1. Factor completely. 9×2 + 30xy + 25y2 a. (3x + 5y)2 b. (3x – 5y)(3x + 5y) c. (9x + 5y)(x + 5y) d. (3x + y)(3x + 25y) 2. During rush hour, Fernando can drive 25 miles using the side roads in the same time that it takes to travel 20 miles on the freeway. If Fernando’s rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads. a. 36 b. 38 c. 45 d. 47 3. Factor the trinomial completely.. 6b4 – 18b3 – 60b2 a. 6b2(b + 2)(b – 5) b. 6b2(b – 2)(b + 5) c. 6(b2 + 2)(b2 – 5) d. b2(2b + 5)(3b + 10) 4. Solve for x. a. –2 b. 2 c. –4 d. No solution 5.
2 2 Factor completely. 9x + 30xy + 25y 1. 2 a. (3x + 5y) b. (3x – 5y)(3x + 5y) c. (9x + 5y)(x + 5y) d. (3x + y)(3x + 25y) During rush hour, Fernando can drive 25 miles using the side roads in the same time that it takes to travel 20 miles on the freeway. If 2. Fernando’s rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads. a. 36 b. 38 c. 45 d. 47 4 3 2 Factor the trinomial completely.. 6b – 18b – 60b 3. 2 a. 6b (b + 2)(b – 5) 2 b. 6b (b – 2)(b + 5) 2 2 c. 6(b + 2)(b – 5) 2 d. b (2b + 5)(3b + 10) 4. Solve for x. a. –2 b. 2 c. –4 d. No solution The directions on a concentrated cleaner state that 3 tablespoons of concentrate make 345 ounces of cleaning fluid. How many ounces of 5. cleaning fluid will 2 tablespoons of cleaner make? a. 190b. 210 c. 230 d. 250 2 The profit on a watch is given by P = x – 13x – 80, where x is the number of watches sold per day. How many watches were sold on a day when 6. there was a $50 loss? a. 13 b. 14 c. 15 d. 16 2 The area of a rectangle of length t is given by 12t – t . Find the width of the rectangle in terms of t. 7. a. 12 – t b. 12t c. t – 12 2 d. t 8. Write in simplest form. a. b. c. d. 2 State which method should be applied as the first step for factoring the polynomial. (x + 9y) – 1 9. a. Find the GCF. b. Group the terms. c. Factor the difference of squares.
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