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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