Some of the quadratic equations below have a solution of x=-2, while others have a solution of x=-6, and some have neither solution. Categorize the equations below according to their solutions.

Groups:

(a) x=-2

,

(b) x=-6

,

(c) neither

Match the following quadratic equations with the correct step when completing the square.

Tags

CCSS.HSA-REI.B.4B

Select the step where Mark made an error.

What was Mark's mistake, and what should he have done instead?

For each equation below, determine the type of solution(s) for each equation.

• 1 rational solution

• 2 rational solutions

• 2 irrational solutions

• 2 imaginary solutions

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Perform the arithmetic shown for each complex expression to obtain the new complex number.

Perform the operations using the given complex numbers. Select the correct value for each hotspot.

c

d

-5

15

2

-4

-2

4

Tags

CCSS.HSA.APR.D.7