Solving Quadratic Equations

ax²+bx+c=0  is the standard form of a quadratic equation.

• True
• False

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

The solutions of the quadratic equation 
x²+2x-15=0 are

• x = 3 or x = 5
• x = 5 or x = -3
• x = -5 or x = 3
• x = -3 or x = -5

Tags

CCSS.HSA-REI.B.4B

Solve by factoring.
z² - 6z - 27 = 0

• z = 3 or z = 9
• z = 3 or z = -9
• z = -3 or z = 9
• z = -3 or z = -9

Tags

CCSS.HSA-REI.B.4B

Determine the values of
a, b, and c
for the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

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

• True
• False

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square. x² - 2x = 5

• x = 1 ± √6
• x = 3 and -1
• x = -1 ± √6
• x = 1 and -3

Tags

CCSS.HSA-REI.B.4B

Solve using the quadratic formula. 
12x + 9x² = 5

• x = -6/18 and 30/18
• x = -5/3 and 1/3
• x = 5/3 and -1/3
• x = 6/18 and -30/18

Tags

CCSS.HSA-REI.B.4B

Solve using square roots.      3x² - 15 = 0

• x = -√5
• x = 5 and -5
• x = √5
• x = √5 and -√5

Tags

CCSS.HSA-REI.B.4B

Solve the equation by factoring:
x² -5x = 24

• x = ±√5
• x = -8 and 3
• x = 8 and -3
• No Real Solution

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square. 
3x² - 12x + 6 = 0

• x = 2 ± √-6
• x = 2 ± √6
• x = -2 ± √2
• x = 2± √2

Tags

CCSS.HSA-REI.B.4B