Solve each linear equation. See Examples 1–3. 7x + 8 = 1

For the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the midpoint M of line segment PQ. See Examples 1 and 2. P(-5, -6), Q(7, -1)

Find each sum or difference. See Example 1. -6 + (-13)

Work each matching problem.

Match each equation in Column I with a description of its graph from Column II as it relates to the graph of y = x².

I II

a. y = (x - 7)² A. a translation to the left 7 units

b. y = x² - 7 B. a translation to the right 7 units

c. y = 7x² C. a translation up 7 units

d. y = (x + 7)² D. a translation down 7 units

e. y = x² + 7 E. a vertical stretching by a factor of 7

Find the domain of each rational expression. See Example 1. (x + 3) / (x - 6)

Determine whether each relation defines a function. See Example 1. {(5, 1), (3, 2), (4, 9), (7, 8)}

List the elements in each set. See Example 1. {x|x is a whole number less than 6}