Distribution, CLT and Substitution Name Date

Simplify each expression. Copy original problems and show all work for all steps on separate paper. REMEMBER TO SUBSTITUTE LAST (The answers are provided so that you know
whether or not you are doing the problems correctly)
1) 5(10 + 6r) - 9 , r = 2
(Solution: 101)

2) -2 - (-9 p - 11) , p = - 3
(Solution: - 18)

3) -7(x + 4) - 11x , x = 8
(Solution: - 172)

4) -5(10 - 8n) - 9(1 - n) , n = -6
(Solution: - 353)

5) 10(7v - 8) - (v - 7) , v = 1
(Solution: - 4)

6) 6(-2 - 4a) - 9(2a + 6) , a = -7
(Solution: 228)

Acable company wants to provide cell phone service for residents on an island. the function for the cost of laying the cable from the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. what are the domain and range of the function? a) domain: all real numbers range: all real numbers greater than or equal to 17,000 b) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 17,000 c) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000 d) domain: all real numbers greater than or equal to 13,000 range: all real numbers greater than or equal to 0

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

Which of the following shows the length of the third side, in inches, of the triangle below