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EOC Practice #7 SPI 3102.2.1 EOC Practice #7 • Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including radicands involving rational numbers and algebraic expressions. 1. If the value of the variable x is positive, what is the sum of 7 3x and 3x ? A. 7 3x C. 7 6 x B. 8 3x D. 8 6 x 2. What is the value of the following expression? 36 25 49 64 A. B. 1079 3136 11 C. 15 83 56 D. 13 56 3. Write 75 in simplest radical form. A. 5 3 C. 3 5 B. 15 5 D. 5 15 4. Which expression is equivalent to 5x 2 ? 4 A. 5x4 C. 25x8 B. 25x4 D. 625x8 5. Which expression is equivalent to 10x ? 5 A. 2 x 5 C. 5x 2 B. 10 x 5 D. 10x 25 6. What is the product of 2 3 and 3 5 ? A. 5 15 C. 5 8 B. 6 8 D. 6 15 4 5 7. Write 18 x y in simplest radical form. A. B. 2 2 2 2 2x y 3x y 3y C. 2 xy 3 y 6y 2 D. 3x y 2 2 2y 2 8. If x ≠ , which expression is 3 2 equivalent to 3x 20 x 12 ? 9 x 12 x 4 2 A. x + 6 C. –6x2 + 8x – 8 B. 3x + 2 D. 12x2 + 32x + 16 The Answers 1. If the value of the variable x is positive, what is the sum of 7 3x and 3x ? A. 7 3x C. 7 6 x B. 8 3x D. 8 6 x 2. What is the value of the following expression? 36 25 49 64 A. B. 1079 3136 11 C. 15 83 56 D. 13 56 3. Write 75 in simplest radical form. A. 5 3 C. 3 5 B. 15 5 D. 5 15 4. Which expression is equivalent to 5x 2 ? 4 A. 5x4 C. 25x8 B. 25x4 D. 625x8 5. Which expression is equivalent to 10x ? 5 A. 2 x 5 C. 5x 2 B. 10 x 5 D. 10x 25 6. What is the product of 2 3 and 3 5 ? A. 5 15 C. 5 8 B. 6 8 D. 6 15 4 5 7. Write 18 x y in simplest radical form. A. B. 2 2 2 2 2x y 3x y 3y C. 2 xy 3 y 6y 2 D. 3x y 2 2 2y 2 8. If x ≠ , which expression is 3 2 equivalent to 3x 20 x 12 ? 9 x 12 x 4 2 A. x + 6 C. –6x2 + 8x – 8 B. 3x + 2 D. 12x2 + 32x + 16