1.1 EXERCISES Determine whether each given number is a solution Solve each equation. Identify each equation as an identity, an inconsistent equation, or a conditional equation. to the equation following it. 9. 3, 2x - 4 = 9 27. 3(x - 6) = 3x - 18 11. -3, (x - 1)2 = 16 29. 2x + 3x = 4x 31. 2(x + 3) = 3(x - 1) Solve each equation and check your answer. 13. 3x - 5 = 0 33. 3(x - 6) = 3x + 18 15. -3x + 6 = 12 3x 35. - = 3 17. 8x - 6 = 1 - 6x X 19. 7 + 3x = 4(x - 1) Solve each equation involving rational expressions. Identify each equation as an identity, an inconsistent equation, or a conditional 3 equation. 21. -x = 18 4 37. W - 1 2w - 2 2w - 2 23. NIX 5 = -12 W / N 1 1 3 1 39 + 25. -x + -X X 3x 2x 6x 22 EXERCISES Simplify each expression. 69. (V=6)" 7. V=2+V-50 3 N 2 75. 3 + V32 4(1)(5) 77. V-8(V-2 + V3) 73. b + Vb - 4a Evaluate the expression 2c for each choice of a, b, and c. it 79.a=1,b=2,c=5 8l. a=2b=4,c=3 -b Vb - 4a Evaluate the expression > L for each choice of a, b, a and c. 83. a=1,b=6,c=17 8. a=-2,b=6,c=6 Perform the indicated operations. Write the answers in the form a + bi where a and b are real numbers. 87. (3 5i)(3 + 5i) 89. (3 5i) + (3 + 5i) ~ o 3 + 5i 93. (6 2i) (7 3i) 95, Pl 3i)