1. Equations & Inequalities

For each equation, (a) solve for x in terms of y.. See Example 8. 4x^2 - 2xy + 3y^2 = 2

Solve each equation in Exercises 1 - 14 by factoring.x^2 - 3x - 10 = 0

Match the equation in Column I with its solution(s) in Column II. x^2 + 5 = 0

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 square root property? Solve it

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. Find two consecutive odd integers whose product is 63.

Solve each equation using the zero-factor property. See Example 1. x^2 + 2x - 8 = 0

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 difference of the squares of two positive consecutive odd integers is 32. Find the integers.

Solve each equation using the zero-factor property. See Example 1. x^2 - 64 = 0

Solve each equation in Exercises 15–34 by the square root property.(x + 3)^2 = - 16

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 832 in.^3, what were the original dimensions of the piece of metal?

Solve each equation using the square root property. See Example 2. 27 - x^2 = 0

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