Solving Quadratic Equations and Systems Practice

• √3

• $±i√3$
  

• $\pm3i$

• $3i$
  

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.C.7

Solve the quadratic by factoring.

• -4, 2

• -2, 4

• -16

• -4

Tags

CCSS.HSA.REI.B.4

Write in Vertex Form:

f(x) = x² + 6x + 5

• (x + 3)² - 4

• (x + 6)² - 4

• (x + 3x)² - 4

• (x + 3)² + 9

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve by completing the square.
x² + 4x= 12

• x = 2 and -2
• x = -6 and 2
• x = 6 and -2
• x = 1 and -1

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

The quadratic formula can be used to solve quadratic equations that cannot be factored.

• True

• False

Tags

CCSS.HSA.REI.B.4

What should you do first in solving this equation if you want to solve by factoring?

x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Solve By Factoring:

 $2n^2-9n+9=0$  

• -6, -3

•  $6,\ 3$  

•  $\frac{-3}{2},\ 3$  

•  $\frac{3}{2},\ 3$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve by the Quadratic Formula:

 $9u^2-11u+7=0$  

•  $\frac{-11\pm\sqrt{131}}{18}$  

•  $\frac{11\pm i\sqrt{131}}{18}$  

•  $\frac{11\pm\sqrt{131}}{-18}$  

•  $\frac{11\pm i\sqrt{373}}{18}$  

Tags

CCSS.HSA.REI.B.4

Find the solution(s) algebraically & verify graphically:

y = x² - 4x + 6

y = x + 2

• (1, 4)

• (-1, 1) and (4, 2)

• (1, 3) and (4, 6)

• (1, 4) and (3, 6)

Two equations were graphed on the set of axes below.  Which point is a solution to the system of equations ?

• (0,3)
• (5,0)
• (2,-3)
• (8,9)

Tags

CCSS.HSA.REI.C.7