26) a7 4 k2 1 6 k 5b a1 2 k2 5 6 k 2b 5 4 k2 2 3 k 7 27) 5(7w 12)(w 3) 35w2 45w 180 28) (6q2 2q 35) (3q 7) 2q 4 7 3q 7 Factor completely. 29) t2 2tu 63u2 (t 7u)(t 9u) 30) 3g2 g 44 (3g 11)(g 4) 31) a2 16a 64 (a 8)2 32) Solve (z 2)2 z(3z 4) 9 33) Find the length and width of the rectangle if its area is 28 cm2. x 4 e x 1 Perform the operation and simplify. 34) 3x2 14x 16 15x 40 11x 22 x 5 length 7 cm; width 4 cm x 5 55 35) 10p 3 4p 4 8 p2 6p 7 5 2 , 1 2 10p2 67p 53 4( p 1)( p 7) 36) 2 5z2 9 10z 4 9z 10z2 37) Simplify c c 2 1 c2 4 1 3 c 2 . c 1 c 2 38) Solve 3k k 9 3 k 1 . {3, 3} Simplify. 39) 2200k21 22k5 10k8 40) 180 148 120 615 413 41) z 4 1z 2 1z 2 f 42) 23 56p12 2p423 7 Solve. 43) 16x 9 12x 1 4 {12} 44) 2c2 11 25 {312, 312} 45) n2 8n 3 0 {4 119, 4 119} 46) Graph y x2 2x 3. Identify the vertex. (1, 4) Let f (x) 2x 8 and g(x) x2 10x 3. Find each of the following. 47) f (9) 26 48) f (0) 8 49) g(5) 28 50) g(3) 36 Solve each equation. 11) 8b 7 57 {8} 12) 6 5(4d 3) 7(3 4d ) 8d {all real numbers} Solve using the Five Steps for Solving Applied Problems. 13) A number increased by nine is one less than twice the number. Find the number. 10 14) Jerome invested some money in an account earning 7% simple interest and $3000 more than that at 8% simple interest. After 1 year, he earned $915 in interest. How much money did he invest in each account? $4500 at 7% and $7500 at 8% 15) Solve 15 4p 7 5 and write the answer in interval notation. (2, 3 16) Complete the table of values for 4x 6y 8. x y 2 0 0 43 3 23 4 4 17) Graph x 2y 6 by fi nding the intercepts and at least one other point. (6, 0), (0, 3); (2, 2) may vary 18) Write the standard form of the equation of the line given the following information. 5x 3y 6 m 5 3 and y-intercept (0, 2) 19) Solve the system of equations by graphing. 2x 3y 5 y 1 2 x 4 (2, 3) Solve each system. 20) 6x y 3 15x 2y 15 21) 3 4 x y 1 2 a1 3 (2, 1) x 3 y 2 1 6 , 5b 22) A car and a tour bus leave the same location and travel in opposite directions. The car’s speed is 12 mph more than the speed of the bus. If they are 270 miles apart after 2 1 2 hours, how fast is each vehicle traveling? car: 60 mph; bus: 48 mph 23) Graph the solution set of x 4 and y 3 2 x 3. 24) Simplify a 3pq10 2p2q5 2 . b 4q30 9p6 Perform the indicated operation and simplify. 25) 5.8p3 1.2p2 p 7.5 2.1p3 6.3p2 3.8p 3.9 7.9p3 5.1p2 4.8p 3.6 660 CHAPTER 10 Quadratic Equations www.mhhe.com/messersmith
messersmith_power_introductory_algebra_1e_ch4_7_10
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