Solving Quadratic Equations Review

Solve by taking square roots:
k² - 6 = 43

• k = √37
• k = 37 or - 37
• k = 7, k = -7
• no solution

Tags

CCSS.HSA-REI.B.4B

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7
• -7
• -4
• -3

Tags

CCSS.HSA-REI.B.4B

Fully Factor the Following
16x²+25

• 16x²+25
• (4x-5)(4x+5)
• (4x+5)(4x-5)
• (4x+5)²

Solve by factoring.
8n² + 10n - 3 = 0

• n = ^-1/₈, ¹⁰/₃
• n = ⁴/₅, - 2
• n = ¹/₄, ^-3/₂
• n = 2, -12

Tags

CCSS.HSA-REI.B.4B

Solve for k by factoring.

• A
• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

Complete the square.
x² + 14x + ____

• x² + 14x - 196
• x² + 14x + 49
• x² + 14x - 49
• x² + 14x + 196

What should be added to both sides of the following equation to complete the square?
x² - 12x = 5

• -12
• 6
• 36
• -5

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41
• X= 35 or 47
• X = −6 + √41 or  −6 − √41
• X = √35 or √47

Tags

CCSS.HSA-REI.B.4B

Transfer to Vertex Form by Complete the square for: x² + 18x + 17 = 0

• (x + 9)² - 64
• (x + 9)² + 64
• (x - 9)² + 64
• (x - 9)² - 64

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
2x² - 16x + 8 = 0 

• no solution
• +- 3i
• 4 +- 2root3
• 2, 3