Solve each problem. See Example 2. Elwyn averaged 50 mph traveling from Denver to Minneapolis. Returning by a different route that covered the same number of miles, he averaged 55 mph. What is the distance between the two cities to the nearest ten miles if his total traveling time was 32 hr?

Solve each equation. 4[2x-(3-x)+5] = -6x - 28

Solve each equation. |x + 1 | = |1 -3x|

Solve each equation using the zero-factor property. x² - 64 = 0

Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) √-36

Perform each operation. Write answers in standard form. 15i- (3+2i) -11

Dimensions of a Square. The length of each side of a square is 3 in. more than the length of each side of a smaller square. The sum of the areas of the squares is 149 in.². Find the lengths of the sides of the two squares.

Solve each inequality. Give the solution set in interval notation. (4x+7)/-3≤2x+5

Write each number as the product of a real number and i. √-25

Solve each equation. (1/15)(2x+5) = (1/9)(x+2)

Solve each problem. See Example 2. Two planes leave Los Angeles at the same time. One heads south to San Diego, while the other heads north to San Francisco. The San Diego plane flies 50 mph slower than the San Francisco plane. In 1/2 hr, the planes are 275 mi apart. What are their speeds?

Solve each inequality. Give the solution set in interval notation. (2x-5)/-8≤1-x

Solve each equation. |3 - 2x | = |5 - 2x |

Solve each equation using the zero-factor property. 9x² - 12x + 4 = 0

Solve each problem. See Example 2. In the Apple Hill Fun Run, Mary runs at 7 mph, Janet at 5 mph. If they start at the same time, how long will it be before they are 1.5 mi apart?

Dimensions of a Parking Lot. A parking lot has a rectangular area of 40,000 yd². The length is 200 yd more than twice the width. Find the dimensions of the lot.

Solve each inequality. Give the solution set in interval notation. (1/3)x+(2/5)x-(1/2)(x+3)≤1/10

Solve each equation. 0.2x - 0.5 = 0.1x+7

Write each number as the product of a real number and i. √-10

Solve each inequality. Give the solution set in interval notation. -(2/3)x-(1/6)x+(2/3)(x+1)≤4/3

Solve each equation using the zero-factor property. 36x² + 60x + 25 = 0

Solve each equation. 3/(x²+x-2) - 1/(x²-1) = 7/(2x²+6x+4)

Perform each operation. Write answers in standard form. (-8+2i)(-1+i)

Perform each operation. Write answers in standard form. (5-11i)(5+11i)

Dimensions of a Rug. Zachary wants to buy a rug for a room that is 12 ft wide and 15 ft long. He wants to leave a uniform strip of floor around the rug. He can afford to buy 108 ft² of carpeting. What dimensions should the rug have?

Solve each problem. See Example 2. At the 2008 Summer Olympics in Beijing, Usain Bolt set a new Olympic and world record in the 100-m dash with a time of 9.69 sec. If this pace could be maintained for an entire 26-mi marathon, what would his time be? How would this time compare to the fastest time for a marathon, which is 2 hr, 3 min, 23 sec, set in 2013? (Hint: 1 m ≈ 3.281 ft.) (Data from Sports Illustrated Almanac.)

Solve each equation. -4(2x-6) +8x= 5x+24+x

Write each number as the product of a real number and i. √-288

Solve each equation using the square root property. See Example 2. x² = 121

Solve each equation. See Example 2. (4x+3)/(x+1) + 2/x = 1/(x²+x)