Simplify monomials and monomial expressions using the laws of integral exponents.
Remarks
Example 1: Simplify
Example 2: Simplify:


Example 3: Simplify:

Example 4: Simplify:

Example 5: Simplify:

Example 6: Simplify:

Example 7: Simplify:

General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Algebra
Idea: Level 1: Recall
Standard: Polynomials - Perform operations on polynomials. Find factors of polynomials, learning special techniques for factoring quadratics. Understand the relationships among the solutions of polynomial equations, the zeros of a polynomial function, the x-intercepts of a graph, and the factors of a polynomial.
Date Adopted or Revised: 09/07
Content Complexity Rating:
Level 1: Recall
-
More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
-
Item Type(s):
This benchmark may be assessed using:
MC
,
FR
item(s)
- Clarification :
Students will apply the laws of exponents to simplify monomials and monomial expressions with integral exponents. - Content Limits :
Exponents should adhere to the general content limits.
Items must have a variable base and may include a numerical base.
Monomials may have no more than three variables.
Items may use negative exponents.
- Stimulus Attributes :
Items may be set in either real-world or mathematical contexts. - Response Attributes :
Fill-in response items may require that students provide an exponent for a specified monomial term.
Fill-in response items may have a negative answer.
Sample Test Items (2)
- Test Item #: Sample Item 1
- Question: The expression
is equivalent to which of the following?
- Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 2
- Question:
Mina simplified the expression shown below.
Her final answer was in the form ambn . If she simplified the expression correctly, what is the value of n, the exponent on b ?
- Difficulty: N/A
- Type: FR: Fill-in Response
Related Access Points
Alternate version of this benchmark for students with significant cognitive disabilities.
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