Algebra 2 Mid Term Exam

What is the vertex of y=x²+4x+3?

• (2,1)

• (-2,1)

• (-2,0)

• (-2,-1)

Solve the equation by completing the square and then finding the roots. Show and submit all your work to get full credit for this problem.

x²+ 6x - 4 = 36

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Solve using the quadratic formula. Show your work on a separate sheet to get full credit for this problem.

• A

• B

• C

• D

Solve with graphing:

2x² + 7x - 15 = 0

Submit the graph showing the solutions to get full credit for this problem.

• -1.5 or 5

• No Solution

• -5 or 1.5

• 0.7 or 5

Solve by using square roots. Show and submit your work to get full credit for this problem.

5b² - 4 = 41

• b = ±9

• b = ±3

• b = ±8

• b = ±8i

Use synthetic division to solve the problem below. Show all your work for this problem to get full credit for it.

(2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 - 13/x-2

• 2x² + 4x + 3 - 1/x-2

Simplify:
(3x - 5) ( 4x² - 2x - 3)

• 12x³ - 26x² - 25x + 15
• 12x³ - 20x² - 5x + 15
• 12x³ - 20x² - 6x + 15
• 12x³ - 26x² + x + 15

Tags

CCSS.HSA.APR.A.1

 $Write\ \frac{7-3i}{5-2i}$  as a single complex number.  Show and submit all your work to get full credit for this problem.

•  $\frac{7}{5}+\frac{3}{2}i$  

•  $\frac{41}{29}-\frac{1}{29}i$  

•  $1-\frac{1}{29}i$  

•  $\frac{41}{29}-i$  

Find the zeros of the polynomials

• A
• B
• C
• D

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

What is the total number of roots for the following equation?
ax⁵+ bx⁴+ cx³+ dx²+ ex+ f = y

• This equation has 2 roots.
• This equation has 4 roots.
• This equation has 5 roots.
• This equation has no roots.

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11