**Sub-claim:**A

The students solve problems involving the Major Content with connections to the Standards for Mathematical Practice

**Type of items:**Type 1

**Color Code:**Peach

**Evidence Statement Key:**

**A-REI.4b-2**

**Calculator:**X

Y = Yes; Assessed on Calculator Section

X = Calculator is Specific to Item

N = No; Assessed on Non-Calculator Sections

Z = Calculator Neutral (Could be Calculator or Non-Calculator Sections)

**Point:**1 each (1:26)

**Evidence Statement Text:**

Solve quadratic equations in one variable.
b) Recognize when the quadratic formula gives complex solutions.

**Clarifications, limits, emphases, and other information intended to ensure appropriate variety in tasks:**
i) Writing solutions in the form a ± bi is not assessed
here. (Assessed under N-CN.7.)

**Sample Questions (taken from PARCC’s Practice Tests and Released Items):**

- Practice Test, Unit 3, Item 3
- Paper Test, Unit 2, Item 28
- 2016 #11

**1. Paper Test, Unit 2, Item 28**

In the equations listed, a, b, c, and d are real numbers. Which of the equations could have solutions that are non-real? Select all that apply.

a. ax

^{2}= b

b. ax

^{2}+ bx = 0

c. ax

^{2}+ bx + c = 0

d. (ax + b)(cx + d) = 0

e. a(bx + c)

^{2}= d

**2. 2016 #11**

Which equations have no real solutions?

Select all correct answers.

a. 2(x - 3)

^{2}= 0

b. 2(x + 3)

^{2}+ 4 = 1

c. (x - 1)

^{2}+ 4 = 8

d. (x + 1)

^{2}+ 4 = 2

e. x

^{2}+ 8x = -15

**Answers:**

*to be posted soon*

**Reference:**

PARCC. (n.d.). Retrieved December 20, 2017, from http://www.aps.edu/assessment/parcc