Solve each equation using the square root property. 27 - x² = 0

Solve each equation. x/(x-1) - 1/(x+1) = 2/(x²-1)

Solve each problem. See Example 2. Callie took 20 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day, at the same boat speed, took her 15 min. If the current in that part of the river is 5 km per hr, what was her boat speed?

Solve each equation. 0.5x+ (4/3)x= x+10

Volume of a Box. A rectangular piece of metal is 10 in. longer than it is wide. Squares with sides 2 in. long are cut from the four corners, and the flaps are folded upward to form an open box. If the volume of the box is 835 in.³, what were the original dimensions of the piece of metal?

Perform each operation. Write answers in standard form. -5i(3-i)²

Write each number as the product of a real number and i. -√-18

Solve each equation using the square root property. 48 - x² = 0

Solve each inequality. Give the solution set in interval notation. | 3x - 4 | < 2

Perform each operation. Write answers in standard form. (-12 -i) / (-2 -5i)

Solve each inequality. Give the solution set in interval notation. -5<5+2x<11

Solve each problem. See Example 3. How many gallons of a 5% acid solution must be mixed with 5 gal of a 10% solution to obtain a 7% solution?

Solve each equation. 0.08x+0.06(x+12) = 7.72

Manufacturing to Specifications. A manufacturing firm wants to package its product in a cylindrical container 3 ft high with surface area 8π ft². What should the radius of the circular top and bottom of the container be? (Hint: The surface area consists of the circular top and bottom and a rectangle that represents the side cut open vertically and unrolled.)

Find each product or quotient. Simplify the answers. √-13 * √-13

Solve each equation using the square root property. x² = -400

Solve each inequality. Give the solution set in interval notation. . | 3x - 4 | ≥ 2

Simplify each power of i. i¹¹

Dimensions of a Square What is the length of the side of a square if its area and perimeter are numerically equal?

Solve each problem. See Example 3. Aryan wishes to strengthen a mixture from 10% alcohol to 30% alcohol. How much pure alcohol should be added to 7 L of the 10% mixture?

Solve each inequality. Give the solution set in interval notation. | 1/2 - x | ≤ 2

Solve each inequality. Give the solution set in interval notation. 10≤2x+4≤16

Find each product or quotient. Simplify the answers. √-3 * √-8

Solve each inequality. Give the solution set in interval notation. | 3/5 + x | < 1

Solve each equation using the square root property. (4x + 1)² = 20

Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set. (1/2)(6x+20) = x+4 +2(x+3)

Solve each problem. See Example 3. How much water should be added to 8 mL of 6% saline solution to reduce the concentration to 4%?

Radius of a Can A can of Blue Runner Red Kidney Beans has surface area 371 cm². Its height is 12 cm. What is the radius of the circular top? Round to the nearest hundredth.

Simplify each power of i. i¹⁰⁰¹

Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set. 2(x-8) = 3x-16