**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-CED.4-1

**Calculator:**Z

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)

Rearrange linear formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm's law V = IR to highlight resistance R.

**Clarifications, limits, emphases, and other information intended to ensure appropriate variety in tasks:**

1. Tasks have a real-world context.

2. The quantity of interest is linear in nature.

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

PBA Released Test Item 6

Practice Test, Unit 2, Item 5 (Paper Test, Unit 2, Item 18)

**1. PBA Released Test Item 6**

A set production designer creates a right circular cylindrical pillar. The designer knows the amount of material used for the surface of the pillar and needs to find the height for a reinforcement rod.

Use A = (2𝝿r)h + 𝝿r

^{2}, where r represents the radius, h represents the height of the pillar, and A represents the surface area of the pillar. What is the formula for h in terms of the other variables that can be used to find the height?
a. h =

__A-𝝿r__^{2}
2𝝿r

b. h =

__A + 𝝿r__^{2}
2𝝿r

c. h =

__A__
3𝝿r

^{2}
d. h =

__A_____1__
3𝝿r 2

**2. Paper Test, Unit 2, Item 18**

The formula for finding the perimeter, P, of a rectangle with length l and width w is given. P = 2l + 2w

Which formula shows how the length of a rectangle can be determined from the perimeter and the width?

a. l =

__P__- 2w

2

b. l =

2

__P - 2w__2

c. l =

2

__P__+ w2

d. l =

2w

__P - 2__2w

**Reference:**

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