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```					            Ohio Grade 7 Achievement Test for Mathematics – March 2005
Annotated Item 25
Standard and Benchmark Assessed:

Standard:    Patterns, Functions and Algebra
Benchmark: G. Write, simplify and evaluate algebraic expressions.

Multiple Choice Question:
25.   Which expression is equivalent to 5(a + a + b)?

A. 15ab

B. 10a + b

C. 5a + 5b

D. 10a + 5b

Commentary:
This multiple-choice question asks students to determine which expression is equivalent to the
given expression. Students may model the problem by writing 5 sets of a + a + b and combining
like terms or students may use the distributive property and combine like terms. Answer choice
D is the correct answer. Answer choices A, B and C are the result of not combining like terms
appropriately.

The level of complexity for this question is Moderate Complexity. The task requires students to
represent a mathematical expression in more than one way.

Performance Data:
The percent of public school students selecting answer choice D for question 25 on the March
2005 Grade 7 Achievement Test was 30%.

Keywords: algebra, simplify algebraic expressions

Source: Ohio Department of Education                                                     July 05

```
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