Problems Solving with Quadratic Equations

Find the minimum point of the graph x² + 12x + 4

• ( -12 , -32 ) 
• ( -6 , -32 ) 
• ( -6 , 32 ) 
• ( 12 , -14 ) 

Complete the Square
x² + 6x + 20

• (x + 3x)² + 11
• (x + 3)² + 11
• (x + 6)² + 11
• (x + 3)² + 29

Tags

CCSS.HSA-REI.B.4B

Solve
16a² - 9 = 0

• a = ^-3/₄, ³/₄ 
• a = ^-4/₃, ⁴/₃ 
• a = ^-9/₁₆, ⁹/₁₆ 
• a = ^-16/₉, ¹⁶/₉ 

Tags

CCSS.HSA-REI.B.4B

Solve
a² + 2a - 24 = 0

• a = -6, 4
• a = 6, -4
• a = 12, -2
• a = 8, -3

Tags

CCSS.HSA-REI.B.4B

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4
• 2
• 8
• 20

Tags

CCSS.HSA-REI.B.4B

Solve
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 by using the quadratic formula:
15x²+22x=-8

• -2/3, 4/5
• 2/3, -4/5
• 2/3, 4/5
• -2/3, -4/5

Tags

CCSS.HSA-REI.B.4B

Write the equation in vertex form: 
y = x² + 10x + 20

• y=(x+5)² + 5
• y=(x+5)² + 45
• y=(x+5)² + 20
• y=(x+5)² - 5

Use the graph to determine the solutions.

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

Solve the equation by factoring:
x²-6x+8=0

• 2, 4
• -2, -4
• -2, 4
• 2, -4

Tags

CCSS.HSA-REI.B.4B