1. Equations & Inequalities

Match the equation in Column I with its solution(s) in Column II. x^2 = 25

Match the equation in Column I with its solution(s) in Column II. x^2 = -25

Use Choices A–D to answer each question. A. 3x^2 - 17x - 6 = 0 B. (2x + 5)^2 = 7 C. x^2 + x = 12 D. (3x - 1)(x - 7) = 0 Which equation is set up for direct use of the zero-factor property? Solve it

Answer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer, then x+1 represents the next consecutive integer.If x represents an even integer, then x+2 represents the next consecutive even integer.If x represents an odd integer, then x+2 represents the next consecutive odd integer. Find two consecutive integers whose product is 110.

Solve each equation in Exercises 1 - 14 by factoring.2x(x - 3) = 5x^2 - 7x

Solve each equation using the zero-factor property. See Example 1. x^2 - 5x + 6 = 0

Solve each equation in Exercises 1 - 14 by factoring.7 - 7x = (3x + 2)(x - 1)

Solve each equation in Exercises 1 - 14 by factoring.10x - 1 = (2x + 1)^2

Answer each question. Answer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer, then x+1 represents the next consecutive integer.If x represents an even integer, then x+2 represents the next consecutive even integer.If x represents an odd integer, then x+2 represents the next consecutive odd integer. The sum of the squares of two consecutive even integers is 52. Find the integers.

Answer each question. Answer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer, then x+1 represents the next consecutive integer.If x represents an even integer, then x+2 represents the next consecutive even integer.If x represents an odd integer, then x+2 represents the next consecutive odd integer. The difference of the squares of two positive consecutive even integers is 84. Find the integers.

Solve each equation in Exercises 15–34 by the square root property.(x + 2)^2 = 25

Solve each problem. See Examples 1. 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 equation in Exercises 15–34 by the square root property.3(x - 4)^2 = 15