Algebra 1 PARCC Reviewer 6 (A-REI.4a-1)

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.4a-1
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. a) Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)2 = q that has the same solutions.
Clarifications, limits, emphases, and other information intended to ensure appropriate variety in tasks:
1. The derivation part of the standard is not assessed here; it is assessed under Subclaim C.
Sample Questions (taken from PARCC’s Practice Tests and Released Items):
EOY Released Test Item 18
2016 #13

1. EOY Released Test Item 18

Select from the list to correctly complete the sentence.

To solve the equation x2 - x - 2 = 0 for x by completing the square, a student could use the equivalent equation
  (x - _____  )² = _____
-1/4              -1/4
1/4                1/4
-1/2              -1/2
1/2                1/2
-9/4              -9/4
9/4                9/4
-3/2              -3/2
3/2               3/2

2. 2016 #13
The vertex form of the equation of a quadratic function is 

f(x) = a ( x - h )2 + k, where a, h, and k are constants. 

Write the function f(x) = -3x2 + 18x - 21 in vertex form. 

Fill in the missing numbers of the vertex form of the function. Enter your answers in the boxes.

Answers:
#1.) EOY Released Test Item 18

#2.) 2016 #13

Reference: 

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