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Algebra 1 PARCC Reviewer 10 (A-REI.11-1)

**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.11-1

**Calculator: **Y

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:**
Find the solutions of where the graphs of the equations y= f(x) and y= g(x) intersect, e.g. using technology to graph the functions, make tables of values or find successive approximations. Limit f(x) and/or g(x) to linear and quadratic functions.★

**Clarifications, limits, emphases, and other information intended to ensure appropriate variety in tasks:**
i) The "explain" part of standard A-REI.11 is not assessed here. For this aspect of the standard, see Sub-Claim C.

**Sample Questions (taken from PARCC’s Practice Tests and Released Items):**
PBA Released Test Item 4

EOY Released Test Item 29

Practice Test, Unit 2, Item 2

Paper Test, Unit 2, Item 16

**1. PBA Released Test Item 4 **

Graph lines m and t on the xy-coordinate plane shown. Then plot the point of intersection P.

Line m : y = -2/3 x - 4

Line t : y = x + 6

To graph a line, select two points on the coordinate plane. A line will be drawn through the points. Select the place on the coordinate plane to plot the point.

**2. EOY Released Test Item 29 **The graph of f(x) = -x3 - 4 and g(x) = 0.5x2 + x + 4 are given.

Use the graphs to find the solution to the equation

-x3 -4 = 0.5x2 + x + 4.

Enter your answer on the blank line.

x = ____________

**3. Paper Test, Unit 2, Item 16**

y = x2 - 2x - 5

y = x3 - 2x2 - 5x - 9

When the two equations shown are graphed in the coordinate plane, they intersect at a point. What is the y-coordinate of the point of intersection? Enter your answer on the blank. __________

**Answers:**

**Reference: **

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