Solving Quadratics Using Any Method

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

Decide on the best method:
x² - 3x - 54 = 0

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

Tags

CCSS.HSA-REI.B.4B

Decide on the best method:
x² + 2x = -9

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

Tags

CCSS.HSA-REI.B.4B

Solve x^2 - 3x - 4 = 0 using the quadratic formula.

•  x = 4 and -1

• x = -4 and -1

• x = 4 and 1

• x = -4 and 1

Tags

CCSS.HSA-REI.B.4B

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

Solve the equation using the zero product property.

3x(2x - 4) = 0

• x = -1/3 or x = -2

• x = 0 or x = 2

• x = 0 or x = -2

• x = -1/3 or x = 2

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

• ±81
• ±9
• ±3
• No real solution

Tags

CCSS.8.EE.A.2

9k² = 225

• 4

• 4, -4

• 25, -25

• -5, 5

Tags

CCSS.8.EE.A.2

What is another word for zeros?

• y-intercepts

• roots

• vertex

• axis of symmetry

Tags

CCSS.HSF-IF.C.7C