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Mathematics I EOCT UNIT 2: ALGEBRA INVESTIGATIONS EOCT Test Prep Items 1) A train travels at a rate of (4 x + 5) miles per hour. How many miles can it travel at that rate in ( x â 1) hours? A. B. C. D. 3 x â 4 miles 5 x â 4 miles 4 x 2 + x â 5 miles 4 x 2 â 9 x â 5 miles [Key: C] 2) Taylor and Susan each have a box that is in the shape of a cube. The edges of Taylorâs box are each x cm in length. The edges of Susanâs box are 4 cm longer than on Taylorâs cube. What binomial expansion represents the volume of Susanâs box? A. ( x 2 + 8 x + 16) cm3 B. ( x3 + 12 x 2 + 48 x + 64) cm3 C. ( x3 + 768 x 2 + 192 x + 4) cm3 D. ( x 4 + 12 x3 + 96 x 2 + 256 x + 256) cm3 [Key: B] 3) What is the product of the expression represented by the model below? A. 3x + 11 B. x3 + 30 C. 2 x 2 + 10 x + 36 D. 2 x 2 + 16 x + 30 [Key: D] 38 Copyright © 2010 by the Georgia Department of Education ⢠All Rights Reserved