### General Information

**Subject Area:**Mathematics

**Grade:**912

**Domain-Subdomain:**Algebra: Reasoning with Equations & Inequalities

**Cluster:**Represent and solve equations and inequalities graphically. (Algebra 1 - Major Cluster) (Algebra 2 - Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

**Date Adopted or Revised:**02/14

**Date of Last Rating:**02/14

**Status:**State Board Approved - Archived

**Assessed:**Yes

### Test Item Specifications

MAFS.912.A-REI.4.10

**Assessment Limits :**

In items where a function is represented by an equation, the function

may be an exponential function with no more than one translation, a

linear function, or a quadratic function.

In items where a function is represented by a graph or table, the

function may be any continuous function.

**Calculator :**

Neutral

**Clarification :**

Students will find a solution or an approximate solution for f(x) = g(x)

using a graph.

Students will find a solution or an approximate solution for f(x) = g(x)

using a table of values.

Students will find a solution or an approximate solution for f(x) = g(x)

using successive approximations that give the solution to a given

place value.

Students will justify why the intersection of two functions is a solution

to f(x) = g(x).

Students will verify if a set of ordered pairs is a solution of a function.

**Stimulus Attributes :**

Items may be set in a mathematical or real-world context.

Items may use function notation.

Items must designate the place value accuracy necessary for

approximate solutions.

**Response Attributes :**

Items may require the student to complete a missing step in an

algebraic justification of the solution of f(x) = g(x).

Items may require the student to explain the role of the x-coordinate

and the y-coordinate in the intersection of f(x) = g(x).

Items may require the student to explain a process.

Items may require the student to record successive approximations

used to find the solution of f(x) = g(x).

### Sample Test Items (1)

Test Item # |
Question |
Difficulty |
Type |

Sample Item 1 | Cora is using successive approximations to estimate a positive solution to f(x)=g(x), where f(x)=x²+13 and g(x)=3x+14. The table shows her results for different input values of x. Use Cora's process to find the positive solution, to the nearest tenth, of f(x)=g(x). |
N/A | EE: Equation Editor |