1. Which of the following values is prime? A. 96 B. 81 C. 72 D. 53 Hint 2. Factor 54x3y2 A. 23 · 3 · x · x · x · y · y B. 2 · 33 · x · x · x · y · y C. 2 · 27 · x · x · x · y · y D. 2 · 33 · x · x · y · y · y Hint 3. Factor 3x3 + 2x2y + 3xy2 + 2y3 A. (3x + 2y)(x + y)(x - y) B. x2(3x + 2y) + y2(3x + 2y) C. (x2 + y2)(3x + 2y) D. xy(3x2 + 2x + 3y + 2y2) Hint 4. Factor r4 – 81. A. (r2 + 9)(r + 3)(r - 3) B. (r2 + 9)(r2 + 9) C. prime D. (r + 3)2(r + 3)2 Hint 5. Factor A. B. C. prime D. Hint 6. Solve 5x2 – 10x = 0. A. x = 2 B. x = 0 or x = -2 C. x = 0 or x = 2 D. x = 0 Hint 7. Solve a2 – 12a = -27. A. a = 3 B. a = 9 C. a = 3 or a = 9 D. a = -27 or a = -15 Hint 8. When factoring quadratic trinomials of the form x2 + bx + c, what is true about m and n if the factored form is (x + m)(x + n)? A. The product of b and c is equal to the sum of m and n. B. Their sum is equal to b, and their product is equal to c. C. The sum of b and c is equal to the product of m and n. D. Their sum is equal to c, and their product is equal to b. Hint 9. Factor 5x2 + 13x – 6. A. (5x + 2)(x – 3) B. (5x + 3)(x – 2) C. (5x – 2)(x + 3) D. not factorable Hint 10. Factor 4x2 – 14x – 8. A. 2(2x + 1)(x – 4) B. (2x + 1)(x – 2) C. 2(2x + 1)(x – 2) D. (2x + 1)(x – 4) Hint 11. Solve the equation x2 – x + = 0. A. B. C. D. Hint 12. Solve the following: (q + 2)2 = 25. A. {–3, 3} B. {–7} C. {3} D. {–7, 3} Hint