real Solutions

• 65, Two Real Solutions

• 65, Two Imaginary Solutions

Find the value of the discriminant and state the nature of the roots.  
  $y=2x^2+5x-10$  

• 65, Two Real Solutions

• 105, Two Real Solutions

• 49, Two Real Solutions

• 33, Two Real Solutions

Find the value of the discriminant and state the nature of the roots.  
  $y=x^2-5x-6$  

• 105, Two Real Solutions

• 83, Two Real Solutions

• 65, Two Real Solutions

• 49, Two Real Solutions

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Find the value of the discriminant and state the nature of the roots. 
  $y=3x^2-5x+9$  

• -33, Two Imaginary Solutions

• -65, Two Imaginary Solutions

• -83, Two Imaginary Solutions

• -63, Two Imaginary Solutions