1. Factor 12a2b + 30ab2 A. 6(2a2b + 5ab2) B. 6ab(6a + 24b) C. 6ab(2a + 5b) D. ab(12a + 30b) Hint 2. Factor 14x2 - 28y2 + 56 A. (2x + 7y + 2)(7x - 4y + 2) B. 14xy(x - 2y + 4) C. 14(x2 - 14y2 + 42) D. 14(x2 - 2y2 + 4) Hint 3. Factor x2 + 5x + 6. A. (x + 2)(x + 3) B. (x + 1)(x + 5) C. prime D. (x + 1)(x + 6) Hint 4. Factor 2x2 + 4x – 3. A. (2x + 3)(x – 1) B. (2x – 1)(x + 3) C. prime D. (2x – 3)(x + 1) Hint 5. Factor 10x2 + 24x + 8. A. (2x + 4)(5x + 2) B. 2(x + 2)(5x + 2) C. 2(x + 4)(5x + 1) D. (x + 2)(5x + 2) Hint 6. Find the prime factorization of -198. A. 2 · 32 · 10 B. –1 · 2 · 32 · 11 C. –1 · 2 · 32 · 10 D. 2 · 32 · 11 Hint 7. Is 79 prime or composite? If it is composite, what is its factorization? A. composite, 13 × 6 B. prime C. composite, 3 × 23 D. composite, 7 × 11 Hint 8. What are two consecutive numbers whose product is 132? A. 12 and 13 B. 10 and 11 C. 6 and 22 D. 11 and 12 Hint 9. Factor 3x2 – 8x + 3. A. (3x – 5)(x – 1) B. not factorable C. (3x – 1)(x – 3) D. (x – 1)(3x – 3) Hint 10. Solve 27x3 = 147x. A. B. C. D. Hint 11. Suppose that we have a 3 ft. × 3 ft. piece of paper, and we cut out a square piece so that the area of the remaining piece is 5 feet. What is the length of a side of the square? A. B. 4 ft. C. D. 2 ft. Hint 12. Solve the equation x2 – x + = 0. A. B. C. D. Hint